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Takebayashi, Tadayoshi

Author ID: takebayashi.tadayoshi Recent zbMATH articles by "Takebayashi, Tadayoshi"
Published as: Takebayashi, Tadayoshi
Documents Indexed: 122 Publications since 1989
Co-Authors: 3 Co-Authors with 4 Joint Publications
45 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

17 Publications have been cited 94 times in 71 Documents Cited by Year
Extended affine root systems. III: Elliptic Weyl groups. Zbl 0901.20016
Saito, Kyoji; Takebayashi, Tadayoshi
38
1997
Gelfand-Zetlin basis for \(U_ q(\mathfrak{gl}(\text{\textbf{N}}+\text{\textbf{1}}))\) modules. Zbl 0685.17004
Ueno, Kimio; Takebayashi, Tadayoshi; Shibukawa, Youichi
21
1989
Construction of Gelfand-Tsetlin basis for \({\mathcal U}_ q(gl(N+1))\)- modules. Zbl 0718.17013
Ueno, Kimio; Takebayashi, Tadayoshi; Shibukawa, Youichi
8
1990
Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\). Zbl 0836.20056
Takebayashi, Tadayoshi
5
1994
Poincaré series of the Weyl groups of the elliptic root systems \(A_1^{(1,1)}\), \(A_1^{(1,1)^*}\) and \(A_2^{(1,1)}\). Zbl 1047.20030
Takebayashi, Tadayoshi
5
2003
Double affine Hecke algebras and elliptic Hecke algebras. Zbl 1111.20010
Takebayashi, Tadayoshi
4
2002
Zonal spherical functions on quantum symmetric spaces and Macdonald’s symmetric polynomials. Zbl 0743.33012
Ueno, Kimio; Takebayashi, Tadayoshi
3
1992
On the braid group of the torus \(T^2\). Zbl 1120.20036
Takebayashi, Tadayoshi
1
2006
Relations of the Weyl groups of extended affine root systems \(A_l^{(1,1)}\), \(B_l^{(1,1)}\), \(C_l^{(1,1)}\), \(D_l^{(1,1)}\). Zbl 0964.20502
Takebayashi, Tadayoshi
1
1995
The growth series of the \(n\)-extended affine Weyl group of type \(A_1\). Zbl 1084.20028
Takebayashi, Tadayoshi
1
2005
The theta function associated to the elliptic root system. Zbl 1015.11014
Takebayashi, Tadayoshi
1
2001
Elliptic Artin groups and elliptic Hecke algebras. Zbl 1091.20004
Takebayashi, Tadayoshi
1
2005
Weyl groups of the nonreduced 2-extended affine root systems. Zbl 1156.20312
Takebayashi, Tadayoshi
1
2007
Formulations of elliptic Lie algebra \(\widehat{sl}(2)\) and elliptic Virasoro algebra by vertex operators. Zbl 0902.17015
Takebayashi, Tadayoshi
1
1997
Weyl groups of the simply-laced 3-extended affine root systems. Zbl 1132.17011
Takebayashi, Tadayoshi
1
2007
Weyl groups of the reduced non-simply laced 3-extended affine root systems. Zbl 1147.20310
Takebayashi, Tadayoshi
1
2008
On the defining relations of the simply-laced elliptic Lie algebras. Zbl 1013.17019
Takebayashi, Tadayoshi
1
2001
Weyl groups of the reduced non-simply laced 3-extended affine root systems. Zbl 1147.20310
Takebayashi, Tadayoshi
1
2008
Weyl groups of the nonreduced 2-extended affine root systems. Zbl 1156.20312
Takebayashi, Tadayoshi
1
2007
Weyl groups of the simply-laced 3-extended affine root systems. Zbl 1132.17011
Takebayashi, Tadayoshi
1
2007
On the braid group of the torus \(T^2\). Zbl 1120.20036
Takebayashi, Tadayoshi
1
2006
The growth series of the \(n\)-extended affine Weyl group of type \(A_1\). Zbl 1084.20028
Takebayashi, Tadayoshi
1
2005
Elliptic Artin groups and elliptic Hecke algebras. Zbl 1091.20004
Takebayashi, Tadayoshi
1
2005
Poincaré series of the Weyl groups of the elliptic root systems \(A_1^{(1,1)}\), \(A_1^{(1,1)^*}\) and \(A_2^{(1,1)}\). Zbl 1047.20030
Takebayashi, Tadayoshi
5
2003
Double affine Hecke algebras and elliptic Hecke algebras. Zbl 1111.20010
Takebayashi, Tadayoshi
4
2002
The theta function associated to the elliptic root system. Zbl 1015.11014
Takebayashi, Tadayoshi
1
2001
On the defining relations of the simply-laced elliptic Lie algebras. Zbl 1013.17019
Takebayashi, Tadayoshi
1
2001
Extended affine root systems. III: Elliptic Weyl groups. Zbl 0901.20016
Saito, Kyoji; Takebayashi, Tadayoshi
38
1997
Formulations of elliptic Lie algebra \(\widehat{sl}(2)\) and elliptic Virasoro algebra by vertex operators. Zbl 0902.17015
Takebayashi, Tadayoshi
1
1997
Relations of the Weyl groups of extended affine root systems \(A_l^{(1,1)}\), \(B_l^{(1,1)}\), \(C_l^{(1,1)}\), \(D_l^{(1,1)}\). Zbl 0964.20502
Takebayashi, Tadayoshi
1
1995
Defining relations of Weyl groups for extended affine root systems \(A_ l^{(1,1)}\), \(B_ l^{(1,1)}\), \(C_ l^{(1,1)}\), \(D_ l^{(1,1)}\). Zbl 0836.20056
Takebayashi, Tadayoshi
5
1994
Zonal spherical functions on quantum symmetric spaces and Macdonald’s symmetric polynomials. Zbl 0743.33012
Ueno, Kimio; Takebayashi, Tadayoshi
3
1992
Construction of Gelfand-Tsetlin basis for \({\mathcal U}_ q(gl(N+1))\)- modules. Zbl 0718.17013
Ueno, Kimio; Takebayashi, Tadayoshi; Shibukawa, Youichi
8
1990
Gelfand-Zetlin basis for \(U_ q(\mathfrak{gl}(\text{\textbf{N}}+\text{\textbf{1}}))\) modules. Zbl 0685.17004
Ueno, Kimio; Takebayashi, Tadayoshi; Shibukawa, Youichi
21
1989

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