Representation theory of finite dimensional algebras

2011/02/A/ST1/00216

Keywords

Descriptors

  • ST1_2: Algebra

Panel

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution

Uniwersytet Mikołaja Kopernika, Wydział Matematyki i Informatyki

Voivodeship: kujawsko-pomorskie

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Andrzej Skowroński

Number of co-investigators in the project: 13

Call

MAESTRO 1 – announced on 2011-06-15

Amount awarded
1 850 000 PLN
Project start date
2012-04-30
Project end date
2017-12-30
Project duration
68 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Laptopy (6 pcs). Cost: 2 361 PLN

Information in the final report

Publication in academic press/journals (58)

  1. The Krull-Gabriel Dimension of Cycle-Finite Artin Algebras

    Authors:
    Andrzej Skowroński
    Academic press:
    Algebras and Representation Theoreory (year: 2016, volume: 19, pages: 215–233), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10468-015-9571-6 – link to the publication
  2. On algebras of generalized standard semiregular type

    Authors:
    Andrzej Skowroński, Paweł Wiśniewski
    Academic press:
    Journal of Algebra (year: 2016, volume: 451, pages: 401–460), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.12.008 – link to the publication
  3. Composition of irreducible morphisms in quasi-tubes

    Authors:
    Claudia Chaio, Piotr Malicki
    Academic press:
    Journal of Algebra and Its Applications (year: 2017, volume: 16, pages: 1750071 (24 pages)), Publisher: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0219498817500712 – link to the publication
  4. Degrees of irreducible morphisms in generalized standard coherent almost cyclic components

    Authors:
    Claudia Chaio, Piotr Malicki
    Academic press:
    Communications in Algebra (year: 2017, volume: 45, pages: 1953–1968), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2016.1226869 – link to the publication
  5. Cycles of modules and finite representation type

    Authors:
    Jerzy Białkowski, Andrzej Skowroński
    Academic press:
    Bulletin of the London Mathematical Society (year: 2016, volume: 48, pages: 589–600), Publisher: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms/bdw030 – link to the publication
  6. On the support algebras of indecomposable modules over tame algebras of polynomial growth

    Authors:
    Adam Hajduk
    Academic press:
    Journal of Algebra (year: 2017, volume: 473, pages: 110-131), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2016.10.037 – link to the publication
  7. Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators

    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Transactions of the American Mathematical Society (year: 2015, volume: 367, pages: 5475–5505), Publisher: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9947-2014-06206-5 – link to the publication
  8. Cycle-finite algebras with finitely many tau-rigid indecomposable modules

    Authors:
    Piotr Malicki, Andrzej Skowroński
    Academic press:
    Communications in Algebra (year: 2016, volume: 44, pages: 2048–2057), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2015.1027398 – link to the publication
  9. Krull dimension of tame generalized multicoil algebras

    Authors:
    Piotr Malicki
    Academic press:
    Algebras and Representation Theory (year: 2015, volume: 18, pages: 881-894), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10468-015-9520-4 – link to the publication
  10. Super-decomposable pure-injective modules over algebras with strongly simply connected Galois coverings

    Authors:
    Stanisław Kasjan, Grzegorz Pastuszak
    Academic press:
    Journal of Pure and Applied Algebra (year: 2016, volume: 220, pages: 2985–2999), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2016.01.014 – link to the publication
  11. Operations on Arc Diagrams and Degenerations for Invariant Subspaces of Linear Operators. Part II

    Authors:
    Mariusz Kaniecki, Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Communications in Algebra (year: 2018, volume: 46, pages: 2243-2263), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2017.1376212 – link to the publication
  12. Box moves on Littlewood–Richardson tableaux and an application to invariant subspace varieties

    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Journal of Algebra (year: 2017, volume: 491, pages: 241–264), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2017.07.025 – link to the publication
  13. Higher Tetrahedral Algebras

    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Algebras and Representation Theory (year: 2019, volume: 22, pages: 387-406), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10468-018-9772-x – link to the publication
  14. Two Partial Orders for Littlewood-Richardson Tableaux

