Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Representation theory of finite dimensional algebras

2011/02/A/ST1/00216

Keywords:

algebra quiver Dynkin quiver Euclidean quiver Auslander-Reiten quiver module category Grothendieck group finite representation type tame type finite growth polynomial growth generic module generically tame Euler form Tits form simply connected algebra Galois covering Hochschild cohomology algebra deformation global dimension projective dimension injective dimension Jacobson radical of module category hereditary algebra tilted algebra quasitilted algebra tubular algebra Frobenius algebra symmetric algebra selfinjective algebra repetitive algebra orbit algebra derived category Calabi-Yau dimension syzygy operator periodic module periodic algebra derived equivalence generalized standard component stable tube Ringel-Hall algebra triangulated category Calabi-Yau category preprojective algebra degeneration of module singularity hypersurface Cohen-Macaulay module stable Auslander algebra

Descriptors:

  • ST1_2:

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

woj. 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 (Y-m-d): 2012-04-30

Project end date (Y-m-d): 2017-12-30

Project duration:: 68 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Laptopy (6 szt.) (2 361 PLN)

Information in the final report

  • Publication in academic press/journals (48)
  • Articles in post-conference publications (3)
  • Book publications / chapters in book publications (1)
  1. 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 (rok: 2018, tom: 46, strony: 2243-2263), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2017.1376212 - link to the publication
  2. Box moves on Littlewood–Richardson tableaux and an application to invariant subspace varieties
    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Journal of Algebra (rok: 2017, tom: 491, strony: 241–264), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2017.07.025 - link to the publication
  3. On tame concealed algebras
    Authors:
    Alicja Jaworska-Pastuszak
    Academic press:
    Colloquium Mathematicum (rok: 2018, tom: 154, strony: 47-64), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7328-10-2017 - link to the publication
  4. Hochschild cohomology of generalized multicoil algebras
    Authors:
    Piotr Malicki, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (rok: 2014, tom: 136, strony: 231-254), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm136-2-5 - link to the publication
  5. Modules not being the middle of short chains
    Authors:
    Alicja Jaworska, Piotr Malicki, Andrzej Skowroński
    Academic press:
    The Quarterly Journal of Mathematics (rok: 2013, tom: 64, strony: 1141–1160), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/qmath/has034 - link to the publication
  6. Relative stable equivalences of Morita type
    Authors:
    Zygmunt Pogorzały
    Academic press:
    Mathematische Zeitscherift (rok: 2018, tom: 288, strony: 531-539), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s00209-017-1899-7 - link to the publication
  7. Weighted surface algebras
    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebra (rok: 2018, tom: 505, strony: 490-558), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2018.02.033 - 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 (rok: 2016, tom: 44, strony: 2048–2057), Wydawca: 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 (rok: 2015, tom: 18, strony: 881-894), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10468-015-9520-4 - link to the publication
  10. Degrees of irreducible morphisms in generalized standard coherent almost cyclic components
    Authors:
    Claudia Chaio, Piotr Malicki
    Academic press:
    Communications in Algebra (rok: 2017, tom: 45, strony: 1953–1968), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2016.1226869 - link to the publication
  11. Higher Tetrahedral Algebras
    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Algebras and Representation Theory (rok: 2019, tom: 22, strony: 387-406), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10468-018-9772-x - link to the publication
  12. From Brauer graph algebras to biserial weighted surface algebras
    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebraic Combinatorics (rok: 2018, tom: Online, strony: 38), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10801-018-0867-6 - link to the publication
  13. Zero-relation quiver Poisson algebras
    Authors:
    Karolina Mroczyńska, Zygmunt Pogorzały
    Academic press:
    Colloquium Mathematicum (rok: 2018, tom: 154, strony: 167-181), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7426-12-2017 - link to the publication
  14. Orbit algebras that are invariant under stable equivalences of Morita type
    Authors:
    Zygmunt Pogorzały
    Academic press:
    Central European Journal of Mathematics (rok: 2014, tom: 12(6), strony: 813-823), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.2478/s11533-013-0385-7 - link to the publication
  15. Degrees of irreducible morphisms in coherent almost cyclic Auslander-Reiten components
    Authors:
    Claudia Chaio, Piotr Malicki, Andrzej Skowroński
    Academic press:
    Journal of Algebra (rok: 2013, tom: 391, strony: 125-151), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2013.06.011 - link to the publication
