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Author ID: kashiwara.masaki Recent zbMATH articles by "Kashiwara, Masaki"
Published as: Kashiwara, Masaki; Kashiwara, M.
Further Spellings: Кашивара Масаки
Homepage: http://www.kurims.kyoto-u.ac.jp/~kenkyubu/kashiwara/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Chern Medal (2018) · Kyoto Prize in Basic Sciences (2018)
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Co-Authors

62 single-authored
48 Kawai, Takahiro
41 Schapira, Pierre
26 Kang, Seok-Jin
23 Miwa, Tetsuji
19 Kim, Myungho
16 Oh, Se-jin
11 Tanisaki, Toshiyuki
10 Jimbo, Michio
10 Park, Euiyong
9 Date, Etsuro
8 Oshima, Toshio
7 D’Agnolo, Andrea
6 Nakashima, Toshiki
6 Sato, Mikio
5 Misra, Kailash C.
5 Monteiro Fernandes, Maria Teresa de Lemos
4 Brylinski, Jean-Luc
4 Vergne, Michèle
3 Enomoto, Naoya
3 Grantcharov, Dimitar
3 Hotta, Ryoshi
3 Jung, Ji Hye
3 Nakayashiki, Atsushi
3 Okado, Masato
2 Barlet, Daniel
2 Jeong, Kyeonghoon
2 Kawanaka, Noriaki
2 Kimura, Tatsuo
2 Lusztig, George
2 Schiffmann, Olivier G.
2 Shinoda, Kenichi
2 Shoji, Toshiaki
2 Sjöstrand, Johannes
2 Stapp, Henry P.
2 Vilonen, Kari
1 Akasaka, Tatsuya
1 Aoki, Takashi
1 Arakawa, Tomoyuki
1 Asai, Teruaki
1 Benkart, Georgia M.
1 Borho, Walter
1 Cochet, Charles
1 De Concini, Corrado
1 Demailly, Jean-Pierre
1 Dubson, Alberto S.
1 Feĭgin, Boris L’vovich
1 Guillemin, Victor W.
1 Guillermou, Stéphane
1 Gyoja, Akihiko
1 Hasegawa, Masahito
1 Houzel, Christian
1 Ivorra, Florian
1 Kahng, Byeong Hoon
1 Kato, Shin-ichi
1 Kobayashi, Toshiyuki
1 Koike, Kazuhiko
1 Kowata, Atsutaka
1 Kumagai, Takashi
1 Lauritzen, Niels
1 MacPherson, Robert Duncan
1 Makino, Kazuhisa
1 Matsuki, Toshihiko
1 Matsuo, Atsushi
1 Miemietz, Vanessa
1 Minemura, Katsuhiro
1 Mochizuki, Takuro
1 Mukai, Shigeru
1 Mukhin, Evgeny
1 Nakajima, Hiraku
1 Nakanishi, Kenji
1 Nishiyama, Kyo
1 Okada, Soichi
1 Okamoto, Kiyosato
1 Ono, Kaoru
1 Ozawa, Narutaka
1 Petersen, Jens-Ulrik H.
1 Procesi, Claudio
1 Rouquier, Raphaël
1 Saito, Kyoji
1 Saito, Yoshihisa
1 Satake, Ikuo
1 Schmid, Wilfried
1 Shimozono, Mark
1 Shin, Dong-Uy
1 Spaltenstein, Nicolas
1 Springer, Tonny Albert
1 Suh, Uhi Rinn
1 Takei, Yoshitsugu
1 Takeyama, Yoshihiro
1 Tamagawa, Akio
1 Tanaka, Makoto
1 Terada, Itaru
1 Tomotada, Ohtsuki
1 Tsuchioka, Shunsuke
1 Vernge, M.
1 Waschkies, Ingo
1 Yamada, Daisuke
1 Yamada, Hirofumi
1 Yamada, Michio
1 Yau, Shing-Tung
...and 1 more Co-Authors
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Serials

22 Publications of the Research Institute for Mathematical Sciences, Kyoto University
15 Proceedings of the Japan Academy. Series A
14 Inventiones Mathematicae
13 Duke Mathematical Journal
11 Proceedings of the Japan Academy
7 Advances in Mathematics
6 Communications in Mathematical Physics
5 Compositio Mathematica
5 Sūgaku
5 Selecta Mathematica. New Series
4 Proceedings of the London Mathematical Society. Third Series
4 IMRN. International Mathematics Research Notices
4 Comptes Rendus de l’Académie des Sciences. Série I
3 Journal of Algebra
3 Journal für die Reine und Angewandte Mathematik
3 Journal of the American Mathematical Society
3 Séminaire Équations aux Dérivées Partielles
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 Transactions of the American Mathematical Society
