Irreducible representations of the quantum analogue of SU(2)
Quantum Algebra
2007-05-23 v1
Abstract
We give the complete set of irreducible representations of U(SU(2))_q when q is a m-th root of unity. In particular we show that their dimensions are less or equal to m. Some of them are not highest weight representations.
Keywords
Cite
@article{arxiv.math/0304136,
title = {Irreducible representations of the quantum analogue of SU(2)},
author = {Ph. Roche and D. Arnaudon},
journal= {arXiv preprint arXiv:math/0304136},
year = {2007}
}
Comments
9 pages, plain TeX ; due to the renewed interest in quantum groups at roots of unity, we put this paper in the archive