Edit Profile (opens in new tab) Tanisaki, Toshiyuki Co-Author Distance Author ID: tanisaki.toshiyuki Published as: Tanisaki, Toshiyuki; Tanisaki, T.; Tanisaki, Toshiuki more...less Documents Indexed: 52 Publications since 1980, including 1 Book and 4 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Co-Authors: 18 Co-Authors with 23 Joint Publications 344 Co-Co-Authors all top 5 Co-Authors 33 single-authored 11 Kashiwara, Masaki 3 Morita, Yoshiyuki 2 Ariki, Susumu 2 Kamita, Atsushi 2 Nakajima, Hiraku 2 Shinoda, Kenichi 2 Shoji, Toshiaki 1 Gyoja, Akihiko 1 Hashimoto, Mitsuyasu 1 Hibi, Takayuki 1 Hotta, Ryoshi 1 Ikeda, Takeshi 1 Iwahori, Nagayoshi 1 Kang, Seok-Jin 1 Kazuhiko, Koike 1 Koriyama, Akira 1 Kurano, Kazuhiko 1 Marastoni, Corrado 1 Masuda, Mikiya 1 Matsuzawa, Jun-ichi 1 Mizuno, Hirobumi 1 Nakajima, Haruhisa 1 Nakamura, Hiroaki 1 Nakamura, Hiroyuki 1 Nakano, Daniel K. 1 Naruse, Hiroshi 1 Narushima, Hiroshi 1 Okada, Soichi 1 Saito, Yoshihisa 1 Takeuchi, Kiyoshi 1 Terada, Itaru 1 Watanabe, Junzo 1 Watanabe, Kei-ichi 1 Xi, Nanhua all top 5 Serials 3 Hiroshima Mathematical Journal 3 RIMS Kokyuroku 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Journal of Algebra 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Tokyo Journal of Mathematics 2 Sūgaku 2 IMRN. International Mathematics Research Notices 2 Progress in Mathematics 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Inventiones Mathematicae 1 Journal of the Faculty of Science. Section I A 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tôhoku Mathematical Journal. Second Series 1 Tsukuba Journal of Mathematics 1 Differential Geometry and its Applications 1 The Asian Journal of Mathematics 1 Advanced Studies in Pure Mathematics 1 Contemporary Mathematics 1 RIMS Kokyuroku all top 5 Fields 44 Nonassociative rings and algebras (17-XX) 21 Algebraic geometry (14-XX) 17 Group theory and generalizations (20-XX) 14 Topological groups, Lie groups (22-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Associative rings and algebras (16-XX) 4 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Special functions (33-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 606 times in 511 Documents Cited by ▼ Year ▼ \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. Zbl 1136.14009 Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki 187 2008 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020 Kashiwara, Masaki; Tanisaki, Toshiyuki 58 1995 Killing forms, Harish-Chandra isomorphisms, and universal R-matrices for quantum algebras. Zbl 0870.17007 Tanisaki, Toshiyuki 49 1992 Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups. Zbl 0544.14030 Tanisaki, Toshiyuki 47 1982 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015 Kashiwara, Masaki; Tanisaki, Toshiyuki 35 2002 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027 Kashiwara, Masaki; Tanisaki, Toshiyuki 31 1996 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009 Kashiwara, Masaki; Tanisaki, Toshiyuki 23 2000 The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra. Zbl 0611.22008 Kashiwara, M.; Tanisaki, T. 23 1984 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315 Kashiwara, Masaki; Tanisaki, Toshiyuki 19 1998 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra. II: Intersection cohomologies of Schubert varieties. Zbl 0743.17024 Kashiwara, Masaki; Tanisaki, Toshiyuki 17 1990 The Beilinson-Bernstein correspondence for quantized enveloping algebras. Zbl 1082.17010 Tanisaki, Toshiyuki 13 2005 Character formulas of Kazhdan-Lusztig type. Zbl 1063.20052 Tanisaki, Toshiyuki 12 2004 Hodge modules, equivariant \(K\)-theory and Hecke algebras. Zbl 0655.14004 Tanisaki, Toshiyuki 11 1987 Harish-Chandra isomorphisms for quantum algebras. Zbl 0701.17007 Tanisaki, Toshiyuki 10 1990 Modules over quantized coordinate algebras and PBW-bases. Zbl 1378.17031 Tanisaki, Toshiyuki 10 2017 Characteristic varieties of highest weight modules and primitive quotients. Zbl 0703.17002 Tanisaki, Toshiyuki 9 1988 Differential operators on quantized flag manifolds