THE HOCHSCHILD COHOMOLOGY RING OF A CLASS OF SPECIAL BISERIAL ALGEBRAS

DOI10.1142/S0219498810003781zbMath1266.16006arXiv0803.1536OpenAlexW2156810290MaRDI QIDQ5305535

Rachel Taillefer, Nicole Snashall

Publication date: 22 March 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1536

zbMATH Keywords

Hochschild cohomology ringsquivers with relationsself-injective algebrasspecial biserial algebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representations of quivers and partially ordered sets (16G20) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (24)

The Gerstenhaber structure on the Hochschild cohomology of a class of special biserial algebras ⋮ Hochschild Cohomology of Quiver Algebras Defined by Two Cycles and a Quantum-Like Relation ⋮ Hochschild (co)homology of Yoneda algebras of reconstruction algebras of type A 1 ⋮ A finite dimensional algebra of the diagram of a knot ⋮ Batalin-Vilkovisky structure on Hochschild cohomology of zigzag algebra of type \(\widetilde{\mathbf{A}}_1\) ⋮ Hochschild cohomology: some applications in representation theory of algebras ⋮ Hochschild cohomology of triangular string algebras and its ring structure. ⋮ Classification of Symmetric Special Biserial Algebras With At Most One Non-Uniserial Indecomposable Projective ⋮ Hochschild cohomology for a class of some self-injective special biserial algebras of rank four. ⋮ Gerstenhaber algebra structure on the Hochschild cohomology of quadratic string algebras ⋮ A family of Koszul self-injective algebras with finite Hochschild cohomology. ⋮ The Hochschild cohomology ring of Möbius algebras. ⋮ Radical cube zero selfinjective algebras of finite complexity. ⋮ On the Hochschild cohomology of tame Hecke algebras. ⋮ Radical cube zero weakly symmetric algebras and support varieties. ⋮ The dimension of the center of a Brauer configuration algebra ⋮ Hochschild cohomology of relation extension algebras ⋮ On Hochschild Cohomology of a Self-injective Special Biserial Algebra Obtained by a Circular Quiver with Double Arrows ⋮ Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution ⋮ Trivial extensions of gentle algebras and Brauer graph algebras. ⋮ Hochschild cohomology of m-cluster tilted algebras of type 𝔸̃ ⋮ Universal deformation rings of string modules over certain class of self-injective special biserial algebras ⋮ Hochschild Cohomology of Quiver Algebras Defined by Two Cycles and a Quantum-Like Relation II ⋮ On Hochschild Cohomology for Selfinjective Special Biserial Algebras

Cites Work

• Finite Hochschild cohomology without finite global dimension.
• Hochschild and ordinary cohomology rings of small categories
• Minimal resolutions of algebras
• Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\)
• Cohomology of finite group schemes over a field
• Support varieties for selfinjective algebras.
• The tame infinitesimal groups of odd characteristic
• Resolutions over Koszul algebras.
• Representation theory of the Drinfeld doubles of a family of Hopf algebras.
• Minimal projective resolutions
• Hochschild cohomology of truncated quiver algebras^*
• On the structure of nonsemisimple Hopf algebras
• The Hochschild cohomology ring of a selfinjective algebra of finite representation type
• Support varieties and Hochschild cohomology rings
• THE HOCHSCHILD COHOMOLOGY RING MODULO NILPOTENCE OF A MONOMIAL ALGEBRA

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