Representations of U_q(sl(N)) at Roots of Unity

Mathematics – Quantum Algebra

Scientific paper

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18 pages, Plain TeX, Macros harvmac.tex and epsf needed 3 figures in a uuencoded tar separate file. Some references are added.

Scientific paper

10.1088/0305-4470/28/19/007

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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