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Representations of the Generalized Lie Algebra sl(2)_q

V. K. Dobrev·A. Sudbery
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Abstract

We construct finite-dimensional irreducible representations of two quantum algebras related to the generalized Lie algebra $\ssll (2)_q$ introduced by Lyubashenko and the second named author. We consider separately the cases of $q$ generic and $q$ at roots of unity. Some of the representations have no classical analog even for generic $q$. Some of the representations have no analog to the finite-dimensional representations of the quantised enveloping algebra $U_q(sl(2))$, while in those that do there are different matrix elements.

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BibTeXRIS

V. K. Dobrev, A. Sudbery. 1998-03-20. Representations of the Generalized Lie Algebra sl(2)_q. https://doi.org/10.1088/0305-4470/31/31/010

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