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

Boucif Abdesselam
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Abstract

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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Boucif Abdesselam. 1995-09-13. Atypical Representations of $U_{q}(sl(N))$ at Roots of Unity. https://doi.org/10.1088/0305-4470%2F29%2F6%2F008

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