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Tadayoshi Takebayashi

Waseda University

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Letters in Mathematical Physics | 1989

Gelfand-Zetlin basis for Uq(gl(N+1)) modules

Kimio Ueno; Tadayoshi Takebayashi; Youichi Shibukawa

The Gelfand-Zetlin basis of Uq(gl(N+1)) modules is constructed via the lowering operator method.

Journal of Algebraic Combinatorics: An International Journal archive | 2003

Poincaré Series of the Weyl Groups of the Elliptic Root Systems A 1 (1,1) , A 1 (1,1) * and A 2 (1,1)

Tadayoshi Takebayashi

We calculate the Poincaré series of the elliptic Weyl group W(A2(1,1)), which is the Weyl group of the elliptic root system of type A2(1,1). The generators and relations of W(A2(1,1)) have been already given by K. Saito and the author.

Publications of The Research Institute for Mathematical Sciences | 1997

Extended affine root systems III (elliptic Weyl groups)

Kyoji Saito; Tadayoshi Takebayashi

Publications of The Research Institute for Mathematical Sciences | 1990

Construction of Gelfand-Tsetlin basis for U q gl N+1 -modules

Kimio Ueno; Tadayoshi Takebayashi; Youichi Shibukawa

Archive | 1992

Zonal spherical functions on quantum symmetric spaces and MacDonald's symmetric polynomials

Kimio Ueno; Tadayoshi Takebayashi

Letters in Mathematical Physics | 1989

Gelfand-Zetlin basis for U q ( gl (N+1)) modules

Kimio Ueno; Tadayoshi Takebayashi; Youichi Shibukawa

Journal of Algebra | 2001

The Theta Function Associated to the Elliptic Root System

Tadayoshi Takebayashi

Journal of Algebra | 1994

Defining Relations of Weyl Groups for Extended Affine Root Systems A(1,1)l, B(1,1)l, C(1,1)l, D(1,1)l

Tadayoshi Takebayashi

Journal of Algebra | 2005

Elliptic Artin groups and elliptic Hecke algebras

Tadayoshi Takebayashi

Journal of Algebra | 2004

Defining relations of the elliptic Lie algebra of type A1(1,1)

Tadayoshi Takebayashi

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Kimio Ueno

Waseda University

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Youichi Shibukawa

Hokkaido University

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Kyoji Saito

Research Institute for Mathematical Sciences

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