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Kashiwara, Masaki

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Author ID: kashiwara.masaki Recent zbMATH articles by "Kashiwara, Masaki"
Published as: Kashiwara, M.; Kashiwara, Masaki
Homepage: http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Awards: Chern Medal (2018) · Kyoto Prize in Basic Sciences (2018)
Documents Indexed: 255 Publications since 1970, including 24 Books
Biographic References: 4 Publications
all top 5

Co-Authors

64 single-authored
48 Kawai, Takahiro
38 Schapira, Pierre
26 Kang, Seok-Jin
22 Miwa, Tetsuji
14 Kim, Myungho
11 Tanisaki, Toshiyuki
10 Jimbo, Michio
10 Oh, Se-jin
9 Date, Etsuro
8 Oshima, Toshio
6 D’Agnolo, Andrea
6 Nakashima, Toshiki
6 Sato, Mikio
5 Misra, Kailash C.
5 Monteiro Fernandes, Maria Teresa de Lemos
4 Park, Euiyong
4 Vergne, Michèle
3 Brylinski, Jean-Luc
3 Enomoto, Naoya
3 Grantcharov, Dimitar
3 Jung, Ji Hye
3 Nakayashiki, Atsushi
3 Okado, Masato
2 Barlet, Daniel
2 Hotta, Ryoshi
2 Jeong, Kyeonghoon
2 Kimura, Tatsuo
2 Schiffmann, Olivier G.
2 Sjöstrand, Johannes
2 Stapp, Henry P.
2 Vilonen, Kari
1 Akasaka, Tatsuya
1 Aoki, Takashi
1 Benkart, Georgia M.
1 Dubson, Alberto S.
1 Feĭgin, Boris L’vovich
1 Guillemin, Victor W.
1 Guillermou, Stéphane
1 Ivorra, Florian
1 Kahng, Byeong Hoon
1 Kawanaka, Noriaki
1 Kobayashi, Toshiyuki
1 Koike, Kazuhiko
1 Kowata, Atsutaka
1 Lauritzen, Niels
1 Lusztig, George
1 Matsuki, Toshihiko
1 Matsuo, Atsushi
1 Miemietz, Vanessa
1 Minemura, Katsuhiro
1 Mukhin, Evgeny
1 Nishiyama, Kyo
1 Okada, Soichi
1 Okamoto, Kiyosato
1 Petersen, Jens-Ulrik H.
1 Rouquier, Raphaël
1 Saito, Kyoji
1 Saito, Yoshihisa
1 Satake, Ikuo
1 Schmid, Wilfried
1 Shimozono, Mark
1 Shin, Dong-Uy
1 Shinoda, Kenichi
1 Shoji, Toshiaki
1 Stern, Ellen J.
1 Suh, Uhi Rinn
1 Takei, Yoshitsugu
1 Takeyama, Yoshihiro
1 Tanaka, Makoto
1 Terada, Itaru
1 Tsuchioka, Shunsuke
1 Vernge, M.
1 Waschkies, Ingo
1 Yamada, Daisuke
1 Yamada, Hirofumi
1 Yau, Shing-Tung
1 Yung, C. M.
all top 5

Serials

21 Publications of the Research Institute for Mathematical Sciences, Kyoto University
14 Inventiones Mathematicae
13 Duke Mathematical Journal
12 Proceedings of the Japan Academy. Series A
11 Proceedings of the Japan Academy
7 Advances in Mathematics
6 Communications in Mathematical Physics
5 Sūgaku
4 Compositio Mathematica
4 Proceedings of the London Mathematical Society. Third Series
4 Comptes Rendus de l’Académie des Sciences. Série I
4 Selecta Mathematica. New Series
3 Journal of Algebra
3 Journal of the American Mathematical Society
3 IMRN. International Mathematics Research Notices
3 Annals of Mathematics. Second Series
3 Moscow Mathematical Journal
3 Advanced Studies in Pure Mathematics
3 Astérisque
3 Progress in Mathematics
2 Bulletin de la Société Mathématique de France
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Transactions of the American Mathematical Society
2 Mémoires de la Société Mathématique de France. Nouvelle Série
2 Séminaire Équations aux Dérivées Partielles
2 The Asian Journal of Mathematics
2 RIMS Kokyuroku
2 Journal of the European Mathematical Society (JEMS)
2 Journal of the Physical Society of Japan
2 Grundlehren der Mathematischen Wissenschaften
1 International Journal of Modern Physics A
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Arkiv för Matematik
1 Acta Mathematica
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Publications Mathématiques
1 Journal of the Faculty of Science. Section I A
1 Mathematische Annalen
1 European Journal of Combinatorics
1 Physica D
1 Sugaku Expositions
1 L’Enseignement Mathématique. 2e Série
1 Journal of Physics A: Mathematical and General
1 Journal of Algebraic Combinatorics
1 Representation Theory
1 Portugaliae Mathematica. Nova Série