  16. On selfinjective algebras of tilted type
    Authors:
    Andrzej Skowroński, Kunio Yamagata
    Academic press:
    Colloquium Mathematicum (rok: 2015, tom: 141, strony: 89-117), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm141-1-9 - link to the publication
  17. 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 (rok: 2017, tom: 148, strony: 165-190), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7190-2-2017 - link to the publication
  18. Cycles of modules and finite representation type
    Authors:
    Jerzy Białkowski, Andrzej Skowroński
    Academic press:
    Bulletin of the London Mathematical Society (rok: 2016, tom: 48, strony: 589–600), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/blms/bdw030 - link to the publication
  19. The structure and homological properties of generalized standard Auslander-Reiten components
    Authors:
    Piotr Malicki, Andrzej Skowroński
    Academic press:
    Journal of Algebra (rok: 2019, tom: 518, strony: 14246), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.015 - link to the publication
  20. Algebras of generalized quaternion type
    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Advances in Mathematics (rok: 2019, tom: 349, strony: 1036-1116), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.04.037 - link to the publication
  21. Hochschild cohomology for periodic algebras of polynomial growth
    Authors:
    Jerzy Białkowski, Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2019, tom: 223, strony: 1548-1589), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2018.06.018 - link to the publication
  22. Degrees and compositions of irreducible morphisms in coils
    Authors:
    Claudia Chaio, Piotr Malicki
    Academic press:
    Colloquium Mathematicum (rok: 2019, tom: 155, strony: 45687), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7441-1-2018 - link to the publication
  23. Periodicity of self-injective algebras of polynomial growth
    Authors:
    Jerzy Białkowski, Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebra (rok: 2015, tom: 443, strony: 200-269), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.05.033 - link to the publication
  24. On stable equivalence of tensor products of algebras
    Authors:
    Karolina Mroczyńska, Zygmunt Pogorzały
    Academic press:
    Communications in Algebra (rok: 2015, tom: 43(3), strony: 916-934), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2013.852007 - link to the publication
  25. 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 (rok: 2014, tom: 12 (1), strony: 39-45), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.2478/s11533-013-0328-3 - link to the publication
  26. On self-injective algebras of finite representation type
    Authors:
    Marta Błaszkiewicz, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (rok: 2012, tom: 127, strony: 111-126), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm127-1-8 - link to the publication
  27. On domestic algebras of semiregular type
    Authors:
    Alicja Jaworska-Pastuszak, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (rok: 2013, tom: 132, strony: 271-294), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm132-2-7 - link to the publication
  28. 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 (rok: 2015, tom: 367, strony: 5475–5505), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/S0002-9947-2014-06206-5 - link to the publication
  29. A characterization of cycle-finite generalized double tilted algebras
    Authors:
    Adam Skowyrski
    Academic press:
    Journal of Algebra (rok: 2014, tom: 416, strony: 45681), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2014.06.006 - link to the publication
  30. The representation dimension of a selfinjective algebra of wild tilted type
    Authors:
    Ibrahim Assem, Andrzej Skowroński, Sonia Trepode
    Academic press:
    Journal of Algebra (rok: 2017, tom: 477, strony: 163–194), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2016.12.010 - link to the publication
  31. Selfinjective algebras without short cycles of indecomposable modules
    Authors:
    Alicja Jaworska-Pastuszak, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2018, tom: 222, strony: 3432-3447), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2017.12.016 - link to the publication
  32. Deformed preprojective algebras of Dynkin type E6
    Authors:
    Jerzy Białkowski
    Academic press:
    Communications in Algebra (rok: 2019, tom: 47, strony: 1568-1577), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/00927872.2018.1508585 - link to the publication
  33. Varieties of invariant subspaces given by Littlewood-Richardson tableaux
    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Oberwolfach Preprints (rok: 2014, tom: OWP 2014 - 01, strony: 12055), Wydawca: Mathematisches Forschungsinstitut Oberwolfach gGmbH
    Status:
    Published
    DOI:
    ISSN - link to the publication
  34. Algebras of generalized dihedral type
    Authors:
    Karin Erdmann, Andrzej Skowroński
    Academic press:
    Nagoya Mathematical Journal (rok: 2019, tom: Online, strony: 56 stron), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1017/nmj.2019.1 - link to the publication
  35. Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one
    Authors:
    Adam Skowyrski
