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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/187312We 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 $N=3$.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.texQuantum AlgebraAtypical Representations of $U_{q}(sl(N))$ at Roots of Unitytext