Induced representations of quantum kinematical algebras
Quantum Algebra
2011-09-22 v1 Representation Theory
Abstract
We construct the induced representations of the null-plane quantum Poincar\'e and quantum kappa Galilei algebras in (1+1) dimensions. The induction procedure makes use of the concept of module and is based on the existence of a pair of Hopf algebras with a nondegenerate pairing and dual bases.
Cite
@article{arxiv.math/0012227,
title = {Induced representations of quantum kinematical algebras},
author = {O. Arratia and M. A. del Olmo},
journal= {arXiv preprint arXiv:math/0012227},
year = {2011}
}
Comments
8 pages,LaTeX2e, to be published in the Proceedings of XXIII International Colloquium on Group-Theoretical Methods in Physics, Dubna (Russia), 31.07--05.08, 2000