Geodesic
The Representation Ring of the Twisted Quantum Double of a Finite Group
Canadian journal of mathematics, Tome 48 (1996) no. 6, pp. 1324-1338

Voir la notice de l'article provenant de la source Cambridge University Press

We provide an isomorphism between the Grothendieck ring of modules of the twisted quantum double of a finite group, and a product of centres of twisted group algebras of centralizer subgroups. It follows that this Grothendieck ring is semisimple. Another consequence is a formula for the characters of this ring in terms of representations of twisted group algebras of centralizer subgroups.
DOI : 10.4153/CJM-1996-070-6
Mots-clés : 16G30, 16S35, 16W30, 20C25, finite group, Hopf algebra, quasi-Hopf algebra, quantum double, representation ring, Grothendieck ring, twisted group algebra 
Witherspoon, S. J. The Representation Ring of the Twisted Quantum Double of a Finite Group. Canadian journal of mathematics, Tome 48 (1996) no. 6, pp. 1324-1338. doi: 10.4153/CJM-1996-070-6
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