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of the Institute of Mathematics of Jussieu
1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
1 Annals of Mathematics Studies
1 Institut Élie Cartan, Université de Nancy I
1 London Mathematical Society Lecture Note Series
1 Monographies de l’Enseignement Mathématique
1 Translations of Mathematical Monographs
1 Cours Spécialisés (Paris)
1 MSJ Memoirs
1 Progress in Mathematical Physics
1 RIMS Kôkyûroku Bessatsu
1 Japanese Journal of Mathematics. 3rd Series
1 Journal de l’École Polytechnique – Mathématiques
1 Journal of Applied and Computational Topology

Publications by Year

Citations contained in zbMATH

214 Publications have been cited 6,355 times in 3,193 Documents Cited by Year
On crystal bases of the \(q\)-analogue of universal enveloping algebras. Zbl 0739.17005
Kashiwara, M.
445
1991
Sheaves on manifolds. With a short history “Les débuts de la théorie des faisceaux” by Christian Houzel. Zbl 0709.18001
Kashiwara, Masaki; Schapira, Pierre
312
1990
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
289
1973
Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005
Kashiwara, Masaki; Nakashima, Toshiki
201
1994
Crystalizing the q-analogue of universal enveloping algebras. Zbl 0724.17009
Kashiwara, Masaki
177
1990
The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008
Kashiwara, Masaki
167
1993
On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009
Kashiwara, M.; Vergne, M.
165
1978
Categories and sheaves. Zbl 1118.18001
Kashiwara, Masaki; Schapira, Pierre
161
2006
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
147
1992
Kazhdan-Lusztig conjecture and holonomic systems. Zbl 0473.22009
Brylinski, J. L.; Kashiwara, M.
143
1981
Transformation groups for soliton equations. Zbl 0571.35098
Date, Etsuro; Kashiwara, Masaki; Jimbo, Michio; Miwa, Tetsuji
141
1983
Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
141
1981
On crystal bases. Zbl 0851.17014
Kashiwara, Masaki
136
1995
B-functions and holonomic systems. Rationality of roots of B-functions. Zbl 0354.35082
Kashiwara, Masaki
133
1976
On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033
Kashiwara, Masaki; Kawai, Takahiro
103
1981
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
102
1992
Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009
Kashiwara, Masaki
97
1994
The Riemann-Hilbert problem for holonomic systems. Zbl 0566.32023
Kashiwara, Masaki
95
1984
On level-zero representation of quantized affine algebras. Zbl 1033.17017
Kashiwara, Masaki
91
2002
KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
91
1981
Global crystal bases of quantum groups. Zbl 0774.17018
Kashiwara, Masaki
83
1993
Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. Zbl 0571.35100
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
82
1982
Geometric construction of crystal bases. Zbl 0901.17006
Kashiwara, Masaki; Saito, Yoshihisa
79
1997
On the holonomic systems of linear differential equations. II. Zbl 0401.32005
Kashiwara, Masaki
79
1978
Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy. Zbl 0571.35103
Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji
76
1982
Vanishing cycle sheaves and holonomic systems of differential equations. Zbl 0566.32022
Kashiwara, M.
75
1983
Microlocal study of sheaves. Zbl 0589.32019
Kashiwara, Masaki; Schapira, Pierre
69
1985
On the maximally overdetermined system of linear differential equations. I. Zbl 0313.58019
Kashiwara, Masaki
67
1975
Eigenfunctions of invariant differential operators on a symmetric space. Zbl 0377.43012
Kashiwara, M.; Kowata, A.; Minemura, K.; Okamoto, K.; Oshima, T.; Tanaka, M.
65
1978
The invariant holonomic system on a semisimple Lie algebra. Zbl 0538.22013
Hotta, R.; Kashiwara, M.
