Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895979 | Journal of Algebra | 2018 | 21 Pages |
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
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Simon Lentner, Svea Nora Mierach, Christoph Schweigert, Yorck Sommerhäuser,