at roots of unity. Zbl 1264.14067 Tanisaki, Toshiyuki 9 2012 Holonomic systems on a flag variety associated to Harish-Chandra modules and representations of a Weyl group. Zbl 0582.22011 Tanisaki, Toshiyuki 6 1985 Highest weight modules associated to parabolic subgroups with commutative unipotent radicals. Zbl 1012.17004 Tanisaki, T. 4 1998 Differential operators on quantized flag manifolds at roots of unity. II. Zbl 1311.14047 Tanisaki, Toshiyuki 4 2014 Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. Zbl 1165.20003 Tanisaki, Toshiyuki; Xi, Nanhua 3 2006 On the realization of orbit closures as support varieties. Zbl 1156.14326 Nakano, Daniel K.; Tanisaki, Toshiyuki 3 2006 Finite dimensional representations of quantum groups. Zbl 0729.17008 Tanisaki, Toshiyuki 3 1991 Universal \(R\)-matrices and the center of the quantum generalized Kac-Moody algebras. Zbl 0889.17013 Kang, Seok-Jin; Tanisaki, Toshiyuki 3 1997 Foldings of root systems and Gabriel’s theorem. Zbl 0466.16024 Tanisaki, Toshiyuki 3 1980 Manin triples and differential operators on quantum groups. Zbl 1301.17015 Tanisaki, Toshiyuki 3 2013 Twisted differential operators and affine Weyl groups. Zbl 0655.22009 Tanisaki, Toshiyuki 2 1987 Hypergeometric systems and Radon transforms for Hermitian symmetric spaces. Zbl 0959.33006 Tanisaki, Toshiyuki 2 2000 Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Zbl 1206.17001 1 2010 Quantum deformations of certain prehomogeneous vector spaces. I. Zbl 0971.17009 Kamita, Atsushi; Morita, Yoshiyuki; Tanisaki, Toshiyuki 1 1998 Representations of semisimple Lie groups and D-modules. Zbl 0695.22007 Tanisaki, Toshiyuki 1 1989 Characters of the negative level highest-weight modules for affine Lie algebras. Zbl 0838.17022 Kashiwara, Masaki; Tanisaki, Toshiyuki 1 1994 Radon transforms for quasi-equivariant \(\mathcal D\)-modules on generalized flag manifolds. Zbl 1037.35040 Marastoni, Corrado; Tanisaki, Toshiyuki 1 2003 Affine open covering of the quantized flag manifolds at roots of unity. Zbl 1490.17023 Tanisaki, Toshiyuki 1 2021 Characters of integrable highest weight modules over a quantum group. Zbl 1458.17010 Tanisaki, Toshiyuki 1 2018 Affine open covering of the quantized flag manifolds at roots of unity. Zbl 1490.17023 Tanisaki, Toshiyuki 1 2021 Characters of integrable highest weight modules over a quantum group. Zbl 1458.17010 Tanisaki, Toshiyuki 1 2018 Modules over quantized coordinate algebras and PBW-bases. Zbl 1378.17031 Tanisaki, Toshiyuki 10 2017 Differential operators on quantized flag manifolds at roots of unity. II. Zbl 1311.14047 Tanisaki, Toshiyuki 4 2014 Manin triples and differential operators on quantum groups. Zbl 1301.17015 Tanisaki, Toshiyuki 3 2013 Differential operators on quantized flag manifolds at roots of unity. Zbl 1264.14067 Tanisaki, Toshiyuki 9 2012 Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Zbl 1206.17001 1 2010 \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. Zbl 1136.14009 Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki 187 2008 Kazhdan-Lusztig basis and a geometric filtration of an affine Hecke algebra. Zbl 1165.20003 Tanisaki, Toshiyuki; Xi, Nanhua 3 2006 On the realization of orbit closures as support varieties. Zbl 1156.14326 Nakano, Daniel K.; Tanisaki, Toshiyuki 3 2006 The Beilinson-Bernstein correspondence for quantized enveloping algebras. Zbl 1082.17010 Tanisaki, Toshiyuki 13 2005 Character formulas of Kazhdan-Lusztig type. Zbl 1063.20052 Tanisaki, Toshiyuki 12 2004 Radon transforms for quasi-equivariant \(\mathcal D\)-modules on generalized flag manifolds. Zbl 1037.35040 Marastoni, Corrado; Tanisaki, Toshiyuki 1 2003 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015 Kashiwara, Masaki; Tanisaki, Toshiyuki 35 2002 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009 Kashiwara, Masaki; Tanisaki, Toshiyuki 23 2000 Hypergeometric systems and Radon transforms for Hermitian symmetric spaces. Zbl 0959.33006 Tanisaki, Toshiyuki 2 2000 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315 Kashiwara, Masaki; Tanisaki, Toshiyuki 