Hochschild cohomology and quantum Drinfeld Hecke algebras

Autor:	Naidu, Deepak, Witherspoon, Sarah
Rok vydání:	2011
Předmět:	Mathematics - Rings and Algebras Mathematics - Quantum Algebra 16E40 16S35
Druh dokumentu:	Working Paper
Popis:	Quantum Drinfeld Hecke algebras are generalizations of Drinfeld Hecke algebras in which polynomial rings are replaced by quantum polynomial rings. We identify these algebras as deformations of skew group algebras, giving an explicit connection to Hochschild cohomology. We compute the relevant part of Hochschild cohomology for actions of many reflection groups and we exploit computations from our paper with Shroff for diagonal actions. By combining our work with recent results of Levandovskyy and Shepler, we produce examples of quantum Drinfeld Hecke algebras. These algebras generalize the braided Cherednik algebras of Bazlov and Berenstein. Comment: 22 pages; v2: minor revisions as suggested by the referee
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1111.5243 Zobrazit plný text záznamu View this record from Arxiv