Finite groups with the same character tables, Drinfel'd algebras and Galois algebras
Representation Theory
2007-05-23 v1 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.math/0001119,
title = {Finite groups with the same character tables, Drinfel'd algebras and Galois algebras},
author = {A. Davydov},
journal= {arXiv preprint arXiv:math/0001119},
year = {2007}
}