    Authors:
    Justyna Kosakowska, Markus Schmidmeier, Hugh Thomas
    Academic press:
    Electronic Journal of Combinatorics (year: 2019, volume: 26(3), pages: 18 stron), Publisher: Electronic Journal of Combinatorics
    Status:
    Published
  15. Selfinjective algebras without short cycles of indecomposable modules

    Authors:
    Alicja Jaworska-Pastuszak, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (year: 2018, volume: 222, pages: 3432-3447), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2017.12.016 – link to the publication
  16. Weighted surface algebras

    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebra (year: 2018, volume: 505, pages: 490-558), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2018.02.033 – link to the publication
  17. The representation dimension of a sefinjective algebra of Euclidean type

    Authors:
    Ibrahim Assem, Andrzej Skowroński, Sonia Trepode
    Academic press:
    Journal of Algebra (year: 2016, volume: 459, pages: 157–188), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2016.03.033 – link to the publication
  18. Existence of cycle-finite algebras of infinite representation type without directing projective and injective modules

    Authors:
    Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (year: 2017, volume: 148, pages: 165-190), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7190-2-2017 – link to the publication
  19. The representation dimension of a selfinjective algebra of wild tilted type

    Authors:
    Ibrahim Assem, Andrzej Skowroński, Sonia Trepode
    Academic press:
    Journal of Algebra (year: 2017, volume: 477, pages: 163–194), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2016.12.010 – link to the publication
  20. Strongly simply connected algebras with super-decomposable pure-injective modules

    Authors:
    Grzegorz Pastuszak
    Academic press:
    Journal of Pure and Applied Algebra (year: 2015, volume: 219, pages: 3314-3321), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.10.016 – link to the publication
  21. A characterization of cycle-finite generalized double tilted algebras

    Authors:
    Adam Skowyrski
    Academic press:
    Journal of Algebra (year: 2014, volume: 416, pages: 46046), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2014.06.006 – link to the publication
  22. The boundary of the irreducible components for invariant subspace varieties

    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Mathematishe Zeitschrift (year: 2018, volume: 290, pages: 953-972), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1007/s00209-018-2047-8 – link to the publication
  23. Cycle-finite algebras having finitely many indecomposable modules lying on short paths with injective source and projective target

    Authors:
    Adam Skowyrski
    Academic press:
    Journal of Pure and Applied Algebra (year: 2016, volume: 220, pages: 364–381), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2015.06.017 – link to the publication
  24. Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one

    Authors:
    Adam Skowyrski
    Academic press:
    Colloquium Mathematicum (year: 2013, volume: 132, pages: 239-270), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm132-2-6 – link to the publication
  25. On the existence of super-decomposable pure-injective modules over strongly simply connected algebras of non-polynomial growth

    Authors:
    Stanisław Kasjan, Grzegorz Pastuszak
    Academic press:
    Colloquium Mathematicum (year: 2014, volume: 136, pages: 179-220), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm136-2-3 – link to the publication
  26. Hochschild cohomology of generalized multicoil algebras

    Authors:
    Piotr Malicki, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (year: 2014, volume: 136, pages: 231-254), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm136-2-5 – link to the publication
  27. A note on quasi-tilted algebras

    Authors:
    Andrzej Skowroński, Adam Skowyrski
    Academic press:
    Colloquium Mathematicum (year: 2014, volume: 134, pages: 281-286), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm134-2-11 – link to the publication
  28. Relative stable equivalences of Morita type

    Authors:
    Zygmunt Pogorzały
    Academic press:
    Mathematische Zeitscherift (year: 2018, volume: 288, pages: 531-539), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s00209-017-1899-7 – link to the publication
  29. Finite cycles of indecomposable modules

    Authors:
    Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (year: 2015, volume: 219, pages: 1761–1799), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.07.011 – link to the publication
  30. Domestic generalized multicoil enlargements of concealed canonical algebras

    Authors:
    Piotr Malicki
    Academic press:
    Journal of Algebra and Its Applications (year: 2014, volume: 13, pages: 10 stron), Publisher: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0219498813501053 – link to the publication
  31. On stable equivalence of tensor products of algebras

