Title	On the traces of powers of antipodes
Creator	Ng, Siu-Hung
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-12T11:03
Description	Let $S$ be the antipode of a Hopf algebra $H$. The gauge invariance of Frobenius-Schur indicators implies that the traces of $S$ and $S^2$ are invariants of the finite tensor category Rep($H$). However, the question of whether the traces of all the powers of $S$ are gauge invariants is generally open. An affirmative answer of this question immediately implies the invariance of the order of $S$. In this talk, we will show that they are invariants of Rep($H$) when the Jacobson radical of $H$ is a Hopf ideal. This is a joint work with Cris Negron.
Extent	32 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Louisiana State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-14
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343166
URI	http://hdl.handle.net/2429/60879
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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