Hochschild cohomology and quantum Drinfeld Hecke algebras

Details Hochschild cohomology and quantum Drinfeld Hecke algebras Hochschild cohomology and quantum Drinfeld Hecke algebras

2011-11-22

arxiv.org/abs/1111.5243v1

Mathematics

Rings and Algebras

22 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Hochschild cohomology and quantum Drinfeld Hecke algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hochschild cohomology and quantum Drinfeld Hecke algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hochschild cohomology and quantum Drinfeld Hecke algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-553725