2 Mémoires de la Société Mathématique de France. Nouvelle Série
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 Mathematische Zeitschrift
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 Pure and Applied Mathematics Quarterly
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 Princeton Mathematical Series
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
1 Tunisian Journal of Mathematics
1 RIMS Kokyuroku

Publications by Year

Citations contained in zbMATH Open

223 Publications have been cited 7,336 times in 3,708 Documents Cited by Year
On crystal bases of the \(q\)-analogue of universal enveloping algebras. Zbl 0739.17005
Kashiwara, M.
515
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
301
1990
Microfunctions and pseudo-differential equations. Zbl 0277.46039
Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki
271
1973
Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005
Kashiwara, Masaki; Nakashima, Toshiki
230
1994
Categories and sheaves. Zbl 1118.18001
Kashiwara, Masaki; Schapira, Pierre
228
2006
Crystalizing the q-analogue of universal enveloping algebras. Zbl 0724.17009
Kashiwara, Masaki
218
1990
The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008
Kashiwara, Masaki
210
1993
On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009
Kashiwara, M.; Vergne, M.
185
1978
Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
170
1981
On crystal bases. Zbl 0851.17014
Kashiwara, Masaki
160
1995
Kazhdan-Lusztig conjecture and holonomic systems. Zbl 0473.22009
Brylinski, J. L.; Kashiwara, M.
159
1981
Affine crystals and vertex models. Zbl 0925.17005
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
158
1992
B-functions and holonomic systems. Rationality of roots of B-functions. Zbl 0354.35082
Kashiwara, Masaki
158
1976
Transformation groups for soliton equations. Zbl 0571.35098
Date, Etsuro; Kashiwara, Masaki; Jimbo, Michio; Miwa, Tetsuji
119
1983
Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009
Kashiwara, Masaki
119
1994
KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T.
118
1981
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.
116
1982
On level-zero representation of quantized affine algebras. Zbl 1033.17017
Kashiwara, Masaki
116
2002
On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033
Kashiwara, Masaki; Kawai, Takahiro
114
1981
The Riemann-Hilbert problem for holonomic systems. Zbl 0566.32023
Kashiwara, Masaki
113
1984
Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi
112
1992
Global crystal bases of quantum groups. Zbl 0774.17018
Kashiwara, Masaki
99
1993
Geometric construction of crystal bases. Zbl 0901.17006
Kashiwara, Masaki; Saito, Yoshihisa
96
1997
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
94
1982
On the holonomic systems of linear differential equations. II. Zbl 0401.32005
Kashiwara, Masaki
85
1978
Vanishing cycle sheaves and holonomic systems of differential equations. Zbl 0566.32022
Kashiwara, M.
84
1983
On the maximally overdetermined system of linear differential equations. I. Zbl 0313.58019
Kashiwara, Masaki
81
1975
Microlocal study of sheaves. Zbl 0589.32019
Kashiwara, Masaki; Schapira, Pierre
71
1985
Eigenfunctions of invariant differential operators on a symmetric space. Zbl 0377.43012
Kashiwara, M.; Kowata, A.; Minemura, K.; Okamoto, K.; Oshima, T.; Tanaka, M.
