A note on the generalised Lie algebra sl(2)q
Quantum Algebra
2009-10-31 v1
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.
Cite
@article{arxiv.math/9804131,
title = {A note on the generalised Lie algebra sl(2)q},
author = {Daniel Arnaudon},
journal= {arXiv preprint arXiv:math/9804131},
year = {2009}
}
Comments
Latex2e, 7 pages