Irreducible representations of the quantum analogue of SU(2)

2003/04/10 by Ph. Roche, D. Arnaudon
Mathematics · #math.QA #msc:81R50 #msc:17B37

paper · pdf

published as Lett. Math. Phys. 17 (1989) 295 · 9 pages, plain TeX ; due to the renewed interest in quantum groups at roots of unity, we put this paper in the archive

arxiv created 2003/04/10 · arxiv updated 2009/11/30

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.

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