arXiv · q-alg/9504006
Representations of U_q(sl(N)) at Roots of Unity
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.
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B. Abdesselam, D. Arnaudon, A. Chakrabarti. 1995-06-21. Representations of U_q(sl(N)) at Roots of Unity. https://doi.org/10.1088/0305-4470%2F28%2F19%2F007
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