58
1984
Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011
Akasaka, Tatsuya; Kashiwara, Masaki
57
1997
\(D\)-modules and microlocal calculus. Translated from the Japanese by Mutsumi Saito. Zbl 1017.32012
Kashiwara, Masaki
54
2003
Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski. Zbl 0521.58057
Kashiwara, Masaki
52
1983
Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
49
1994
Systems of differential equations with regular singularities and their boundary value problems. Zbl 0358.35073
Kashiwara, Masaki; Oshima, Toshio
49
1977
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
46
1980
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
45
2000
Micro-hyperbolic systems. Zbl 0413.35049
Kashiwara, M.; Schapira, P.
45
1979
Similarity of crystal bases. Zbl 0874.17028
Kashiwara, Masaki
44
1996
Ind-sheaves. Zbl 0993.32009
Kashiwara, Masaki; Schapira, Pierre
43
2001
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020
Kashiwara, Masaki; Tanisaki, Toshiyuki
43
1995
Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras. Zbl 0571.35104
Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji
42
1983
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017
Kang, Seok-Jin; Kashiwara, Masaki
40
2012
Realizations of crystals. Zbl 1066.17006
Kashiwara, Masaki
38
2003
Deformation quantization modules. Zbl 1260.32001
Kashiwara, Masaki; Schapira, Pierre
37
2012
A study of variation of mixed Hodge structure. Zbl 0621.14007
Kashiwara, Masaki
37
1986
Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001
Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo
37
1986
Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013
Kashiwara, M.; Miwa, T.; Stern, E.
35
1995
The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012
Kashiwara, Masaki; Vergne, Michele
35
1978
Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II. Zbl 0538.35066
Date, Etsuro; Kashiwara, Masaki; Miwa, Tetsuji
34
1981
Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060
Kashiwara, Masaki; Schapira, Pierre
33
1996
Crystalline bases of quantum groups. Edited by Charles Cochet. Zbl 1066.17007
Kashiwara, Masaki
32
2002
Algebraic study of systems of partial differential equations. (Master’s thesis, Tokyo University, December 1970. Translated by Andrea D’Agnolo and Pierre Schneiders. With a foreword by Pierre Schapira). Zbl 0877.35003
Kashiwara, Masaki
32
1995
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015
Kashiwara, Masaki; Tanisaki, Toshiyuki
31
2002
Second-microlocalization and asymptotic expansions. Zbl 0458.46027
Kashiwara, Masaki; Kawai, Takahiro
30
1980
Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki
29
2005
Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066
Kashiwara, Masaki; Kawai, Takahiro
29
1975
Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. Zbl 0492.58021
Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki
27
1981
On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028
Kashiwara, Masaki; Kawai, Takahiro
26
1972
The flag manifold of Kac-Moody Lie algebra. Zbl 0764.17019
Kashiwara, M.
25
1989
Monoidal categorification of cluster algebras. Zbl 06836098
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
24
2018
Quantization of contact manifolds. Zbl 0874.53027
Kashiwara, Masaki
24
1996
Simplicity of heads and socles of tensor products. Zbl 1366.17014
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
23
2015
The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005
Kashiwara, Masaki; Kawai, Takahiro
23
1987
Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306
Kashiwara, Masaki
22
2005
Quiver Hecke superalgebras. Zbl 1360.17018
Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke
21
2016
The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra. Zbl 0611.22008
Kashiwara, M.; Tanisaki, T.
21
1984
Index theorem for a maximally overdetermined system of linear differential equations. Zbl 0305.35073
Kashiwara, Masaki
21
1973
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
20
2015
The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I. Zbl 0538.35065
Kashiwara, Masaki; Miwa, Tetsuji
20
1981
Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012
Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D.
19
2007
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027
Kashiwara, Masaki; Tanisaki, Toshiyuki
19
1996
Microlocalization of rational Cherednik algebras. Zbl 1147.14002
Kashiwara, Masaki; Rouquier, Raphaël
17
2008
Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014
Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M.
17
1996
Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014
Kashiwara, Masaki; Schmid, Wilfried
17
1994
The asymptotic behavior of a variation of polarized Hodge structure. Zbl 0594.14012
Kashiwara, Masaki
17
1985
Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006
Kashiwara, M.; Vergne, M.
