Representations of U_q(sl(N)) at Roots of Unity
arXiv:q-alg/9504006 · doi:10.1088/0305-4470/28/19/007
Abstract
The Gelfand--Zetlin basis for representations of $U_q(sl(N))$ is improved to fit better the case when $q$ is a root of unity. The usual $q$-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.
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