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: 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
Principal investigator (from the host institution)
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]
- Laptopy (6 pcs). Cost: 2 361 PLN
Information in the final report
Publication in academic press/journals (58)
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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
-
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)
-
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
-
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
-
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)
-
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