17
1979
Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe. Zbl 0369.35061
Kashiwara, Masaki; Schapira, Pierre
17
1978
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux. Zbl 1336.17013
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
16
2014
\(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023
Kashiwara, Masaki
16
2004
Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009
Kashiwara, Masaki; Tanisaki, Toshiyuki
16
2000
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
16
1979
Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin
15
2013
Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010
Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
15
2008
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
14
2018
Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra. II: Intersection cohomologies of Schubert varieties. Zbl 0743.17024
Kashiwara, Masaki; Tanisaki, Toshiyuki
14
1990
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
14
1975
Crystal bases for the quantum queer superalgebra. Zbl 1336.17014
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
13
2015
Kazhdan-Lusztig conjecture for a symmetrizable Kac-Moody Lie algebra. Zbl 0727.17013
Kashiwara, Masaki
13
1990
Representation theory and D-modules on flag varieties. Zbl 0705.22010
Kashiwara, Masaki
13
1989
On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019
Kashiwara, Masaki; Kawai, Takahiro
13
1979
Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010
Kashiwara, Masaki
12
2008
Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315
Kashiwara, Masaki; Tanisaki, Toshiyuki
12
1998
Index theorem for constructible sheaves. Zbl 0568.32017
Kashiwara, Masaki
12
1985
Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108
Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre
11
2012
Abstract crystals for quantum generalized Kac-Moody algebras. Zbl 1130.17008
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki; Shin, Dong-Uy
11
2007
Microlocal study of ind-sheaves. I: Micro-support and regularity. Zbl 1053.35009
Kashiwara, Masaki; Schapira, Pierre
11
2003
Bases cristallines. (Crystal bases). Zbl 0724.17008
Kashiwara, Masaki
11
1990
Introduction to microlocal analysis. Zbl 0632.58030
Kashiwara, Masaki
11
1986
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
10
2016
Monoidal categorification and quantum affine algebras. Zbl 07206132
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
1
2020
Monoidal categories of modules over quantum affine algebras of type \(A\) and \(B\). Zbl 07015002
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin
3
2019
Laurent phenomenon and simple modules of quiver Hecke algebras. Zbl 07118443
Kashiwara, Masaki; Kim, Myungho
2
2019
Categorical relations between Langlands dual quantum affine algebras: doubly laced types. Zbl 07082926
Kashiwara, Masaki; Oh, Se-jin
2
2019
Enhanced perversities. Zbl 1423.32015
D’Agnolo, Andrea; Kashiwara, Masaki
2
2019
Monoidal categorification of cluster algebras. Zbl 06836098
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
24
2018
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
14
2018
Affinizations and R-matrices for quiver Hecke algebras. Zbl 06873474
Kashiwara, Masaki; Park, Euiyong
4
2018
Monoidal categories associated with strata of flag manifolds. Zbl 1437.17005
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong
4
2018
Persistent homology and microlocal sheaf theory. Zbl 1423.55013
Kashiwara, Masaki; Schapira, Pierre
3
2018
A microlocal approach to the enhanced Fourier-Sato transform in dimension one. Zbl 1410.32007
D’Agnolo, Andrea; Kashiwara, Masaki
3
2018
Quiver Hecke superalgebras. Zbl 1360.17018
Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke
21
2016
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
10
2016
Regular and irregular holonomic D-modules. Zbl 1354.32008
Kashiwara, Masaki; Schapira, Pierre
7
2016
Irregular holonomic kernels and Laplace transform. Zbl 1337.32020
Kashiwara, Masaki; Schapira, Pierre
7
2016
Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. Zbl 1351.32017
D’Agnolo, Andrea; Kashiwara, Masaki
6
2016
Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules. Zbl 1351.32001
Kashiwara, Masaki
4
2016
Simplicity of heads and socles of tensor products. Zbl 1366.17014
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
23
2015
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
20
2015
Crystal bases for the quantum queer superalgebra. Zbl 1336.17014
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
13
2015
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. III. Zbl 1322.81056
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
7
2015
Dual perfect bases and dual perfect graphs. Zbl 1383.17008
Kahng, Byeong Hoon; Kang, Seok-Jin; Kashiwara, Masaki; Suh, Uhi Rinn
2
2015
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux. Zbl 1336.17013
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
16
2014
Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007
Kashiwara, Masaki; Vilonen, Kari
4
2014
Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin
