CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

A remark on twists and the notion of torsion-free discrete quantum groups

Magnus Goffeng (Institutionen för matematiska vetenskaper, matematik)
Algebras and Representation Theory (1386-923X). Vol. 15 (2012), 5, p. 817-834.
[Artikel, refereegranskad vetenskaplig]

In this paper twists of reduced locally compact quantum groups are studied. Twists of the dual coaction on a reduced crossed product are introduced and the twisted dual coactions are proved to satisfy a type of Takesaki-Takai duality. The twisted Takesaki-Takai duality implies that twists of discrete, torsion-free quantum groups are torsion-free. Cocycle twists of duals of semisimple, compact Lie are studied leading to a locally compact quantum group contained in the Drinfeld-Jimbo algebra which gives a dual notion of Woronowicz deformations for semisimple, compact Lie groups. These cocycle twists are proven to be torsion-free whenever the Lie group is simply connected.

Nyckelord: Locally compact quantum groups, Cocycle twists,Torsion-free quantum groups, Drinfeld–Jimbo algebra

Denna post skapades 2011-02-07. Senast ändrad 2012-10-29.
CPL Pubid: 136596


Läs direkt!

Länk till annan sajt (kan kräva inloggning)

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)


Algebra och geometri

Chalmers infrastruktur