70
1978
Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011
Akasaka, Tatsuya; Kashiwara, Masaki
69
1997
The invariant holonomic system on a semisimple Lie algebra. Zbl 0538.22013
Hotta, R.; Kashiwara, M.
64
1984
\(D\)-modules and microlocal calculus. Translated from the Japanese by Mutsumi Saito. Zbl 1017.32012
Kashiwara, Masaki
57
2003
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020
Kashiwara, Masaki; Tanisaki, Toshiyuki
53
1995
Ind-sheaves. Zbl 0993.32009
Kashiwara, Masaki; Schapira, Pierre
53
2001
Systems of differential equations with regular singularities and their boundary value problems. Zbl 0358.35073
Kashiwara, Masaki; Oshima, Toshio
52
1977
Similarity of crystal bases. Zbl 0874.17028
Kashiwara, Masaki
52
1996
Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034
Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T.
51
1980
Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
51
1994
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
50
2000
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017
Kang, Seok-Jin; Kashiwara, Masaki
50
2012
Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski. Zbl 0521.58057
Kashiwara, Masaki
49
1983
Micro-hyperbolic systems. Zbl 0413.35049
Kashiwara, M.; Schapira, P.
47
1979
Monoidal categorification of cluster algebras. Zbl 1460.13039
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
46
2018
Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II. Zbl 0538.35066
Date, Etsuro; Kashiwara, Masaki; Miwa, Tetsuji
43
1981
Realizations of crystals. Zbl 1066.17006
Kashiwara, Masaki
42
2003
Deformation quantization modules. Zbl 1260.32001
Kashiwara, Masaki; Schapira, Pierre
40
2012
A study of variation of mixed Hodge structure. Zbl 0621.14007
Kashiwara, Masaki
38
1986
Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. Zbl 0492.58021
Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki
38
1981
The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012
Kashiwara, Masaki; Vergne, Michele
38
1978
Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060
Kashiwara, Masaki; Schapira, Pierre
38
1996
Simplicity of heads and socles of tensor products. Zbl 1366.17014
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
38
2015
Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007
Kashiwara, Masaki
37
2002
Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras. Zbl 0571.35104
Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji
36
1983
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
36
2015
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015
Kashiwara, Masaki; Tanisaki, Toshiyuki
35
2002
Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013
Kashiwara, M.; Miwa, T.; Stern, E.
35
1995
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
33
2018
Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki
32
2005
The flag manifold of Kac-Moody Lie algebra. Zbl 0764.17019
Kashiwara, M.
30
1989
Second-microlocalization and asymptotic expansions. Zbl 0458.46027
Kashiwara, Masaki; Kawai, Takahiro
30
1980
Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066
Kashiwara, Masaki; Kawai, Takahiro
29
1975
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
29
1995
The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005
Kashiwara, Masaki; Kawai, Takahiro
28
1987
Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306
Kashiwara, Masaki
28
2005
Index theorem for a maximally overdetermined system of linear differential equations. Zbl 0305.35073
Kashiwara, Masaki
27
1973
Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001
Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo
26
1986
Quantization of contact manifolds. Zbl 0874.53027
Kashiwara, Masaki
26
1996
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027
Kashiwara, Masaki; Tanisaki, Toshiyuki
26
1996
On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028
Kashiwara, Masaki; Kawai, Takahiro
26
1972
The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I. Zbl 0538.35065
Kashiwara, Masaki; Miwa, Tetsuji
25
1981
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
23
2014
The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra. Zbl 0611.22008
Kashiwara, M.; Tanisaki, T.
22
1984
Quiver Hecke superalgebras. Zbl 1360.17018
Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke
22
2016
Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin
22
2013
\(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023
Kashiwara, Masaki
21
2004
Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014
Kashiwara, Masaki; Schmid, Wilfried
21
1994
Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108
Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre
21
2012
Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009
Kashiwara, Masaki; Tanisaki, Toshiyuki
20
2000
Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012
Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D.