15
2013
Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data. Zbl 1281.14011
Kang, Seok-Jin; Kashiwara, Masaki; Park, Euiyong
2
2013
Categorification of highest weight modules over quantum generalized Kac-Moody algebras. Zbl 1290.05158
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-Jin
1
2013
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017
Kang, Seok-Jin; Kashiwara, Masaki
40
2012
Deformation quantization modules. Zbl 1260.32001
Kashiwara, Masaki; Schapira, Pierre
37
2012
Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108
Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre
11
2012
Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras. Zbl 1252.05220
Kashiwara, Masaki
8
2012
Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. Zbl 1287.17032
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
4
2012
Notes on parameters of quiver Hecke algebras. Zbl 1257.20005
Kashiwara, Masaki
3
2012
On a reconstruction theorem for holonomic systems. Zbl 1266.32012
D’Agnolo, Andrea; Kashiwara, Masaki
1
2012
On quantization of complex symplectic manifolds. Zbl 1252.53098
D’Agnolo, Andrea; Kashiwara, Masaki
3
2011
Quantum queer superalgebra and crystal bases. Zbl 1237.17018
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
9
2010
Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006
Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
9
2010
On the codimension-three conjecture. Zbl 1225.32018
Kashiwara, Masaki; Vilonen, Kari
2
2010
Equivariant \(K\)-theory of affine flag manifolds and affine Grothendieck polynomials. Zbl 1173.19004
Kashiwara, Masaki; Shimozono, Mark
9
2009
Geometric construction of crystal bases for quantum generalized Kac-Moody algebras. Zbl 1234.17009
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
6
2009
Modules over deformation quantization algebroids: An overview. Zbl 1196.53054
Kashiwara, Masaki; Schapira, Pierre
3
2009
Microlocalization of rational Cherednik algebras. Zbl 1147.14002
Kashiwara, Masaki; Rouquier, Raphaël
17
2008
Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010
Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
15
2008
Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010
Kashiwara, Masaki
12
2008
Constructibility and duality for simple holonomic modules on complex symplectic manifolds. Zbl 1142.53071
Kashiwara, Masaki; Schapira, Pierre
8
2008
Symmetric crystals for \(\mathfrak{gl}_{\infty}\). Zbl 1168.17008
Enomoto, Naoya; Kashiwara, Masaki
7
2008
Symmetric crystals and LLTA type conjectures for the affine Hecke algebras of type \(B\). Zbl 1152.20004
Enomoto, Naoya; Kashiwara, Masaki
2
2008
Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012
Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D.
19
2007
Abstract crystals for quantum generalized Kac-Moody algebras. Zbl 1130.17008
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki; Shin, Dong-Uy
11
2007
Crystals and affine Hecke algebras of type D. Zbl 1206.17014
Kashiwara, Masaki; Miemietz, Vanessa
6
2007
Categories and sheaves. Zbl 1118.18001
Kashiwara, Masaki; Schapira, Pierre
161
2006
Symmetric crystals and affine Hecke algebras of type \(B\). Zbl 1130.20008
Kashiwara, Masaki; Enomoto, Naoya
7
2006
Microlocalization of ind-sheaves. Zbl 1098.35008
Kashiwara, M.; Schapira, P.; Ivorra, F.; Waschkies, I.
2
2006
Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki
29
2005
Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306
Kashiwara, Masaki
22
2005
\(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023
Kashiwara, Masaki
16
2004
A functional model for the tensor product of level \(1\) highest and level \(-1\) lowest modules for the quantum affine algebra \(U_q(\widetilde{\mathfrak{sl}}_2)\). Zbl 1106.17016
Feigin, B.; Jimbo, M.; Kashiwara, M.; Miwa, T.; Mukhin, E.; Takeyama, Y.
3
2004
\(D\)-modules and microlocal calculus. Translated from the Japanese by Mutsumi Saito. Zbl 1017.32012
Kashiwara, Masaki
54
2003
Realizations of crystals. Zbl 1066.17006
Kashiwara, Masaki
38
2003
Microlocal study of ind-sheaves. I: Micro-support and regularity. Zbl 1053.35009
Kashiwara, Masaki; Schapira, Pierre
11
2003
Involutivity of truncated microsupports. Zbl 1035.35003
Kashiwara, Masaki; Monteiro Fernandes, Teresa; Schapira, Pierre
2
2003
Truncated microsupport and holomorphic solutions of \(D\)-modules. Zbl 1044.32003
Kashiwara, Masaki; Monteiro Fernandes, Teresa; Schapira, Pierre
1
2003
On level-zero representation of quantized affine algebras. Zbl 1033.17017
Kashiwara, Masaki
91
2002
Crystalline bases of quantum groups. Edited by Charles Cochet. Zbl 1066.17007
Kashiwara, Masaki
32
2002
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015
Kashiwara, Masaki; Tanisaki, Toshiyuki
31
2002
Local cohomology and \(\mathcal D\)-affinity in positive characteristic. Zbl 1016.14009
Kashiwara, Masaki; Lauritzen, Niels
8
2002
Ind-sheaves. Zbl 0993.32009
Kashiwara, Masaki; Schapira, Pierre
43
2001
Micro-support and Cauchy problem for temperate solutions of regular \({\mathcal D}\)-modules. Zbl 1038.35006
Fernandes, T. M.; Kashiwara, M.; Schapira, P.
