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

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

2000-01-22

arxiv.org/abs/math/0001119v1

Mathematics

Representation Theory

Scientific paper

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.

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