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FAMILIES OF DIRAC OPERATORS AND QUANTUM AFFINE GROUPS
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
Identifiers
URN: urn:nbn:se:kth:diva-40681DOI: 10.1017/S1446788711001224ISI: 000293659300006Scopus ID: 2-s2.0-80054910893OAI: oai:DiVA.org:kth-40681DiVA: diva2:443081
Note
QC 20110923Available from: 2011-09-23 Created: 2011-09-20 Last updated: 2017-12-08Bibliographically approved

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