×

Tanisaki, Toshiyuki

Author ID: tanisaki.toshiyuki Recent zbMATH articles by "Tanisaki, Toshiyuki"
Published as: Tanisaki, Toshiyuki; Tanisaki, T.; Tanisaki, Toshiuki

Publications by Year

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 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

Citations by Year