JournalsprimsVol. 26, No. 4pp. 667–679

Construction of Gelfand-Tsetlin Basis for <i>U<sub>q</sub></i>(<i>gl</i>(<i>N</i>+l))-modules

  • Kimio Ueno

    Waseda University, Tokyo, Japan

  • Tadayoshi Takebayashi

    Waseda University, Tokyo, Japan

  • Youichi Shibukawa

    Hokkaido University, Sapporo, Japan
Construction of Gelfand-Tsetlin Basis for <i>U<sub>q</sub></i>(<i>gl</i>(<i>N</i>+l))-modules cover
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Abstract

The Gelfand-Tsetlin basis for irreducible Uq(gl(N+l))-modules of finite dimensions is constructed by means of the lowering operators.

Cite this article

Kimio Ueno, Tadayoshi Takebayashi, Youichi Shibukawa, Construction of Gelfand-Tsetlin Basis for <i>U<sub>q</sub></i>(<i>gl</i>(<i>N</i>+l))-modules. Publ. Res. Inst. Math. Sci. 26 (1990), no. 4, pp. 667–679

DOI 10.2977/PRIMS/1195170852