19 1998 Highest weight modules associated to parabolic subgroups with commutative unipotent radicals. Zbl 1012.17004 Tanisaki, T. 4 1998 Quantum deformations of certain prehomogeneous vector spaces. I. Zbl 0971.17009 Kamita, Atsushi; Morita, Yoshiyuki; Tanisaki, Toshiyuki 1 1998 Universal \(R\)-matrices and the center of the quantum generalized Kac-Moody algebras. Zbl 0889.17013 Kang, Seok-Jin; Tanisaki, Toshiyuki 3 1997 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027 Kashiwara, Masaki; Tanisaki, Toshiyuki 31 1996 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020 Kashiwara, Masaki; Tanisaki, Toshiyuki 58 1995 Characters of the negative level highest-weight modules for affine Lie algebras. Zbl 0838.17022 Kashiwara, Masaki; Tanisaki, Toshiyuki 1 1994 Killing forms, Harish-Chandra isomorphisms, and universal R-matrices for quantum algebras. Zbl 0870.17007 Tanisaki, Toshiyuki 49 1992 Finite dimensional representations of quantum groups. Zbl 0729.17008 Tanisaki, Toshiyuki 3 1991 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra. II: Intersection cohomologies of Schubert varieties. Zbl 0743.17024 Kashiwara, Masaki; Tanisaki, Toshiyuki 17 1990 Harish-Chandra isomorphisms for quantum algebras. Zbl 0701.17007 Tanisaki, Toshiyuki 10 1990 Representations of semisimple Lie groups and D-modules. Zbl 0695.22007 Tanisaki, Toshiyuki 1 1989 Characteristic varieties of highest weight modules and primitive quotients. Zbl 0703.17002 Tanisaki, Toshiyuki 9 1988 Hodge modules, equivariant \(K\)-theory and Hecke algebras. Zbl 0655.14004 Tanisaki, Toshiyuki 11 1987 Twisted differential operators and affine Weyl groups. Zbl 0655.22009 Tanisaki, Toshiyuki 2 1987 Holonomic systems on a flag variety associated to Harish-Chandra modules and representations of a Weyl group. Zbl 0582.22011 Tanisaki, Toshiyuki 6 1985 The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra. Zbl 0611.22008 Kashiwara, M.; Tanisaki, T. 23 1984 Defining ideals of the closures of the conjugacy classes and representations of the Weyl groups. Zbl 0544.14030 Tanisaki, Toshiyuki 47 1982 Foldings of root systems and Gabriel’s theorem. Zbl 0466.16024 Tanisaki, Toshiyuki 3 1980 all cited Publications top 5 cited Publications all top 5 Cited by 511 Authors 16 Takeuchi, Kiyoshi 11 Tanisaki, Toshiyuki 8 Ginzburg, Victor 8 Scott, Leonard L. 8 Vasserot, Eric 8 Williamson, Geordie 7 Parshall, Brian J. 6 Arakawa, Tomoyuki 6 Brenti, Francesco 6 Dhillon, Gurbir 6 Gorelik, Maria 6 Kashiwara, Masaki 6 Lőrincz, András Cristian 6 Mustaţă, Mircea 6 Varagnolo, Michela 6 Yamane, Hiroyuki 5 Andersen, Henning Haahr 5 Finkelberg, Michael Vladlenovich 5 Lanini, Martina 5 Matsui, Yutaka 5 Perlman, Michael D. 5 Raicu, Claudiu 5 Raskin, Sam 5 Reichelt, Thomas 5 Rhoades, Brendon 5 Walther, Uli 5 Wu, Lei 4 Ardakov, Konstantin 4 Bezrukavnikov, Roman 4 Caldero, Philippe 4 D’Agnolo, Andrea 4 Gaitsgory, Dennis 4 Griffin, Sean T. 4 Ito, Yohei 4 Lusztig, George 4 Nakano, Daniel K. 4 Popa, Mihnea 4 Razumov, Alexander V. 4 Riche, Simon 4 Saito, Takahiro 4 Schnell, Christian 4 Schürmann, Jörg 4 Sevenheck, Christian 4 Shan, Peng 4 Stroppel, Catharina H. 4 Weyman, Jerzy M. 3 Arkhipov, Sergey M. 3 Backelin, Erik 3 Barchini, Leticia 3 Bellamy, Gwyn 3 Božičević, Mladen 3 Braverman, Alexander 3 Castaño Domínguez, Alberto 3 Dirks, Bradley 3 Douglass, J. Matthew 3 Dupré, Nicolas 3 Esterov, Alexander I. 3 Fiebig, Peter 3 Gunningham, Sam 3 Horiguchi, Tatsuya 3 Joseph, Anthony 3 Kac, Victor 3 Kapranov, Mikhail M. 3 Kato, Syu 3 Krämer, Thomas 3 Lerer, Leonardo A. 3 Marietti, Mario 3 Matsubara-Heo, Saiei-Jaeyeong 3 Maxim, Laurentiu G. 3 Naito, Satoshi 3 Nakajima, Hiraku 3 Röhrle, Gerhard E. 3 Schmidt, Tobias 3 Sentinelli, Paolo 3 Su, Changjian 3 Tubbenhauer, Daniel 3 Wadsley, Simon J. 3 Webster, Ben 3 Xi, Nanhua 3 Yakimov, Milen T. 3 Yvonne, Xavier 2 Abe, Hiraku 2 Achar, Pramod N. 2 Agustin Vicente, Marta 2 Aval, Jean-Christophe 2 Batra, Punita 2 Benson, David John 2 Berenstein, Arkady 2 Bergeron, Nantel 2 Boe, Brian Douglas 2 Brundan, Jonathan 2 Budur, Nero 2 