Construction of Gelfand–Tsetlin Basis for $\mathcal U_q(\textit{gl}(N+1))$-modules

Kimio Ueno; Tadayoshi Takebayashi; Youichi Shibukawa

doi:10.2977/prims/1195170852

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

Construction of Gelfand–Tsetlin Basis for $U_{q} (gl (N + 1))$ -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 $\mathcal U_q(\textit{gl}(N+1))$-modules cover$

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Abstract

The Gelfand-Tsetlin basis for irreducible $U_{q} (gl (N + 1))$ -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 $U_{q} (gl (N + 1))$ -modules. Publ. Res. Inst. Math. Sci. 26 (1990), no. 4, pp. 667–679

DOI 10.2977/PRIMS/1195170852