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

By Boucif Abdesselam
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.
September 13, 1995
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Atypical Representations of $U_{q}(sl(N))$ at Roots of Unity
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