Atypical Representations of $U_{q}(sl(N))$ at Roots of Unity

Details Atypical Representations of $U_{q}(sl(N))$ at Roots of Unity Atypical Representations of $U_{q}(sl(N))$ at Roots of Unity

1995-09-13

arxiv.org/abs/q-alg/9509016v1

J.Phys.A29:1201-1214,1996

Mathematics

Quantum Algebra

18 pages, Tex-file and 2 figures. Uuencoded, compressed and tared archive of plain tex file and postscript figure file. Upon u

Scientific paper

10.1088/0305-4470/29/6/008

We show how to adapt the Gelfand-Zetlin basis for describing the atypical
representation of ${\cal U}_{\displaystyle{q}}(sl(N))$ when $q$ is root of
unity. The explicit construction of atypical representation is presented in
details for $N=3$.

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