20
2007
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
19
2016
Microlocalization of rational Cherednik algebras. Zbl 1147.14002
Kashiwara, Masaki; Rouquier, Raphaël
19
2008
The asymptotic behavior of a variation of polarized Hodge structure. Zbl 0594.14012
Kashiwara, Masaki
19
1985
Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014
Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M.
19
1996
Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315
Kashiwara, Masaki; Tanisaki, Toshiyuki
18
1998
Index theorem for constructible sheaves. Zbl 0568.32017
Kashiwara, Masaki
17
1985
Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe. Zbl 0369.35061
Kashiwara, Masaki; Schapira, Pierre
17
1978
Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010
Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
17
2008
Monoidal categorification and quantum affine algebras. Zbl 1497.17020
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
17
2020
Crystal bases for the quantum queer superalgebra. Zbl 1336.17014
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
17
2015
Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra. II: Intersection cohomologies of Schubert varieties. Zbl 0743.17024
Kashiwara, Masaki; Tanisaki, Toshiyuki
16
1990
On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003
Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes
16
1979
Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006
Kashiwara, M.; Vergne, M.
16
1979
Bases cristallines. (Crystal bases). Zbl 0724.17008
Kashiwara, Masaki
15
1990
The determinant of matrices of pseudo-differential operators. Zbl 0337.35067
Sato, Mikio; Kashiwara, Masaki
15
1975
On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067
Kashiwara, Masaki; Kawai, Takahiro
14
1979
Representation theory and D-modules on flag varieties. Zbl 0705.22010
Kashiwara, Masaki
14
1989
Irregular holonomic kernels and Laplace transform. Zbl 1337.32020
Kashiwara, Masaki; Schapira, Pierre
14
2016
On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019
Kashiwara, Masaki; Kawai, Takahiro
13
1979
Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V. Zbl 0571.35101
Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji
13
1982
Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010
Kashiwara, Masaki
13
2008
Simply laced root systems arising from quantum affine algebras. Zbl 07481801
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
2
2022
Localizations for quiver Hecke algebras. Zbl 1495.18020
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
2
2021
Braid group action on the module category of quantum affine algebras. Zbl 07405602
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
1
2021
PBW theoretic approach to the module category of quantum affine algebras. Zbl 07405606
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
1
2021
Categories over quantum affine algebras and monoidal categorification. Zbl 07405607
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
1
2021
Piecewise linear sheaves. Zbl 1494.55010
Kashiwara, Masaki; Schapira, Pierre
1
2021
Monoidal categorification and quantum affine algebras. Zbl 1497.17020
Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong
17
2020
Categorical relations between Langlands dual quantum affine algebras: doubly laced types. Zbl 1479.17027
Kashiwara, Masaki; Oh, Se-jin
11
2019
Monoidal categories of modules over quantum affine algebras of type \(A\) and \(B\). Zbl 1472.17054
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin
8
2019
Enhanced perversities. Zbl 1423.32015
D’Agnolo, Andrea; Kashiwara, Masaki
7
2019
Laurent phenomenon and simple modules of quiver Hecke algebras. Zbl 1505.13034
Kashiwara, Masaki; Kim, Myungho
6
2019
Monoidal categorification of cluster algebras. Zbl 1460.13039
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
46
2018
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
33
2018
Persistent homology and microlocal sheaf theory. Zbl 1423.55013
Kashiwara, Masaki; Schapira, Pierre
9
2018
Monoidal categories associated with strata of flag manifolds. Zbl 1437.17005
Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong
9
2018
Affinizations and R-matrices for quiver Hecke algebras. Zbl 1475.16024
Kashiwara, Masaki; Park, Euiyong
7
2018
A microlocal approach to the enhanced Fourier-Sato transform in dimension one. Zbl 1410.32007
D’Agnolo, Andrea; Kashiwara, Masaki
4
2018
Crystal bases and categorifications – Chern medal lecture. Zbl 1441.17014
Kashiwara, Masaki
2
2018
Quiver Hecke superalgebras. Zbl 1360.17018
Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke
22
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
19
2016
Irregular holonomic kernels and Laplace transform. Zbl 1337.32020
Kashiwara, Masaki; Schapira, Pierre
