Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
We describe properties of the nonstandard q-deformation of the universal enveloping algebra of the Lie algebra which does not coincide with the Drinfeld--Jimbo quantum algebra . Irreducible representations of this algebras for q a root of unity q^p=1 are given. These representations act on p^N-dimensional linear space (where N is a number of positive roots of the Lie algebra ) and are given by complex parameters.
Keywords
Cite
@article{arxiv.math/9911114,
title = {Nonstandard q-deformation of the universal enveloping algebra $U'({\rm so}_n)$},
author = {A. U. Klimyk},
journal= {arXiv preprint arXiv:math/9911114},
year = {2007}
}
Comments
5 pages, LaTeX