ROBERT LAUGWITZ ROBERT.LAUGWITZ@NOTTINGHAM.AC.UK
Assistant Professor
Braided Drinfeld and Heisenberg doubles
Laugwitz, Robert
Authors
Abstract
© 2015 Elsevier B.V. In this paper, the Drinfeld center of a monoidal category is generalized to a class of mixed Drinfeld centers. This gives a unified picture for the Drinfeld center and a natural Heisenberg analogue. Further, there is an action of the former on the latter. This picture is translated to a description in terms of Yetter-Drinfeld and Hopf modules over quasi-bialgebras in a braided monoidal category. Via braided reconstruction theory, intrinsic definitions of braided Drinfeld and Heisenberg doubles are obtained, together with a generalization of the result of Lu [22] that the Heisenberg double is a 2-cocycle twist of the Drinfeld double for general braided Hopf algebras.
Journal Article Type | Article |
---|---|
Acceptance Date | Feb 11, 2015 |
Online Publication Date | Mar 13, 2015 |
Publication Date | 2015-10 |
Deposit Date | Nov 28, 2019 |
Publicly Available Date | Jan 20, 2020 |
Journal | Journal of Pure and Applied Algebra |
Print ISSN | 0022-4049 |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 219 |
Issue | 10 |
Pages | 4541-4596 |
DOI | https://doi.org/10.1016/j.jpaa.2015.02.031 |
Public URL | https://nottingham-repository.worktribe.com/output/3440562 |
Additional Information | This article is maintained by: Elsevier; Article Title: Braided Drinfeld and Heisenberg doubles; Journal Title: Journal of Pure and Applied Algebra; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.jpaa.2015.02.031; Content Type: article; Copyright: Copyright © 2015 Elsevier B.V. All rights reserved. |
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