14
2016
Regular and irregular holonomic D-modules. Zbl 1354.32008
Kashiwara, Masaki; Schapira, Pierre
12
2016
Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. Zbl 1351.32017
D’Agnolo, Andrea; Kashiwara, Masaki
11
2016
Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules. Zbl 1351.32001
Kashiwara, Masaki
6
2016
Self-dual t-structure. Zbl 1355.18008
Kashiwara, Masaki
1
2016
Simplicity of heads and socles of tensor products. Zbl 1366.17014
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin
38
2015
Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046
Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
36
2015
Crystal bases for the quantum queer superalgebra. Zbl 1336.17014
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
17
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
8
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
23
2014
Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007
Kashiwara, Masaki; Vilonen, Kari
5
2014
Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin
22
2013
Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data. Zbl 1281.14011
Kang, Seok-Jin; Kashiwara, Masaki; Park, Euiyong
3
2013
Categorification of highest weight modules over quantum generalized Kac-Moody algebras. Zbl 1290.05158
Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-Jin
2
2013
Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017
Kang, Seok-Jin; Kashiwara, Masaki
50
2012
Deformation quantization modules. Zbl 1260.32001
Kashiwara, Masaki; Schapira, Pierre
40
2012
Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108
Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre
21
2012
Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras. Zbl 1252.05220
Kashiwara, Masaki
10
2012
Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. Zbl 1287.17032
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
5
2012
Notes on parameters of quiver Hecke algebras. Zbl 1257.20005
Kashiwara, Masaki
4
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
6
2011
Quantum queer superalgebra and crystal bases. Zbl 1237.17018
Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho
13
2010
Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006
Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
11
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
13
2009
Geometric construction of crystal bases for quantum generalized Kac-Moody algebras. Zbl 1234.17009
Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier
9
2009
Modules over deformation quantization algebroids: An overview. Zbl 1196.53054
Kashiwara, Masaki; Schapira, Pierre
2
2009
Microlocalization of rational Cherednik algebras. Zbl 1147.14002
Kashiwara, Masaki; Rouquier, Raphaël
19
2008
Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010
Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato
17
2008
Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010
Kashiwara, Masaki
13
2008
Constructibility and duality for simple holonomic modules on complex symplectic manifolds. Zbl 1142.53071
Kashiwara, Masaki; Schapira, Pierre
12
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
3
2008
Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012
Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D.
20
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
7
2007
Categories and sheaves. Zbl 1118.18001
Kashiwara, Masaki; Schapira, Pierre
228
2006
Symmetric crystals and affine Hecke algebras of type \(B\). Zbl 1130.20008
Kashiwara, Masaki; Enomoto, Naoya
8
2006
Microlocalization of ind-sheaves. Zbl 1098.35008
Kashiwara, M.; Schapira, P.; Ivorra, F.; Waschkies, I.
3
2006
Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009
Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki
32
2005
Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306
Kashiwara, Masaki
28
2005
\(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023
Kashiwara, Masaki
21
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
57
2003
Realizations of crystals. Zbl 1066.17006
Kashiwara, Masaki
42
2003
Microlocal study of ind-sheaves. I: Micro-support and regularity. Zbl 1053.35009
Kashiwara, Masaki; Schapira, Pierre
12
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
116
2002
Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007
Kashiwara, Masaki
37
2002
Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015
Kashiwara, Masaki; Tanisaki, Toshiyuki
35
2002
Local cohomology and \(\mathcal D\)-affinity in positive characteristic. Zbl 1016.14009
Kashiwara, Masaki; Lauritzen, Niels
11
2002
Ind-sheaves. Zbl 0993.32009
Kashiwara, Masaki; Schapira, Pierre
53
2001
Micro-support and Cauchy problem for temperate solutions of regular \({\mathcal D}\)-modules. Zbl 1038.35006
Fernandes, T. M.; Kashiwara, M.; Schapira, P.
