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arXiv:math/0001119 [math.RT]AbstractReferencesReviewsResources

Finite groups with the same character tables, Drinfel'd algebras and Galois algebras

A. Davydov

Published 2000-01-22Version 1

We prove that finite groups have the same complex character tables iff the group algebras are twisted forms of each other as Drinfel'd quasi-bialgebras or iff there is non-associative bi-Galois algebra over these groups. The interpretations of class-preserving automorphisms and permutation representations with the same character in terms of Drinfel'd algebras are also given.

Categories: math.RT, math.QA
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