2
2001
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
45
2000
Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009
Kashiwara, Masaki; Tanisaki, Toshiyuki
16
2000
Duality of D-modules on flag manifolds. Zbl 1018.22012
Barlet, Daniel; Kashiwara, Masaki
2
2000
Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315
Kashiwara, Masaki; Tanisaki, Toshiyuki
12
1998
Semisimple holonomic \({\mathcal D}\)-modules. Zbl 0935.32009
Kashiwara, Masaki
3
1998
Quantized affine algebras and crystals with core. Zbl 0929.17011
Kang, Seok-Jin; Kashiwara, Masaki
3
1998
Topological field theory, primitive forms and related topics. Proceedings of the 38th Taniguchi symposium, Kyoto, Japan, December 9–13, 1996 and the RIMS symposium with the same title, Kyoto, Japan, December 16–19, 1996. Zbl 0905.00081
Kashiwara, Masaki (ed.); Matsuo, Atsushi (ed.); Saito, Kyoji (ed.); Satake, Ikuo (ed.)
1
1998
Geometric construction of crystal bases. Zbl 0901.17006
Kashiwara, Masaki; Saito, Yoshihisa
79
1997
Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011
Akasaka, Tatsuya; Kashiwara, Masaki
57
1997
Integral transforms with exponential kernels and Laplace transform. Zbl 0888.32004
Kashiwara, Masaki; Schapira, Pierre
6
1997
Laplace transform and Fourier-Sato transform. Zbl 0932.32015
Kashiwara, Masaki; Schapira, Pierre
1
1997
Similarity of crystal bases. Zbl 0874.17028
Kashiwara, Masaki
44
1996
Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060
Kashiwara, Masaki; Schapira, Pierre
33
1996
Quantization of contact manifolds. Zbl 0874.53027
Kashiwara, Masaki
24
1996
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027
Kashiwara, Masaki; Tanisaki, Toshiyuki
19
1996
Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014
Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M.
17
1996
On crystal bases. Zbl 0851.17014
Kashiwara, Masaki
136
1995
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020
Kashiwara, Masaki; Tanisaki, Toshiyuki
43
1995
Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013
Kashiwara, M.; Miwa, T.; Stern, E.
35
1995
Algebraic study of systems of partial differential equations. (Master’s thesis, Tokyo University, December 1970. Translated by Andrea D’Agnolo and Pierre Schneiders. With a foreword by Pierre Schapira). Zbl 0877.35003
Kashiwara, Masaki
32
1995
Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005
Kashiwara, Masaki; Nakashima, Toshiki
201
1994
Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009
Kashiwara, Masaki
97
1994
Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
49
1994
Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014
Kashiwara, Masaki; Schmid, Wilfried
17
1994
Characters of the negative level highest-weight modules for affine Lie algebras. Zbl 0838.17022
Kashiwara, Masaki; Tanisaki, Toshiyuki
1
1994
The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008
Kashiwara, Masaki
167
1993
Global crystal bases of quantum groups. Zbl 0774.17018
Kashiwara, Masaki
83
1993
\(D\)-modules and representation theory of Lie groups. Zbl 0823.22013
Kashiwara, Masaki
4
1993
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
147
1992
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
102
1992
Vertex models and crystals. Zbl 0776.17008
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
5
1992
Crystallization of quantized enveloping algebras. Zbl 0797.17011
Kashiwara, Masaki
3
1992
...and 114 more Documents
all top 5

Cited by 2,472 Authors

112 Kashiwara, Masaki
49 Kawai, Takahiro
44 Kang, Seok-Jin
34 Schapira, Pierre
29 Kwon, Jae-Hoon
28 Okado, Masato
27 Scrimshaw, Travis
26 Schilling, Anne
25 Misra, Kailash C.
25 Naito, Satoshi
23 Oh, Se-jin
23 Saito, Morihiko
23 Shin, Dong-Uy
23 Wang, Weiqiang
22 D’Agnolo, Andrea
22 Kim, Jeong-Ah
22 Lecouvey, Cédric
21 Nakashima, Toshiki
21 Oaku, Toshinori
20 Sagaki, Daisuke
19 Kuniba, Atsuo
19 van de Leur, Johan W.