3
2001
Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010
Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki
50
2000
Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009
Kashiwara, Masaki; Tanisaki, Toshiyuki
20
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
18
1998
Semisimple holonomic \({\mathcal D}\)-modules. Zbl 0935.32009
Kashiwara, Masaki
5
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
1
1998
Preface to: Mikio Sato. A great Japanese mathematician of the twentieth century. Zbl 0958.01021
Kashiwara, Masaki; Kawai, Takahiro; Yau, Shing-Tung
1
1998
Geometric construction of crystal bases. Zbl 0901.17006
Kashiwara, Masaki; Saito, Yoshihisa
96
1997
Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011
Akasaka, Tatsuya; Kashiwara, Masaki
69
1997
Integral transforms with exponential kernels and Laplace transform. Zbl 0888.32004
Kashiwara, Masaki; Schapira, Pierre
8
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
52
1996
Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060
Kashiwara, Masaki; Schapira, Pierre
38
1996
Quantization of contact manifolds. Zbl 0874.53027
Kashiwara, Masaki
26
1996
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027
Kashiwara, Masaki; Tanisaki, Toshiyuki
26
1996
Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014
Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M.
19
1996
On crystal bases. Zbl 0851.17014
Kashiwara, Masaki
160
1995
Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020
Kashiwara, Masaki; Tanisaki, Toshiyuki
53
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
29
1995
Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005
Kashiwara, Masaki; Nakashima, Toshiki
230
1994
Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009
Kashiwara, Masaki
119
1994
Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007
Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.
51
1994
...and 123 more Documents
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Cited by 2,786 Authors

121 Kashiwara, Masaki
47 Kawai, Takahiro
45 Kang, Seok-Jin
37 Schapira, Pierre
37 Scrimshaw, Travis
35 Kwon, Jae-Hoon
32 Oh, Se-jin
31 Okado, Masato
29 Schilling, Anne
28 Naito, Satoshi
28 Saito, Morihiko
26 Misra, Kailash C.
25 Lecouvey, Cédric
24 Nakashima, Toshiki
24 Sagaki, Daisuke
24 Shin, Dong-Uy
24 Wang, Weiqiang
23 D’Agnolo, Andrea
23 Kim, Jeong-Ah
22 Kim, Myungho
22 Park, Euiyong
22 van de Leur, Johan W.
