Quantum automorphism groups of finite quantum groups are classical

Autor:	Kasprzak, Paweł, Sołtan, Piotr M., Woronowicz, Stanisław L.
Rok vydání:	2014
Předmět:	Mathematics - Operator Algebras Mathematics - Quantum Algebra 46L89 16T99 (Primary) 20G42 81R60 (Secondary)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.geomphys.2014.12.006
Popis:	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. Comment: Minor typos fixed, reference list updated
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1410.1404 Zobrazit plný text záznamu View this record from Arxiv