    Authors:
    Karolina Mroczyńska, Zygmunt Pogorzały
    Academic press:
    Communications in Algebra (year: 2015, volume: 43(3), pages: 916-934), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2013.852007 – link to the publication
  32. Derived equivalence classification of weakly symmetric algebras of domestic type

    Authors:
    Rafał Bocian, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (year: 2016, volume: 142, pages: 115-133), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm142-1-6 – link to the publication
  33. The periodicity conjecture for blocks of group algebras

    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (year: 2015, volume: 138, pages: 283-294), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm138-2-12 – link to the publication
  34. Orbit algebras that are invariant under stable equivalences of Morita type

    Authors:
    Zygmunt Pogorzały
    Academic press:
    Central European Journal of Mathematics (year: 2014, volume: 12(6), pages: 813-823), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.2478/s11533-013-0385-7 – link to the publication
  35. Varieties of invariant subspaces given by Littlewood-Richardson tableaux

    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Oberwolfach Preprints (year: 2014, volume: OWP 2014 - 01, pages: 12055), Publisher: Mathematisches Forschungsinstitut Oberwolfach gGmbH
    Status:
    Published
  36. On the number of terms in the middle of almost split sequences over cycle-finite artin algebras

    Authors:
    Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
    Academic press:
    Central European Journal of Mathematics (year: 2014, volume: 12 (1), pages: 39-45), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.2478/s11533-013-0328-3 – link to the publication
  37. Periodicity of self-injective algebras of polynomial growth

    Authors:
    Jerzy Białkowski, Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebra (year: 2015, volume: 443, pages: 200-269), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.05.033 – link to the publication
  38. On selfinjective algebras of finite representation type with maximal almost split sequences

    Authors:
    Marta Błaszkiewicz, Andrzej Skowroński
    Academic press:
    Journal of Algebra (year: 2015, volume: 422, pages: 450–486), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2014.09.018 – link to the publication
  39. Algebras of generalized dihedral type

    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Nagoya Mathematical Journal (year: 2019, volume: Online, pages: 56 stron), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.1017/nmj.2019.1 – link to the publication
  40. On Krull-Gabriel dimension and Galois coverings

    Authors:
    Grzegorz Pastuszak
    Academic press:
    Advances of Mathematics (year: 2019, volume: 349, pages: 959-991), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.04.035 – link to the publication
  41. The structure and homological properties of generalized standard Auslander-Reiten components

    Authors:
    Piotr Malicki, Andrzej Skowroński
    Academic press:
    Journal of Algebra (year: 2019, volume: 518, pages: 14246), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2018.10.015 – link to the publication
  42. Socle deformed preprojective algebras of generalized Dynkin type

    Authors:
    Jerzy Białkowski
    Academic press:
    Colloquium Mathematicum (year: 2019, volume: 156, pages: 165-198), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7527-5-2018 – link to the publication
  43. On selfinjective algebras of tilted type

    Authors:
    Andrzej Skowroński, Kunio Yamagata
    Academic press:
    Colloquium Mathematicum (year: 2015, volume: 141, pages: 89-117), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm141-1-9 – link to the publication
  44. Zero-relation quiver Poisson algebras

    Authors:
    Karolina Mroczyńska, Zygmunt Pogorzały
    Academic press:
    Colloquium Mathematicum (year: 2018, volume: 154, pages: 167-181), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7426-12-2017 – link to the publication
  45. Degrees and compositions of irreducible morphisms in coils

    Authors:
    Claudia Chaio, Piotr Malicki
    Academic press:
    Colloquium Mathematicum (year: 2019, volume: 155, pages: 46052), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7441-1-2018 – link to the publication
  46. Deformed preprojective algebras of Dynkin type E6

    Authors:
    Jerzy Białkowski
    Academic press:
    Communications in Algebra (year: 2019, volume: 47, pages: 1568-1577), Publisher: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2018.1508585 – link to the publication
  47. Selfinjective algebras having a generalized standard family of quasi-tubes maximally saturated by simple and projective modules

