Dirac Operators on Quantum Flag Manifolds
Ulrich Kraehmer
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.
Create a lesson
Related papers
On the Mext groups of sVecR and sVecH
Sean Sanford
Hopf Images of Hopf algebra Coactions
Arnab Bhattacharjee
Magma Automorphisms and Quasi-Linear Cycle Sets
Nigel P. Byott, Edgar Jasko
Unitary TQFTs, unitary disk-like n-categories, and higher Hilbert spaces
Greyson Wesley
Affine quantum Schur--Weyl duality
Qiang Fu, Jun Hu
Braided Hopf algebroids and Lie algebroids
Xiao Han