Coset decomposition for semisimple Hopf algebras

Details Coset decomposition for semisimple Hopf algebras Coset decomposition for semisimple Hopf algebras

2007-12-11

arxiv.org/abs/0712.1719v1

Mathematics

Rings and Algebras

15 pages

Scientific paper

The notion of double coset for semisimple finite dimensional Hopf algebras is
introduced. This is done by considering an equivalence relation on the set of
irreducible characters of the dual Hopf algebra. As an application formulae for
the restriction of the irreducible characters to normal Hopf subalgebras are
given.

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