Dirac Operators on Quantum Flag Manifolds
Quantum Algebra
2007-05-23 v3
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 Podles' quantum sphere one obtains the spectral triple found by L. Dabrowski and A. Sitarz.
Cite
@article{arxiv.math/0305071,
title = {Dirac Operators on Quantum Flag Manifolds},
author = {Ulrich Kraehmer},
journal= {arXiv preprint arXiv:math/0305071},
year = {2007}
}
Comments
10 pages