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

Boucif Abdesselam

doi:10.1088/0305-4470/29/6/008

paper

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

arXiv:q-alg/9509016 · doi:10.1088/0305-4470/29/6/008

Abstract

We show how to adapt the Gelfand-Zetlin basis for describing the atypical representation of $U_{q} (s l (N))$ when $q$ is root of unity. The explicit construction of atypical representation is presented in details for $N = 3$ .

18 pages, Tex-file and 2 figures. Uuencoded, compressed and tared archive of plain tex file and postscript figure file. Upon uudecoding, uncompressing and taring, tex the file atypique.tex

Cited by in corpus (1)

Non integrable representations of the restricted quantum analogue of sl(3) at roots of 1

Atypical Representations of Uq​(sl(N)) at Roots of Unity

Abstract

Cited by in corpus (1)

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