Kraehmer, U. (2004) Dirac operators on quantum flag manifolds. Letters in Mathematical Physics, 67(1), pp. 49-59. (doi: 10.1023/B:MATH.0000027748.64886.23)
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Publisher's URL: http://dx.doi.org/10.1023/B:MATH.0000027748.64886.23
Abstract
A Dirac operator D on quantized irreducible generalized flag manifolds is defined. This yields a Hilbert space realization of the covariant first-order differential calculi constructed by I. Heckenberger and S. Kolb. All differentials df=i[D,f] are bounded operators. In the simplest case of Podlesacute' quantum sphere one obtains the spectral triple found by L. Dabrowski and A. Sitarz.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Kraehmer, Dr Ulrich |
| Authors: | Kraehmer, U. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Letters in Mathematical Physics |
| ISSN: | 0377-9017 |
| ISSN (Online): | 1573-0530 |
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