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A note on the generalised Lie algebra sl(2)q

Daniel Arnaudon
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Abstract

In a recent paper, V. Dobrev and A. Sudbery classified the highest-weight and lowest-weight finite dimensional irreducible representations of the quantum Lie algebra sl(2)_q introduced by V. Lyubashenko and A. Sudbery. The aim of this note is to add to this classification all the finite dimensional irreducible representations which have no highest weight and/or no lowest weight, in the case when q is a root of unity. For this purpose, we give a description of the enlarged centre.

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Daniel Arnaudon. 1998-04-28. A note on the generalised Lie algebra sl(2)q. https://doi.org/10.1088/0305-4470/31/31/011

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