Chastkofsky, Leonard 2 Cheng, Shun-Jen 2 Ciappara, Joshua 2 Cline, Edward T. 2 Cluzeau, Thomas 2 Cooper, Bobbe J. 2 Du, Jie 2 Etingof, Pavel Il’ich ...and 411 more Authors all top 5 Cited in 115 Serials 48 Advances in Mathematics 47 Journal of Algebra 20 Duke Mathematical Journal 20 Representation Theory 17 Transactions of the American Mathematical Society 16 Compositio Mathematica 14 Mathematische Zeitschrift 14 Selecta Mathematica. New Series 13 Publications of the Research Institute for Mathematical Sciences, Kyoto University 11 Transformation Groups 10 Communications in Algebra 10 Journal of Pure and Applied Algebra 9 Inventiones Mathematicae 9 Journal of the American Mathematical Society 8 Communications in Mathematical Physics 7 Journal of Algebraic Combinatorics 7 Algebras and Representation Theory 6 Nagoya Mathematical Journal 6 Proceedings of the American Mathematical Society 6 Journal of the European Mathematical Society (JEMS) 5 Journal of Mathematical Physics 5 Annales de l’Institut Fourier 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Annalen 5 Proceedings of the Japan Academy. Series A 5 Tôhoku Mathematical Journal. Second Series 5 Séminaire Lotharingien de Combinatoire 5 Journal of High Energy Physics 4 Publications Mathématiques 4 Journal of Combinatorial Theory. Series A 4 Manuscripta Mathematica 4 Osaka Journal of Mathematics 4 Topology and its Applications 4 European Journal of Combinatorics 4 Advances in Applied Mathematics 4 Annals of Mathematics. Second Series 4 Journal of the Institute of Mathematics of Jussieu 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Beiträge zur Algebra und Geometrie 3 Journal of Functional Analysis 3 Rendiconti del Seminario Matematico della Università di Padova 3 International Journal of Mathematics 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Geometry 3 Journal of Mathematical Sciences (New York) 3 Journal of the Australian Mathematical Society 3 Japanese Journal of Mathematics. 3rd Series 3 Forum of Mathematics, Sigma 2 Israel Journal of Mathematics 2 Glasgow Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Tokyo Journal of Mathematics 2 Journal of Symbolic Computation 2 IMRN. International Mathematics Research Notices 2 Geometry & Topology 2 Annals of Combinatorics 2 Revista Matemática Complutense 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Algebra & Number Theory 2 Journal of Commutative Algebra 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Kyoto Journal of Mathematics 2 European Journal of Mathematics 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Theoretical and Mathematical Physics 1 Arkiv för Matematik 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Journal of the Indian Institute of Science 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Chinese Annals of Mathematics. Series B 1 Discrete & Computational Geometry 1 Revista Matemática Iberoamericana 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 St. Petersburg Mathematical Journal 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Oberwolfach Reports ...and 15 more Serials all top 5 Cited in 34 Fields 219 Algebraic geometry (14-XX) 214 Nonassociative rings and algebras (17-XX) 143 Group theory and generalizations (20-XX) 97 Several complex variables and analytic spaces (32-XX) 90 Associative rings and algebras (16-XX) 65 Combinatorics (05-XX) 54 Topological groups, Lie groups (22-XX) 40 Commutative algebra (13-XX) 34 Quantum theory (81-XX) 21 Category theory; homological algebra (18-XX) 15 Number theory (11-XX) 15 Special functions (33-XX) 15 Algebraic topology (55-XX) 14 Manifolds and cell complexes (57-XX) 12 Partial differential equations (35-XX) 12 Differential geometry (53-XX) 10 \(K\)-theory (19-XX) 10 Global analysis, analysis on manifolds (58-XX) 5 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 4 Integral transforms, operational calculus (44-XX) 4 Convex and discrete geometry (52-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Operator theory (47-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year