Kernels of representations of Drinfeld doubles of finite groups

A description of the commutator of a normal subcategory of the fusion category of representation Rep A of a semisimple Hopf algebra A is given. Formulae for the kernels of representations of Drinfeld doubles D ( G ) of finite groups G are presented. It is shown that all these kernels are normal Hopf...

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Veröffentlicht in:	Central European journal of mathematics 2013-11, Vol.11 (11), p.1900-1913
1. Verfasser:	Burciu, Sebastian
Format:	Artikel
Sprache:	eng
Schlagworte:	16W30 18D10 Algebra Commutators Drinfeld doubles of finite groups Fusion subcategories Geometry Group theory Kernels Kernels of representations Lie Groups Mathematics Mathematics and Statistics Normal fusion subcategories Number Theory Probability Theory and Stochastic Processes Representations Research Article Topological Groups
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Zusammenfassung:	A description of the commutator of a normal subcategory of the fusion category of representation Rep A of a semisimple Hopf algebra A is given. Formulae for the kernels of representations of Drinfeld doubles D ( G ) of finite groups G are presented. It is shown that all these kernels are normal Hopf subalgebras.
ISSN:	1895-1074 2391-5455 1644-3616 2391-5455
DOI:	10.2478/s11533-013-0298-5