Edit Profile (opens in new tab) Kashiwara, Masaki Co-Author Distance Author ID: 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) Documents Indexed: 269 Publications since 1970, including 12 Books and 13 Additional arXiv Preprints 13 Contributions as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 89 Co-Authors with 221 Joint Publications 1,941 Co-Co-Authors all top 5 Co-Authors 62 single-authored 48 Kawai, Takahiro 43 Schapira, Pierre 30 Kang, Seok-Jin 29 Kim, Myungho 27 Oh, Se-jin 23 Miwa, Tetsuji 17 Park, Euiyong 11 Tanisaki, Toshiyuki 10 Jimbo, Michio 9 D’Agnolo, Andrea 9 Date, Etsuro 8 Oshima, Toshio 6 Nakashima, Toshiki 6 Sato, Mikio 5 Misra, Kailash C. 5 Monteiro Fernandes, Maria Teresa de Lemos 5 Vergne, Michèle 4 Brylinski, Jean-Luc 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 McClure 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 Stern, Eugene 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 Waschkies, Ingo 1 Yamada, Daisuke 1 Yamada, Hirofumi 1 Yamada, Michio 1 Yau, Shing-Tung ...and 1 more Co-Authors all top 5 Serials 23 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 6 Proceedings of the London Mathematical Society. Third Series 5 Compositio Mathematica 5 Sūgaku 5 Selecta Mathematica. New 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 all top 5 Fields 105 Nonassociative rings and algebras (17-XX) 86 Partial differential equations (35-XX) 76 Several complex variables and analytic spaces (32-XX) 62 Algebraic geometry (14-XX) 52 Global analysis, analysis on manifolds (58-XX) 37 Quantum theory (81-XX) 34 Topological groups, Lie groups (22-XX) 30 Associative rings and algebras (16-XX) 28 Functional analysis (46-XX) 27 Category theory; homological algebra (18-XX) 25 Group theory and generalizations (20-XX) 14 General and overarching topics; collections (00-XX) 14 Differential geometry (53-XX) 12 Commutative algebra (13-XX) 10 Combinatorics (05-XX) 8 Algebraic topology (55-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 5 Operator theory (47-XX) 4 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 3 Number theory (11-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 2 \(K\)-theory (19-XX) 2 Functions of a complex variable (30-XX) 2 Mechanics of particles and systems (70-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 229 Publications have been cited 8,082 times in 4,064 Documents Cited by ▼ Year ▼ On crystal bases of the \(q\)-analogue of universal enveloping algebras. Zbl 0739.17005 Kashiwara, M. 549 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 375 1990 Microfunctions and pseudo-differential equations. Zbl 0277.46039 Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 285 1973 Categories and sheaves. Zbl 1118.18001 Kashiwara, Masaki; Schapira, Pierre 277 2006 Crystalizing the q-analogue of universal enveloping algebras. Zbl 0724.17009 Kashiwara, Masaki 242 1990 Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005 Kashiwara, Masaki; Nakashima, Toshiki 241 1994 The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008 Kashiwara, Masaki 222 1993 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009 Kashiwara, M.; Vergne, M. 190 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. 182 1981 On crystal bases. Zbl 0851.17014 Kashiwara, Masaki 173 1995 B-functions and holonomic systems. Rationality of roots of B-functions. Zbl 0354.35082 Kashiwara, Masaki 171 1976 Kazhdan-Lusztig conjecture and holonomic systems. Zbl 0473.22009 Brylinski, J. L.; Kashiwara, M. 168 1981 Affine crystals and vertex models. Zbl 0925.17005 Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 163 1992 Transformation groups for soliton equations. Zbl 0571.35098 Date, Etsuro; Kashiwara, Masaki; Jimbo, Michio; Miwa, Tetsuji 153 1983 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. 