18 Kim, Myungho
18 Takeuchi, Kiyoshi
17 Lee, Hyeonmi
16 Brundan, Jonathan
16 Miwa, Tetsuji
16 Prelli, Luca
15 Chari, Vyjayanthi
15 Kac, Victor G.
15 Leclerc, Bernard
15 Park, Euiyong
15 Takasaki, Kanehisa
15 Tingley, Peter W.
14 Ginzburg, Victor
14 He, Jingsong
14 Lenart, Cristian
14 Oshima, Toshio
14 Salisbury, Ben
14 Vasserot, Eric
13 Barlet, Daniel
13 Helminck, Gerardus Franciscus
13 Kapranov, Mikhail M.
13 Shimozono, Mark
13 Tajima, Shinichi
13 Tose, Nobuyuki
12 Aoki, Takashi
12 Cheng, Shun-Jen
12 Joseph, Anthony
12 Sabbah, Claude
11 Adler, Mark
11 Cheng, Jipeng
11 Jing, Naihuan
11 Kamnitzer, Joel
11 Khovanov, Mikhail G.
11 Monteiro Fernandes, Maria Teresa de Lemos
11 Nang, Philibert
11 Takagi, Taichiro
11 van Moerbeke, Pierre
11 Vilonen, Kari
11 Williamson, Geordie
11 Zampieri, Giuseppe
10 Alekseev, Anton Yu.
10 Cox, Ben Lewis
10 Hernandez, David
10 Jimbo, Michio
10 Kleshchev, Alexander S.
10 Lam, Thomas F.
10 Lauda, Aaron D.
10 Li, Chuanzhong
10 Marsh, Robert James
10 Muro, Masakazu
10 Nakayama, Chikara
10 Varagnolo, Michela
10 Walther, Uli
10 Yekutieli, Amnon
9 Arakawa, Tomoyuki
9 Kato, Kazuya
9 Kato, Syu
9 Kobayashi, Toshiyuki
9 Laurent, Yves
9 Li, Yiqiang
9 Maisonobe, Philippe
9 Nadler, David
9 Nakayashiki, Atsushi
9 Nishiyama, Kyo
9 Sakamoto, Reiho
9 Takayama, Nobuki
9 Webster, Ben
9 Zhu, Chen-Bo
8 Ariki, Susumu
8 Collingwood, David H.
8 Finkelberg, Michael Vladlenovich
8 Fourier, Ghislain
8 Harnad, John
8 Howe, Roger Evans
8 Jakobsen, Hans Plesner
8 Lee, Kyu-Hwan
8 Littelmann, Peter
8 Mañas, Manuel
...and 2,372 more Authors
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Cited in 259 Serials

263 Journal of Algebra
187 Advances in Mathematics
141 Publications of the Research Institute for Mathematical Sciences, Kyoto University
118 Duke Mathematical Journal
101 Communications in Mathematical Physics
98 Transactions of the American Mathematical Society
91 Proceedings of the Japan Academy. Series A
82 Inventiones Mathematicae
81 Journal of Mathematical Physics
72 Communications in Algebra
67 Annales de l’Institut Fourier
66 Representation Theory
65 Compositio Mathematica
61 Journal of Functional Analysis
60 Selecta Mathematica. New Series
58 Letters in Mathematical Physics
53 Journal of Pure and Applied Algebra
53 Mathematische Zeitschrift
48 Mathematische Annalen
47 Journal of Geometry and Physics
42 Algebras and Representation Theory
40 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
40 Journal of Algebraic Combinatorics
37 Transformation Groups
34 Proceedings of the American Mathematical Society
31 Journal of the American Mathematical Society
30 Nuclear Physics. B
30 Journal of Combinatorial Theory. Series A
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
28 Séminaire Lotharingien de Combinatoire
23 Theoretical and Mathematical Physics
22 Tohoku Mathematical Journal. Second Series
21 Bulletin de la Société Mathématique de France
20 Functional Analysis and its Applications
20 Manuscripta Mathematica
20 Proceedings of the Japan Academy
19 Nagoya Mathematical Journal
18 Rendiconti del Seminario Matematico della Università di Padova
17 Physica D
17 Journal of Symbolic Computation
15 Physics Letters. A
15 Acta Applicandae Mathematicae
15 Bulletin of the American Mathematical Society. New Series
14 Israel Journal of Mathematics
14 Publications Mathématiques
14 European Journal of Combinatorics
13 Communications in Partial Differential Equations
13 Journal of Algebraic Geometry
13 Annals of Mathematics. Second Series
13 Science China. Mathematics
12 Journal of Mathematical Sciences (New York)
11 Memoirs of the American Mathematical Society
11 Advances in Applied Mathematics
11 International Journal of Mathematics
11 Journal of Nonlinear Mathematical Physics
10 Journal für die Reine und Angewandte Mathematik
10 Topology and its Applications
10 Bulletin des Sciences Mathématiques
10 Journal of High Energy Physics
9 Arkiv för Matematik
