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

Boucif Abdesselam

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

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

q-alg 2008-11-26 v1 Quantum Algebra

Authors: Boucif Abdesselam

View on arXiv ↗ PDF ↗ DOI ↗

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 $N=3$ .

Keywords

atypical representation u_q(sl(n)) root of unity gelfand-zetlin basis quantum algebra

Cite

@article{arxiv.q-alg/9509016,
  title  = {Atypical Representations of $U_{q}(sl(N))$ at Roots of Unity},
  author = {Boucif Abdesselam},
  journal= {arXiv preprint arXiv:q-alg/9509016},
  year   = {2008}
}

Comments

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

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

Abstract

Keywords

Cite

Comments

Related papers