Representations of Uq(sl(N)) at Roots of Unity
B. Abdesselam, D. Arnaudon, A. Chakrabarti
Abstract
The Gelfand--Zetlin basis for representations of Uq(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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