Radical cube zero weakly symmetric algebras and support varieties.

DOI10.1016/j.jpaa.2010.04.012zbMath1250.16010arXiv1003.2867OpenAlexW2048790457MaRDI QIDQ712194

Øyvind Solberg, Karin Erdmann

Publication date: 28 October 2010

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.2867

zbMATH Keywords

finite-dimensional algebrasfinite representation typetame representation typeKoszul algebrasHochschild cohomology ringssupport varietiesradical cube zero symmetric algebras

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20) Quadratic and Koszul algebras (16S37)

Related Items

Multiserial and special multiserial algebras and their representations, The Ringel dual of the Auslander-Dlab-Ringel algebra, Derived invariance of support varieties, Homological invariants of the arrow removal operation, Brauer configuration algebras: a generalization of Brauer graph algebras, Separable equivalences, finitely generated cohomology and finite tensor categories, The number of two-term tilting complexes over symmetric algebras with radical cube zero, A family of Koszul self-injective algebras with finite Hochschild cohomology., EXT-FINITE MODULES FOR WEAKLY SYMMETRIC ALGEBRAS WITH RADICAL CUBE ZERO, Almost Gentle Algebras and their Trivial Extensions, Finiteness condition (fg) for self-injective Koszul algebras, Algebras with non-periodic bounded modules, Radical cube zero selfinjective algebras of finite complexity., On the Hochschild cohomology of tame Hecke algebras., On \(\ell\)-parabolic Hecke algebras of symmetric groups, Special multiserial algebras, Brauer configuration algebras and more: A survey, Singular equivalence and the (Fg) condition, Hochschild Cohomology of Quiver Algebras Defined by Two Cycles and a Quantum-Like Relation II, Finite generation for Hochschild cohomology of Gorenstein monomial algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite Hochschild cohomology without finite global dimension.
• Periodic resolutions and self-injective algebras of finite type.
• Resolutions over symmetric algebras with radical cube zero.
• Cohomology of twisted tensor products.
• Graded, selfinjective, and Koszul algebras
• The cohomology ring of a monomial algebra.
• Cohomology of finite group schemes over a field
• Translation algebras and their applications.
• Periodic resolutions over exterior algebras.
• Support varieties for selfinjective algebras.
• Note on Products in Ext
• The Cohomology Ring of a Finite Group
• MULTIPLICATIVE STRUCTURES FOR KOSZUL ALGEBRAS
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.
• Support varieties and Hochschild cohomology rings
• Cohomology of finite-dimensional pointed Hopf algebras
• THE HOCHSCHILD COHOMOLOGY RING OF A CLASS OF SPECIAL BISERIAL ALGEBRAS
• Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras