Irreducible representations of the quantum analogue of SU(2)

Ph. Roche (1) , D. Arnaudon (1)

1 CPHT - Centre de Physique Théorique [Palaiseau]

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.

Domaines: Algèbres quantiques [math.QA]

Ph. Roche, D. Arnaudon. Irreducible representations of the quantum analogue of SU(2). Letters in Mathematical Physics, 1989, 17, pp.295. ⟨hal-00125297⟩