Hochschild Cohomology and the Modular Group
Rings and Algebras
2019-11-12 v1 Quantum Algebra
Representation Theory
Abstract
It has been shown in previous work that the modular group acts projectively on the center of a factorizable ribbon Hopf algebra. The center is the zeroth Hochschild cohomology group. In this article, we extend this projective action of the modular group to an arbitrary Hochschild cohomology group of a factorizable ribbon Hopf algebra, in fact up to homotopy even to a projective action on the entire Hochschild cochain complex.
Keywords
Cite
@article{arxiv.1707.04032,
title = {Hochschild Cohomology and the Modular Group},
author = {Simon Lentner and Svea Nora Mierach and Christoph Schweigert and Yorck Sommerhaeuser},
journal= {arXiv preprint arXiv:1707.04032},
year = {2019}
}
Comments
20 pages, uses tikz-cd package