Quantum automorphism groups of finite quantum groups are classical
Operator Algebras
2015-05-20 v2 Quantum Algebra
Abstract
In a recent paper of Bhowmick, Skalski and So{\l}tan the notion of a quantum group of automorphisms of a finite quantum group was introduced and, for a given finite quantum group G, existence of the universal quantum group acting on G by automorphisms was proved. We show that this universal quantum group is in fact a classical group. The key ingredient of the proof is the use of multiplicative unitary operators, and we include a thorough discussion of this notion in the context of finite quantum groups.
Cite
@article{arxiv.1410.1404,
title = {Quantum automorphism groups of finite quantum groups are classical},
author = {Paweł Kasprzak and Piotr M. Sołtan and Stanisław L. Woronowicz},
journal= {arXiv preprint arXiv:1410.1404},
year = {2015}
}
Comments
Minor typos fixed, reference list updated