H2N2V1, Istex, Corpus, bibRecord, 000236

Some Computations of Frobenius–Schur Indicators of the Regular Representations of Hopf Algebras

Identifieur interne : 000236 ( Istex/Corpus ); précédent : 000235; suivant : 000237

Some Computations of Frobenius–Schur Indicators of the Regular Representations of Hopf Algebras

Auteurs : Kenichi Shimizu

Source :

Algebras and Representation Theory [ 1386-923X ] ; 2012-04-01.

RBID : ISTEX:62E7D7D537F90AFA018AAE38BB8BD73774DCA804

English descriptors

KwdEn :
- Frobenius–Schur indicator, Fusion category, Hopf algebra.

Abstract

Abstract: We study Frobenius–Schur indicators of the regular representations of finite-dimensional semisimple Hopf algebras, especially group-theoretical ones. Those of various Hopf algebras are computed explicitly. In view of our computational results, we formulate the theorem of Frobenius for semisimple Hopf algebras and give some partial results on this problem.

Url:

https://api.istex.fr/ark:/67375/VQC-H0C1DRR0-C/fulltext.pdf

DOI: 10.1007/s10468-010-9243-5

Links to Exploration step

ISTEX:62E7D7D537F90AFA018AAE38BB8BD73774DCA804

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Some Computations of Frobenius–Schur Indicators of the Regular Representations of Hopf Algebras

Some Computations of Frobenius–Schur Indicators of the Regular Representations of Hopf Algebras

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