The character table for a Hopf algebra arising from the Drinfel'd double.
type: Item
instance of: scholarly article
title: The character table for a Hopf algebra arising from the Drinfel'd double.
zbMATH Open document ID: 1035.16031
DOI: 10.1016/S0021-8693(03)00136-4
published in: Journal of Algebra
publication date: 2003-08-13T00:00:00Z
review text: The main result of this paper is the construction of a character table for a Hopf algebra \(H\) with bijective antipode over a field of characteristic zero. This construction involves two natural actions of the Drinfeld double \(D(H)\) on \(H\). When \(H\) is (finite dimensional) semisimple, a formula for the character table is given, generalizing the formulas for character tables of finite groups. The example where \(H\) is the Kac-Paljutkin semisimple Hopf algebra of dimension 8 is studied. Related previous work appears in the author's paper [Bull. Sci. Math. 125, No. 4, 279-296 (2001; Zbl 1007.16030)].
reviewed by: Sonia Natale
Mathematics Subject Classification ID: 16W30
zbMATH DE Number: 1963604
zbMATH Keywords: Hopf algebras
zbMATH Keywords: quantum doubles
zbMATH Keywords: character tables
zbMATH Keywords: Drinfeld doubles
author: Ahmed El Alaoui
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1963604