Representations of U_q(sl(N)) at Roots of Unity
q-alg
2009-10-28 v2 Quantum Algebra
Abstract
The Gelfand--Zetlin basis for representations of is improved to fit better the case when is a root of unity. The usual -deformed representations, as well as the nilpotent, periodic (cyclic), semi-periodic (semi-cyclic) and also some atypical representations are now described with the same formalism.
Keywords
Cite
@article{arxiv.q-alg/9504006,
title = {Representations of U_q(sl(N)) at Roots of Unity},
author = {B. Abdesselam and D. Arnaudon and A. Chakrabarti},
journal= {arXiv preprint arXiv:q-alg/9504006},
year = {2009}
}
Comments
18 pages, Plain TeX, Macros harvmac.tex and epsf needed 3 figures in a uuencoded tar separate file. Some references are added. Also available at http://lapphp0.in2p3.fr/preplapp/psth/uqsln.ps.gz