Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584356 | Journal of Algebra | 2015 | 40 Pages |
Abstract
Given a Hopf algebra H and a projection H→AH→A to a Hopf subalgebra, we construct a Hopf algebra r(H)r(H), called the partial dualization of H, with a projection to the Hopf algebra dual to A. This construction provides powerful techniques in the general setting of braided monoidal categories. The construction comprises in particular the reflections of generalized quantum groups [9]. We prove a braided equivalence between the Yetter–Drinfel'd modules over a Hopf algebra and its partial dualization.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Barvels, Simon Lentner, Christoph Schweigert,