Quantum groups, differential calculi and the eigenvalues of the Laplacian
Quantum Algebra
2016-09-07 v1
Abstract
We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Laplacian, the derivation of a corresponding Hodge decomposition of the calculus of forms, and, for Woronowicz' first calculus, the calculation of the eigenvalues of the Laplacian
Cite
@article{arxiv.math/0111042,
title = {Quantum groups, differential calculi and the eigenvalues of the Laplacian},
author = {J. Kustermans and G. J. Murphy and L. Tuset},
journal= {arXiv preprint arXiv:math/0111042},
year = {2016}
}
Comments
39 pages, LaTeX2e