142 1982 KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102 Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 139 1981 Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009 Kashiwara, Masaki 128 1994 On level-zero representation of quantized affine algebras. Zbl 1033.17017 Kashiwara, Masaki 124 2002 The Riemann-Hilbert problem for holonomic systems. Zbl 0566.32023 Kashiwara, Masaki 118 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 117 1992 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033 Kashiwara, Masaki; Kawai, Takahiro 114 1981 Global crystal bases of quantum groups. Zbl 0774.17018 Kashiwara, Masaki 106 1993 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 103 1982 Geometric construction of crystal bases. Zbl 0901.17006 Kashiwara, Masaki; Saito, Yoshihisa 101 1997 Vanishing cycle sheaves and holonomic systems of differential equations. Zbl 0566.32022 Kashiwara, M. 95 1983 On the holonomic systems of linear differential equations. II. Zbl 0401.32005 Kashiwara, Masaki 89 1978 On the maximally overdetermined system of linear differential equations. I. Zbl 0313.58019 Kashiwara, Masaki 84 1975 Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011 Akasaka, Tatsuya; Kashiwara, Masaki 76 1997 \(D\)-modules and microlocal calculus. Translated from the Japanese by Mutsumi Saito. Zbl 1017.32012 Kashiwara, Masaki 74 2003 Microlocal study of sheaves. Zbl 0589.32019 Kashiwara, Masaki; Schapira, Pierre 72 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. 72 1978 Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017 Kang, Seok-Jin; Kashiwara, Masaki 64 2012 The invariant holonomic system on a semisimple Lie algebra. Zbl 0538.22013 Hotta, R.; Kashiwara, M. 62 1984 Ind-sheaves. Zbl 0993.32009 Kashiwara, Masaki; Schapira, Pierre 61 2001 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020 Kashiwara, Masaki; Tanisaki, Toshiyuki 58 1995 Similarity of crystal bases. Zbl 0874.17028 Kashiwara, Masaki 56 1996 Monoidal categorification of cluster algebras. Zbl 1460.13039 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 56 2018 Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010 Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki 55 2000 Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski. Zbl 0521.58057 Kashiwara, Masaki 54 1983 Systems of differential equations with regular singularities and their boundary value problems. Zbl 0358.35073 Kashiwara, Masaki; Oshima, Toshio 53 1977 Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007 Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. 53 1994 Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034 Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T. 52 1980 Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II. Zbl 0538.35066 Date, Etsuro; Kashiwara, Masaki; Miwa, Tetsuji 49 1981 Realizations of crystals. Zbl 1066.17006 Kashiwara, Masaki 48 2003 Deformation quantization modules. Zbl 1260.32001 Kashiwara, Masaki; Schapira, Pierre 45 2012 Micro-hyperbolic systems. Zbl 0413.35049 Kashiwara, M.; Schapira, P. 45 1979 Simplicity of heads and socles of tensor products. Zbl 1366.17014 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 45 2015 Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007 Kashiwara, Masaki 44 2002 Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 42 2018 A study of variation of mixed Hodge structure. Zbl 0621.14007 Kashiwara, Masaki 42 1986 Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras. Zbl 0571.35104 Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji 40 1983 Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060 Kashiwara, Masaki; Schapira, Pierre 40 1996 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 40 2015 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 Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001 Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo 37 1986 The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012 Kashiwara, Masaki; Vergne, Michele 37 1978 Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013 Kashiwara, M.; Miwa, T.; Stern, E. 36 1995 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015 Kashiwara, Masaki; Tanisaki, Toshiyuki 35 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 34 1995 Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009 Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki 33 2005 Second-microlocalization and asymptotic expansions. Zbl 0458.46027 Kashiwara, Masaki; Kawai, Takahiro 33 1980 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027 Kashiwara, Masaki; Tanisaki, Toshiyuki 31 1996 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005 Kashiwara, Masaki; Kawai, Takahiro 30 1987 Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306 Kashiwara, Masaki 30 2005 The flag manifold of Kac-Moody Lie algebra. Zbl 0764.17019 Kashiwara, M. 30 1989 Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108 Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre 30 2012 Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066 Kashiwara, Masaki; Kawai, Takahiro 29 1975 Index theorem