dc.contributor.author | Neshveyev, Sergey | |
dc.contributor.author | Tuset, Lars | |
dc.date.accessioned | 2011-12-08T09:36:36Z | |
dc.date.available | 2011-12-08T09:36:36Z | |
dc.date.issued | 2010-01-20 | |
dc.identifier.citation | Neshveyev, S., Tuset, L. (2010). The Dirac operator on compact quantum groups. Journal für die reine und angewandte Mathematik, 2010 (641), 1-20. | en_US |
dc.identifier.issn | Online: 1435-5345 | |
dc.identifier.issn | Print: 0075-4102 | |
dc.identifier.uri | https://hdl.handle.net/10642/1003 | |
dc.description.abstract | For the q-deformation Gq, 0 < q < 1, of any simply connected simple
compact Lie group G we construct an equivariant spectral triple which is an isospectral
deformation of that defined by the Dirac operator D on G. Our quantum Dirac operator
Dq is a unitary twist of D considered as an element of UgnClðgÞ. The commutator of Dq
with a regular function on Gq consists of two parts. One is a twist of a classical commutator
and so is automatically bounded. The second is expressed in terms of the commutator of
the associator with an extension of D. We show that in the case of the Drinfeld associator
the latter commutator is also bounded. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Walter de Gruyter | en_US |
dc.relation.ispartofseries | Journal für die reine und angewandte Mathematik;2010 (641) | |
dc.subject | Dirac operators | en_US |
dc.subject | Mathematics | en_US |
dc.subject | Quantum groups | en_US |
dc.subject | Equivariants | en_US |
dc.subject | Drinfeld | en_US |
dc.subject | Algebra | en_US |
dc.subject | VDP::Matematikk og Naturvitenskap: 400::Matematikk: 410::Algebra/algebraisk analyse: 414 | en_US |
dc.title | The Dirac operator on compact quantum groups | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.identifier.doi | http://dx.doi.org/10.1515/CRELLE.2010.026 | |