PBW deformations of skew group algebras in positive characteristic.

DOI10.1007/s10468-014-9492-9zbMath1334.16031arXiv1312.3616OpenAlexW1974166347MaRDI QIDQ2352043

Anne V. Shepler, Sarah Witherspoon

Publication date: 29 June 2015

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3616

zbMATH Keywords

Hochschild cohomologymodular representationsskew group algebrasPoincaré-Birkhoff-Witt deformationsDrinfeld Hecke algebrasgraded affine Hecke algebrasDrinfeld-type deformations

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Modular representations and characters (20C20) Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35)

Related Items

Gerstenhaber brackets for skew group algebras in positive characteristic, Drinfeld Hecke algebras for symmetric groups in positive characteristic, Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property, Deformation cohomology for cyclic groups acting on polynomial rings, Symplectic reflection algebras in positive characteristic as Ore extensions, PBW deformations of Koszul algebras over a nonsemisimple ring., PBW deformations of a Fomin-Kirillov algebra and other examples, Group-twisted Alexander-Whitney and Eilenberg-Zilber maps

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