    Authors:
    Alicja Jaworska-Pastuszak, Marta Kwiecień, Andrzej Skowroński
    Academic press:
    Journal of Algebra (year: 2019, volume: 520, pages: 367-399), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2018.10.034 – link to the publication
  48. Selfinjective algebras with hereditary stable slice

    Authors:
    Andrzej Skowroński, Kunio Yamaga
    Academic press:
    Journal of Algebra (year: 2019, volume: 530, pages: 146-162), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2019.04.010 – link to the publication
  49. Cycle-finite algebras of semiregular type

    Authors:
    Jerzy Białkowski, Andrzej Skowroński, Adam Skowyrski, Paweł Wiśniewski
    Academic press:
    Colloquium Mathematicum (year: 2012, volume: 129, pages: 211-247), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm129-2-5 – link to the publication
  50. On tame concealed algebras

    Authors:
    Alicja Jaworska-Pastuszak
    Academic press:
    Colloquium Mathematicum (year: 2018, volume: 154, pages: 47-64), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7328-10-2017 – link to the publication
  51. Hochschild cohomology for periodic algebras of polynomial growth

    Authors:
    Jerzy Białkowski, Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (year: 2019, volume: 223, pages: 1548-1589), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2018.06.018 – link to the publication
  52. On tame algebras of semiregular tubular type

    Authors:
    Jerzy Białkowski, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (year: 2015, volume: 219, pages: 1429–1454), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.06.011 – link to the publication
  53. Degrees of irreducible morphisms in coherent almost cyclic Auslander-Reiten components

    Authors:
    Claudia Chaio, Piotr Malicki, Andrzej Skowroński
    Academic press:
    Journal of Algebra (year: 2013, volume: 391, pages: 125-151), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2013.06.011 – link to the publication
  54. Modules not being the middle of short chains

    Authors:
    Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
    Academic press:
    The Quarterly Journal of Mathematics (year: 2013, volume: 64, pages: 1141–1160), Publisher: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/qmath/has034 – link to the publication
  55. On domestic algebras of semiregular type

    Authors:
    Alicja Jaworska-Pastuszak, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (year: 2013, volume: 132, pages: 271-294), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm132-2-7 – link to the publication
  56. Algebras of generalized quaternion type

    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Advances in Mathematics (year: 2019, volume: 349, pages: 1036-1116), Publisher: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.04.037 – link to the publication
  57. On self-injective algebras of finite representation type

    Authors:
    Marta Błaszkiewicz, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (year: 2012, volume: 127, pages: 111-126), Publisher: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm127-1-8 – link to the publication
  58. From Brauer graph algebras to biserial weighted surface algebras

    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebraic Combinatorics (year: 2018, volume: Online, pages: 38), Publisher: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10801-018-0867-6 – link to the publication

Articles in post-conference publications (3)

  1. Cycle-finite module categories

    Authors:
    Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
    Conference:
    Algebras, Quivers and Representations, Abel Symposia 8 (year: 2013, pages: 209-252), Publisher: Springer-Verlag
    Date:
    conference 40695
    Status:
    Published
  2. Arc diagram varieties

    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Conference:
    Expository lectures on representation theory (year: 2014, pages: 205-224), Publisher: American Mathematical Society
    Date:
    conference 41000
    Status:
    Published
  3. Auslander–Reiten Theory for Finite-Dimensional Algebras

    Authors:
    Piotr Malicki
    Conference:
    Homological Methods, Representation Theory, and Cluster Algebras (year: 2018, pages: 21-63), Publisher: CRM Short Courses, Springer International Publishing
    Date:
    conference March 7-18, 2016
    Status:
    Published
    DOI:
    link to the publication

Book publications / chapters in book publications (1)

  1. Frobenius Algebras. II. Tilted and Hochschild Extension Algebras

    Authors:
    Andrzej Skowroński, Kunio Yamagata
    Book:
    Frobenius Algebras. II. Tilted and Hochschild Extension Algebras (year: 2017, volume: II, pages: x+619 pp.), Publisher: EMS Textbooks in Mathematics, European Mathematical Society (EMS)
    Status:
    Published

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Graphic design and implementation: Jakub Piotrowski