Products in Hochschild cohomology and Grothendieck rings of group crossed products.

DOI10.1016/S0001-8708(03)00168-3zbMath1063.16012arXivmath/0212003OpenAlexW2082577586MaRDI QIDQ1826883

Sarah Witherspoon

Publication date: 6 August 2004

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0212003

zbMATH Keywords

group algebrascrossed productsGrothendieck ringsHopf algebrasHochschild cohomology ringsorbifold cohomology rings

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Grothendieck groups, (K)-theory, etc. (16E20) Twisted and skew group rings, crossed products (16S35)

Related Items (15)

On the Grothendieck rings of generalized Drinfeld doubles ⋮ Hochschild-Mitchell cohomology and Galois extensions. ⋮ Hochschild cohomology rings of tame Hecke algebras. ⋮ Nontriviality of the first Hochschild cohomology of some block algebras of finite groups ⋮ The nonvanishing first Hochschild cohomology of twisted finite simple group algebras ⋮ Monoidal categories and the Gerstenhaber bracket in Hochschild cohomology ⋮ Hochschild cohomology of Hecke algebras. ⋮ Crossed Burnside rings and Bouc's construction of Green functors ⋮ Hochschild cohomology and dominant dimension ⋮ Fusion rules of equivariantizations of fusion categories ⋮ Examples of support varieties for Hopf algebras with noncommutative tensor products. ⋮ ORBIFOLD CUP PRODUCTS AND RING STRUCTURES ON HOCHSCHILD COHOMOLOGIES ⋮ On the Grothendieck rings of equivariant fusion categories ⋮ Crossed products as twisted category algebras. ⋮ The Lie algebra structure of the degree one Hochschild cohomology of the blocks of the sporadic Mathieu groups

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