Edit Profile (opens in new tab) Takebayashi, Tadayoshi Co-Author Distance Author ID: 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 Co-Authors 118 single-authored 3 Ueno, Kimio 2 Shibukawa, Youichi 1 Saito, Kyoji all top 5 Serials 79 Far East Journal of Applied Mathematics 13 JP Journal of Algebra, Number Theory and Applications 9 Journal of Algebra 8 Pioneer Journal of Mathematics and Mathematical Sciences 6 Proceedings of the Japan Academy. Series A 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Tokyo Journal of Mathematics 1 Letters in Mathematical Physics 1 Journal of Algebraic Combinatorics all top 5 Fields 94 Nonassociative rings and algebras (17-XX) 52 Group theory and generalizations (20-XX) 40 Associative rings and algebras (16-XX) 17 Number theory (11-XX) 5 Special functions (33-XX) 2 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 Cited by 70 Authors 17 Takebayashi, Tadayoshi 13 Azam, Saeid 5 Shahsanaei, Valiollah 4 Futorny, Vyacheslav M. 3 Dobrev, Vladimir K. 3 Gould, Mark D. 3 Ramirez, Luis Enrique 3 Saito, Kyoji 3 Truini, Piero 3 Ueno, Kimio 3 Zhang, Jian 2 Disch, Jordan 2 Hartwig, Jonas T. 2 Links, Jon Robert 2 Shibukawa, Youichi 2 Soltani, Mohammad Bagher 2 Tomie, Masaya 2 Yamada, Hiroshi 2 Yamane, Hiroyuki 2 Yoshii, Yoji 1 Abe, Takuro 1 Arnaudon, Daniel 1 Ateş, Firat 1 Bernstein, Joseph 1 Bracken, Anthony J. 1 Çevik, Ahmet Sinan 1 Chakrabarti, Amithaba 1 Chen, Jinquan 1 Cho, Sangbum 1 Dijkhuizen, Mathijs S. 1 Dimca, Alexandru 1 Feichtner, Eva Maria 1 Felikson, Anna Aleksandrovna 1 Floris, Paul G. A. 1 Gromov, Nikolai A. 1 Iohara, Kenji 1 Ishibe, Tadashi 1 Karpuz, Eylem Güzel 1 Kato (Shiota), Midori 1 Kekäläinen, Pekka 1 Kharaghani, Zahra 1 Klimyk, Anatoliy Ul’yanovich 1 Koda, Yuya 1 Lawson, John W. 1 Lin, Yanan 1 Man’ko, Vladimir Ivanovich 1 McCammond, Jon 1 Mitov, A. D. 1 Molev, Alexander I. 1 Nazarov, Maxim Leonidovich 1 Neeb, Karl-Hermann 1 Oblomkov, Alexei A. 1 Pan, Feng 1 Parishani, Fatemeh 1 Peng, Liangang 1 Röhrle, Gerhard E. 1 Saito, Yoshihisa 1 Sakamoto, Masahiro 1 Sato, Ryosuke 1 Schwarzman, Ossip 1 Seo, Arim 1 Shapiro, Michael Z. 1 Shiraishi, Yuuki 1 Shoji, Toshiaki 1 Takahashi, Atsushi 1 Tarasov, Vitaly Olegovich 1 Tumarkin, Pavel 1 Wada, Kentaro 1 Yoshii, Daigo 1 Yousofzadeh, Malihe all top 5 Cited in 25 Serials 20 Journal of Algebra 10 Publications of the Research Institute for Mathematical Sciences, Kyoto University 9 Journal of Mathematical Physics 5 Proceedings of the Japan Academy. Series A 3 Communications in Algebra 2 Journal of Algebraic Combinatorics 2 Journal of Algebra and its Applications 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Journal of Functional Analysis 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Acta Applicandae Mathematicae 1 Indagationes Mathematicae. New Series 1 Journal of Lie Theory 1 Transformation Groups 1 Representation Theory 1 Journal of Nonlinear Mathematical Physics 1 Oberwolfach Reports 1 Journal of Topology and Analysis 1 São Paulo Journal of Mathematical Sciences 1 Winter Braids Lecture Notes all top 5 Cited in 20 Fields 55 Nonassociative rings and algebras (17-XX) 34 Group theory and generalizations (20-XX) 11 Quantum theory (81-XX) 6 Associative rings and algebras (16-XX) 6 Special functions (33-XX) 5 Algebraic geometry (14-XX) 4 Commutative algebra (13-XX) 4 Topological groups, Lie groups (22-XX) 3 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year