21 Oaku, Toshinori
20 He, Jingsong
20 Takeuchi, Kiyoshi
19 Kuniba, Atsuo
18 Prelli, Luca
17 Kac, Victor G.
17 Lee, Hyeonmi
17 Salisbury, Ben
16 Brundan, Jonathan
16 Cheng, Jipeng
16 Leclerc, Bernard
16 Miwa, Tetsuji
16 Tajima, Shinichi
16 Takasaki, Kanehisa
16 Tingley, Peter W.
16 Vasserot, Eric
15 Barlet, Daniel
15 Chari, Vyjayanthi
15 Lenart, Cristian
15 Walther, Uli
14 Ginzburg, Victor
14 Oshima, Toshio
14 Shimozono, Mark
14 Williamson, Geordie
13 Cheng, Shun-Jen
13 Harnad, John
13 Kapranov, Mikhail M.
13 Monteiro Fernandes, Maria Teresa de Lemos
13 Orlov, Aleksandr Yu.
13 Sabbah, Claude
13 Tose, Nobuyuki
12 Alekseev, Anton Yur’evich
12 Aoki, Takashi
12 Cheng, Yi
12 Jing, Naihuan
12 Joseph, Anthony
12 Khovanov, Mikhail G.
12 Kobayashi, Toshiyuki
12 Koshevoy, Gleb A.
12 Varagnolo, Michela
12 Vilonen, Kari
11 Adler, Mark
11 Finkelberg, Michael Vladlenovich
11 Helminck, Gerardus Franciscus
11 Kamnitzer, Joel
11 Lam, Thomas F.
11 Lauda, Aaron D.
11 Nang, Philibert
11 Takagi, Taichiro
11 van Moerbeke, Pierre
11 Zampieri, Giuseppe
10 Cox, Ben Lewis
10 Hernandez, David
10 Jakobsen, Hans Plesner
10 Jimbo, Michio
10 Kato, Syu
10 Kleshchev, Alexander S.
10 Lee, Kyu-Hwan
10 Marsh, Bethany Rose
10 Mazorchuk, Volodymyr
10 Muro, Masakazu
10 Nakayama, Chikara
10 Nakayashiki, Atsushi
10 Riche, Simon
10 Takayama, Nobuki
10 Webster, Ben
9 Arakawa, Tomoyuki
9 Ariki, Susumu
9 Assaf, Sami H.
9 Futorny, Vyacheslav M.
9 Grantcharov, Dimitar
9 Hu, Jun
9 Kato, Kazuya
9 Laurent, Yves
9 Li, Chuanzhong
9 Littelmann, Peter
9 Ma, Wen-Xiu
9 Maisonobe, Philippe
...and 2,686 more Authors
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Cited in 306 Serials

274 Journal of Algebra
207 Advances in Mathematics
151 Publications of the Research Institute for Mathematical Sciences, Kyoto University
120 Duke Mathematical Journal
114 Communications in Mathematical Physics
107 Transactions of the American Mathematical Society
97 Journal of Mathematical Physics
96 Proceedings of the Japan Academy. Series A
88 Inventiones Mathematicae
85 Representation Theory
83 Communications in Algebra
78 Selecta Mathematica. New Series
76 Compositio Mathematica
73 Annales de l’Institut Fourier
68 Letters in Mathematical Physics
67 Mathematische Zeitschrift
60 Journal of Pure and Applied Algebra
56 Journal of Functional Analysis
50 Journal of Geometry and Physics
49 Mathematische Annalen
48 Transformation Groups
46 Algebras and Representation Theory
42 Journal of Algebraic Combinatorics
41 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
39 Proceedings of the American Mathematical Society
38 Journal of Combinatorial Theory. Series A
35 Journal of the American Mathematical Society
35 Séminaire Lotharingien de Combinatoire
31 Theoretical and Mathematical Physics
30 Bulletin de la Société Mathématique de France
30 Comptes Rendus. Mathématique. Académie des Sciences, Paris
26 Nuclear Physics. B
23 Manuscripta Mathematica
23 Nagoya Mathematical Journal
23 Tôhoku Mathematical Journal. Second Series
20 Functional Analysis and its Applications
20 Physica D
20 Journal of High Energy Physics
20 Proceedings of the Japan Academy
19 Journal für die Reine und Angewandte Mathematik
18 Rendiconti del Seminario Matematico della Università di Padova
17 European Journal of Combinatorics
16 Journal of Symbolic Computation
15 Memoirs of the American Mathematical Society
15 Acta Applicandae Mathematicae
15 Bulletin of the American Mathematical Society. New Series
15 Annals of Mathematics. Second Series
14 Israel Journal of Mathematics
14 Publications Mathématiques
14 The Electronic Journal of Combinatorics
14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
14 Science China. Mathematics
13 Pacific Journal of Mathematics
13 Communications in Partial Differential Equations
13 Journal of Algebraic Geometry
13 Journal of Mathematical Sciences (New York)
13 Journal of the European Mathematical Society (JEMS)
13 Forum of Mathematics, Sigma
