The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups
Quantum Algebra
2017-07-21 v2 K-Theory and Homology
Representation Theory
Abstract
We apply new techniques to Gerstenhaber brackets on the Hochschild cohomology of a skew group algebra formed from a polynomial ring and a finite group (in characteristic 0). We show that the Gerstenhaber brackets can always be expressed in terms of Schouten brackets. We obtain as consequences some conditions under which brackets are always 0, strengthening known results.
Keywords
Cite
@article{arxiv.1511.02533,
title = {The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups},
author = {Cris Negron and Sarah Witherspoon},
journal= {arXiv preprint arXiv:1511.02533},
year = {2017}
}
Comments
26 pages, includes an appendix which was omitted from the published version