Construction of Gelfand–Tsetlin Basis for -modules

  • Kimio Ueno

    Waseda University, Tokyo, Japan
  • Tadayoshi Takebayashi

    Waseda University, Tokyo, Japan
  • Youichi Shibukawa

    Hokkaido University, Sapporo, Japan

Abstract

The Gelfand-Tsetlin basis for irreducible -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 -modules. Publ. Res. Inst. Math. Sci. 26 (1990), no. 4, pp. 667–679

DOI 10.2977/PRIMS/1195170852