Nilpotent representations of classical quantum groups at roots of unity
Quantum Algebra
2009-11-10 v2 Representation Theory
Abstract
Properly specializing the parameters in ``Schnizer modules'', for type A,B,C and D, we get its unique primitive vector. Then we show that the module generated by the primitive vector is an irreducible highest weight module of finite dimensional classical quantum groups at roots of unity.
Cite
@article{arxiv.math/0411401,
title = {Nilpotent representations of classical quantum groups at roots of unity},
author = {Yuuki Abe and Toshiki Nakashima},
journal= {arXiv preprint arXiv:math/0411401},
year = {2009}
}
Comments
29 pages, new section added and some proof revised