12 Physics Letters. A
12 International Journal of Mathematics
12 Journal of Nonlinear Mathematical Physics
12 Algebraic Combinatorics
11 Advances in Applied Mathematics
11 Documenta Mathematica
11 Geometry & Topology
11 Kyoto Journal of Mathematics
9 Arkiv för Matematik
9 Journal of the Mathematical Society of Japan
9 Topology and its Applications
9 Communications in Contemporary Mathematics
9 Journal of the Institute of Mathematics of Jussieu
9 Algebra & Number Theory
9 Japanese Journal of Mathematics. 3rd Series
9 Quantum Topology
8 International Journal of Modern Physics A
8 Chaos, Solitons and Fractals
8 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
8 Journal of Differential Equations
8 Journal of Soviet Mathematics
8 Mémoires de la Société Mathématique de France. Nouvelle Série
8 Indagationes Mathematicae. New Series
8 Bulletin des Sciences Mathématiques
8 Annals of Combinatorics
8 Journal of Algebra and its Applications
7 Acta Mathematica
7 Differential Geometry and its Applications
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Nonlinear Dynamics
7 Algebraic & Geometric Topology
7 Journal of the Australian Mathematical Society
6 Journal of Mathematical Analysis and Applications
6 Physics Letters. B
6 Applied Mathematics and Computation
6 Glasgow Mathematical Journal
6 Osaka Journal of Mathematics
6 International Journal of Algebra and Computation
6 Mathematics in Computer Science
5 Journal d’Analyse Mathématique
5 Rocky Mountain Journal of Mathematics
5 Reviews in Mathematical Physics
...and 206 more Serials
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Cited in 58 Fields

1,303 Nonassociative rings and algebras (17-XX)
959 Algebraic geometry (14-XX)
585 Partial differential equations (35-XX)
564 Several complex variables and analytic spaces (32-XX)
498 Group theory and generalizations (20-XX)
482 Combinatorics (05-XX)
438 Topological groups, Lie groups (22-XX)
402 Associative rings and algebras (16-XX)
383 Quantum theory (81-XX)
336 Dynamical systems and ergodic theory (37-XX)
300 Category theory; homological algebra (18-XX)
276 Global analysis, analysis on manifolds (58-XX)
198 Differential geometry (53-XX)
190 Commutative algebra (13-XX)
180 Number theory (11-XX)
109 Functional analysis (46-XX)
90 Manifolds and cell complexes (57-XX)
87 Special functions (33-XX)
86 Abstract harmonic analysis (43-XX)
86 Algebraic topology (55-XX)
83 Statistical mechanics, structure of matter (82-XX)
59 Ordinary differential equations (34-XX)
53 Computer science (68-XX)
49 Operator theory (47-XX)
47 Linear and multilinear algebra; matrix theory (15-XX)
40 \(K\)-theory (19-XX)
29 Functions of a complex variable (30-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
26 Convex and discrete geometry (52-XX)
25 Mathematical logic and foundations (03-XX)
22 Integral transforms, operational calculus (44-XX)
21 Probability theory and stochastic processes (60-XX)
20 Difference and functional equations (39-XX)
19 Order, lattices, ordered algebraic structures (06-XX)
16 Relativity and gravitational theory (83-XX)
12 Mechanics of particles and systems (70-XX)
10 Field theory and polynomials (12-XX)
10 Systems theory; control (93-XX)
9 Numerical analysis (65-XX)
9 Fluid mechanics (76-XX)
8 Potential theory (31-XX)
8 Approximations and expansions (41-XX)
7 Geometry (51-XX)
7 General topology (54-XX)
5 General and overarching topics; collections (00-XX)
5 Real functions (26-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 History and biography (01-XX)
4 Statistics (62-XX)
4 Information and communication theory, circuits (94-XX)
3 Measure and integration (28-XX)
3 Integral equations (45-XX)
3 Biology and other natural sciences (92-XX)
2 General algebraic systems (08-XX)
2 Mechanics of deformable solids (74-XX)
2 Geophysics (86-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Optics, electromagnetic theory (78-XX)

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