Hochschild cohomology of group extensions of quantum symmetric algebras

DOI10.1090/S0002-9939-2010-10585-3zbMath1259.16011arXiv0911.3696MaRDI QIDQ3003568

Sarah Witherspoon, Deepak Naidu, Piyush Shroff

Publication date: 27 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.3696

zbMATH Keywords

Hochschild cohomologyquantum symmetric algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ordinary and skew polynomial rings and semigroup rings (16S36) Twisted and skew group rings, crossed products (16S35) Ring-theoretic aspects of quantum groups (16T20)

Related Items (8)

On the cohomology of the Weyl algebra, the quantum plane, and the \(q\)-Weyl algebra. ⋮ Deformation cohomology for cyclic groups acting on polynomial rings ⋮ Deformations of quantum symmetric algebras extended by groups. ⋮ Deformations associated with rigid algebras. ⋮ Resolving by a free action linear category and applications to Hochschild-Mitchell (co)homology ⋮ Truncated quantum Drinfeld Hecke algebras and Hochschild cohomology ⋮ Integral calculus on quantum exterior algebras ⋮ Hochschild cohomology and quantum Drinfeld Hecke algebras

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