for a maximally overdetermined system of linear differential equations. Zbl 0305.35073 Kashiwara, Masaki 29 1973 Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012 Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin 28 2013 The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I. Zbl 0538.35065 Kashiwara, Masaki; Miwa, Tetsuji 26 1981 On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028 Kashiwara, Masaki; Kawai, Takahiro 26 1972 Quantization of contact manifolds. Zbl 0874.53027 Kashiwara, Masaki 26 1996 Quiver Hecke superalgebras. Zbl 1360.17018 Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke 25 2016 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 25 2014 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 Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012 Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D. 23 2007 Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014 Kashiwara, Masaki; Schmid, Wilfried 21 1994 Index theorem for constructible sheaves. Zbl 0568.32017 Kashiwara, Masaki 21 1985 \(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023 Kashiwara, Masaki 21 2004 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 21 2016 Monoidal categorification and quantum affine algebras. Zbl 1497.17020 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 21 2020 Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010 Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 20 2008 The asymptotic behavior of a variation of polarized Hodge structure. Zbl 0594.14012 Kashiwara, Masaki 20 1985 Crystal bases for the quantum queer superalgebra. Zbl 1336.17014 Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 20 2015 Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. Zbl 1351.32017 D’Agnolo, Andrea; Kashiwara, Masaki 20 2016 Microlocalization of rational Cherednik algebras. Zbl 1147.14002 Kashiwara, Masaki; Rouquier, Raphaël 20 2008 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315 Kashiwara, Masaki; Tanisaki, Toshiyuki 19 1998 Representation theory and D-modules on flag varieties. Zbl 0705.22010 Kashiwara, Masaki 19 1989 Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014 Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M. 19 1996 Persistent homology and microlocal sheaf theory. Zbl 1423.55013 Kashiwara, Masaki; Schapira, Pierre 19 2018 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 18 1982 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebra. II: Intersection cohomologies of Schubert varieties. Zbl 0743.17024 Kashiwara, Masaki; Tanisaki, Toshiyuki 17 1990 Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe. Zbl 0369.35061 Kashiwara, Masaki; Schapira, Pierre 17 1978 Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006 Kashiwara, M.; Vergne, M. 17 1979 On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003 Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes 16 1979 Irregular holonomic kernels and Laplace transform. Zbl 1337.32020 Kashiwara, Masaki; Schapira, Pierre 16 2016 Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010 Kashiwara, Masaki 15 2008 The determinant of matrices of pseudo-differential operators. Zbl 0337.35067 Sato, Mikio; Kashiwara, Masaki 15 1975 Bases cristallines. (Crystal bases). Zbl 0724.17008 Kashiwara, Masaki 15 1990 The \((q, t)\)-Cartan matrix specialized at \(q=1\) and its applications. Zbl 1511.17038 Kashiwara, Masaki; Oh, Se-jin 1 2023 Simply laced root systems arising from quantum affine algebras. Zbl 1512.17022 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 3 2022 Categorical crystals for quantum affine algebras. Zbl 1523.17033 Kashiwara, Masaki; Park, Euiyong 1 2022 Localizations for quiver Hecke algebras. Zbl 1495.18020 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 6 2021 Piecewise linear sheaves. Zbl 1494.55010 Kashiwara, Masaki; Schapira, Pierre 3 2021 Categories over quantum affine algebras and monoidal categorification. Zbl 1511.17037 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 3 2021 Braid group action on the module category of quantum affine algebras. Zbl 1511.17035 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 2 2021 On a topological counterpart of regularization for holonomic \(\mathscr{D}\)-modules. (Sur un analogue topologique de la régularisation pour les \(\mathscr{D}\)-modules holonomes.) Zbl 1460.32008 D’Agnolo, Andrea; Kashiwara, Masaki 1 2021 A finiteness theorem for holonomic DQ-modules on Poisson