Change search
ReferencesLink to record
Permanent link

Direct link
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2011 (English)In: Journal of the Australian Mathematical Society, ISSN 1446-7887, E-ISSN 1446-8107, Vol. 90, no 2, 213-220 p.Article in journal (Refereed) Published
Abstract [en]

Twisted K-theory classes over compact Lie groups can be realized as families of Fredholm operators using the representation theory of loop groups. In this paper we show how to deform the Fredholm family in the sense of quantum groups. The family of Dirac-type operators is parametrized by vectors in the adjoint module for a quantum affine algebra and transforms covariantly under a central extension of the algebra.

Place, publisher, year, edition, pages
2011. Vol. 90, no 2, 213-220 p.
Keyword [en]
Dirac operator, quantum affine algebra, K-theory
National Category
Other Mathematics
URN: urn:nbn:se:kth:diva-40681DOI: 10.1017/S1446788711001224ISI: 000293659300006ScopusID: 2-s2.0-80054910893OAI: diva2:443081
QC 20110923Available from: 2011-09-23 Created: 2011-09-20 Last updated: 2011-09-23Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Mickelsson, Jouko
By organisation
Mathematical Physics
In the same journal
Journal of the Australian Mathematical Society
Other Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 21 hits
ReferencesLink to record
Permanent link

Direct link