    Academic press:
    Colloquium Mathematicum (rok: 2013, tom: 132, strony: 239-270), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm132-2-6 - link to the publication
  36. A note on quasi-tilted algebras
    Authors:
    Andrzej Skowroński, Adam Skowyrski
    Academic press:
    Colloquium Mathematicum (rok: 2014, tom: 134, strony: 281-286), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm134-2-11 - link to the publication
  37. The boundary of the irreducible components for invariant subspace varieties
    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Academic press:
    Mathematishe Zeitschrift (rok: 2018, tom: 290, strony: 953-972), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1007/s00209-018-2047-8 - link to the publication
  38. Periodicity of self-injective algebras of polynomial growth
    Authors:
    Jerzy Białkowski, Karin Erdmann, Andrzej Skowroński
    Academic press:
    Journal of Algebra (), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2015.05.033 - link to the publication
  39. The representation dimension of a sefinjective algebra of Euclidean type
    Authors:
    Ibrahim Assem, Andrzej Skowroński, Sonia Trepode
    Academic press:
    Journal of Algebra (rok: 2016, tom: 459, strony: 157–188), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2016.03.033 - link to the publication
  40. 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 (rok: 2016, tom: 220, strony: 2985–2999), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2016.01.014 - link to the publication
  41. On the support algebras of indecomposable modules over tame algebras of polynomial growth
    Authors:
    Adam Hajduk
    Academic press:
    Journal of Algebra (rok: 2017, tom: 473, strony: 110-131), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.037 - link to the publication
  42. The Krull-Gabriel Dimension of Cycle-Finite Artin Algebras
    Authors:
    Andrzej Skowroński
    Academic press:
    Algebras and Representation Theoreory (rok: 2016, tom: 19, strony: 215–233), Wydawca: Springer-Verlag
    Status:
    Published
    DOI:
    10.1007/s10468-015-9571-6 - link to the publication
  43. Socle deformed preprojective algebras of generalized Dynkin type
    Authors:
    Jerzy Białkowski
    Academic press:
    Colloquium Mathematicum (rok: 2019, tom: 156, strony: 165-198), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm7527-5-2018 - link to the publication
  44. On Krull-Gabriel dimension and Galois coverings
    Authors:
    Grzegorz Pastuszak
    Academic press:
    Advances of Mathematics (rok: 2019, tom: 349, strony: 959-991), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.aim.2019.04.035 - link to the publication
  45. On selfinjective algebras of finite representation type with maximal almost split sequences
    Authors:
    Marta Błaszkiewicz, Andrzej Skowroński
    Academic press:
    Journal of Algebra (rok: 2015, tom: 422, strony: 450–486), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jalgebra.2014.09.018 - link to the publication
  46. Finite cycles of indecomposable modules
    Authors:
    Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
    Academic press:
    Journal of Pure and Applied Algebra (rok: 2015, tom: 219, strony: 1761–1799), Wydawca: Elsevier Inc.
    Status:
    Published
    DOI:
    10.1016/j.jpaa.2014.07.011 - link to the publication
  47. Domestic generalized multicoil enlargements of concealed canonical algebras
    Authors:
    Piotr Malicki
    Academic press:
    Journal of Algebra and Its Applications (rok: 2014, tom: 13, strony: 10 stron), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0219498813501053 - link to the publication
  48. Derived equivalence classification of weakly symmetric algebras of domestic type
    Authors:
    Rafał Bocian, Andrzej Skowroński
    Academic press:
    Colloquium Mathematicum (rok: 2016, tom: 142, strony: 115-133), Wydawca: Instytut Matematyczny PAN
    Status:
    Published
    DOI:
    10.4064/cm142-1-6 - link to the publication
  1. Arc diagram varieties
    Authors:
    Justyna Kosakowska, Markus Schmidmeier
    Conference:
    Expository lectures on representation theory (rok: 2014, ), Wydawca: American Mathematical Society
    Data:
    konferencja 41000
    Status:
    Published
  2. Auslander–Reiten Theory for Finite-Dimensional Algebras
    Authors:
    Piotr Malicki
    Conference:
    Homological Methods, Representation Theory, and Cluster Algebras (rok: 2018, ), Wydawca: CRM Short Courses, Springer International Publishing
    Data:
    konferencja March 7-18, 2016
    Status:
    Published
    DOI:
    link to the publication
  3. Cycle-finite module categories
    Authors:
    Piotr Malicki, José Antonio de la Peña, Andrzej Skowroński
    Conference:
    Algebras, Quivers and Representations, Abel Symposia 8 (rok: 2013, ), Wydawca: Springer-Verlag
    Data:
    konferencja 40695
    Status:
    Published
    DOI:
    link to the publication
  1. Frobenius Algebras. II. Tilted and Hochschild Extension Algebras
    Authors:
    Andrzej Skowroński, Kunio Yamagata
    Book:
    Frobenius Algebras. II. Tilted and Hochschild Extension Algebras (rok: 2017, tom: II, strony: x+619 pp.), Wydawca: EMS Textbooks in Mathematics, European Mathematical Society (EMS)
    Status:
    Published

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