9 Journal of Differential Equations
9 Journal of the Mathematical Society of Japan
9 Journal of the European Mathematical Society (JEMS)
8 Journal of Mathematical Analysis and Applications
8 Chaos, Solitons and Fractals
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
8 Journal of Soviet Mathematics
8 Mémoires de la Société Mathématique de France. Nouvelle Série
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal of the Institute of Mathematics of Jussieu
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Japanese Journal of Mathematics. 3rd Series
7 International Journal of Modern Physics A
7 Acta Mathematica
7 Differential Geometry and its Applications
7 Indagationes Mathematicae. New Series
7 Documenta Mathematica
7 Nonlinear Dynamics
7 Quantum Topology
7 Kyoto Journal of Mathematics
6 Applied Mathematics and Computation
6 Osaka Journal of Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Geometry & Topology
6 Communications in Contemporary Mathematics
6 Journal of Algebra and its Applications
6 Algebraic Combinatorics
5 Journal d’Analyse Mathématique
5 Reviews in Mathematical Physics
5 Glasgow Mathematical Journal
5 Proceedings of the London Mathematical Society. Third Series
5 Tokyo Journal of Mathematics
5 Chinese Annals of Mathematics. Series B
5 International Journal of Algebra and Computation
5 The Electronic Journal of Combinatorics
5 Acta Mathematica Sinica. English Series
5 Central European Journal of Mathematics
5 Mathematics in Computer Science
5 Forum of Mathematics, Sigma
4 Discrete Mathematics
...and 159 more Serials
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Cited in 57 Fields

1,118 Nonassociative rings and algebras (17-XX)
777 Algebraic geometry (14-XX)
535 Partial differential equations (35-XX)
507 Several complex variables and analytic spaces (32-XX)
421 Group theory and generalizations (20-XX)
392 Topological groups, Lie groups (22-XX)
386 Combinatorics (05-XX)
327 Quantum theory (81-XX)
323 Associative rings and algebras (16-XX)
281 Dynamical systems and ergodic theory (37-XX)
262 Global analysis, analysis on manifolds (58-XX)
234 Category theory; homological algebra (18-XX)
168 Differential geometry (53-XX)
144 Number theory (11-XX)
142 Commutative algebra (13-XX)
107 Functional analysis (46-XX)
82 Abstract harmonic analysis (43-XX)
76 Special functions (33-XX)
75 Statistical mechanics, structure of matter (82-XX)
72 Algebraic topology (55-XX)
71 Manifolds and cell complexes (57-XX)
58 Ordinary differential equations (34-XX)
45 Operator theory (47-XX)
44 Computer science (68-XX)
34 Linear and multilinear algebra; matrix theory (15-XX)
34 \(K\)-theory (19-XX)
25 Functions of a complex variable (30-XX)
24 Integral transforms, operational calculus (44-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
23 Convex and discrete geometry (52-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
19 Difference and functional equations (39-XX)
18 Mathematical logic and foundations (03-XX)
18 Probability theory and stochastic processes (60-XX)
11 Relativity and gravitational theory (83-XX)
10 Mechanics of particles and systems (70-XX)
9 Systems theory; control (93-XX)
8 Numerical analysis (65-XX)
8 Fluid mechanics (76-XX)
7 Field theory and polynomials (12-XX)
6 History and biography (01-XX)
6 Potential theory (31-XX)
6 Geometry (51-XX)
5 General topology (54-XX)
4 General and overarching topics; collections (00-XX)
4 Real functions (26-XX)
4 Approximations and expansions (41-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
3 Biology and other natural sciences (92-XX)
3 Information and communication theory, circuits (94-XX)
2 Measure and integration (28-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
1 General algebraic systems (08-XX)
1 Integral equations (45-XX)
1 Optics, electromagnetic theory (78-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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