manifolds. Zbl 1472.53097 Kashiwara, Masaki; Schapira, Pierre 1 2021 PBW theoretic approach to the module category of quantum affine algebras. Zbl 1511.17036 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 1 2021 Enhanced specialization and microlocalization. Zbl 1458.32010 D’Agnolo, Andrea; Kashiwara, Masaki 1 2021 Monoidal categorification and quantum affine algebras. Zbl 1497.17020 Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 21 2020 Categorical relations between Langlands dual quantum affine algebras: doubly laced types. Zbl 1479.17027 Kashiwara, Masaki; Oh, Se-jin 13 2019 Enhanced perversities. Zbl 1423.32015 D’Agnolo, Andrea; Kashiwara, Masaki 12 2019 Laurent phenomenon and simple modules of quiver Hecke algebras. Zbl 1505.13034 Kashiwara, Masaki; Kim, Myungho 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 10 2019 Monoidal categorification of cluster algebras. Zbl 1460.13039 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 56 2018 Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 42 2018 Persistent homology and microlocal sheaf theory. Zbl 1423.55013 Kashiwara, Masaki; Schapira, Pierre 19 2018 Monoidal categories associated with strata of flag manifolds. Zbl 1437.17005 Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong 12 2018 Affinizations and R-matrices for quiver Hecke algebras. Zbl 1475.16024 Kashiwara, Masaki; Park, Euiyong 9 2018 A microlocal approach to the enhanced Fourier-Sato transform in dimension one. Zbl 1410.32007 D’Agnolo, Andrea; Kashiwara, Masaki 6 2018 Crystal bases and categorifications – Chern medal lecture. Zbl 1441.17014 Kashiwara, Masaki 4 2018 Quiver Hecke superalgebras. Zbl 1360.17018 Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke 25 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 21 2016 Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. Zbl 1351.32017 D’Agnolo, Andrea; Kashiwara, Masaki 20 2016 Irregular holonomic kernels and Laplace transform. Zbl 1337.32020 Kashiwara, Masaki; Schapira, Pierre 16 2016 Regular and irregular holonomic D-modules. Zbl 1354.32008 Kashiwara, Masaki; Schapira, Pierre 15 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 45 2015 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046 Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 40 2015 Crystal bases for the quantum queer superalgebra. Zbl 1336.17014 Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 20 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 11 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 25 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 28 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 64 2012 Deformation quantization modules. Zbl 1260.32001 Kashiwara, Masaki; Schapira, Pierre 45 2012 Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108 Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre 30 2012 Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras. Zbl 1252.05220 Kashiwara, Masaki 13 2012 Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. Zbl 1287.17032 Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier 6 2012 Notes on parameters of quiver Hecke algebras. Zbl 1257.20005 Kashiwara, Masaki 5 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 14 2010 Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006 Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 12 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 10 2009 Modules over deformation quantization algebroids: An overview. Zbl 1196.53054 Kashiwara, Masaki; Schapira, Pierre 4 2009 Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010 Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 20 2008 Microlocalization of rational Cherednik algebras. Zbl 1147.14002 Kashiwara, Masaki; Rouquier, Raphaël 20 2008 Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010 Kashiwara, Masaki 15 2008 Constructibility and duality for simple holonomic modules on complex symplectic manifolds. Zbl 1142.53071 Kashiwara, Masaki; Schapira, Pierre 14 2008 Symmetric crystals for \(\mathfrak{gl}_{\infty}\). Zbl 1168.17008 Enomoto, Naoya; Kashiwara, Masaki 8 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. 23 2007 Abstract crystals for quantum generalized Kac-Moody algebras. Zbl 1130.17008 Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki; Shin, Dong-Uy 12 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 277 2006 Symmetric crystals and affine Hecke algebras of type \(B\). Zbl 1130.20008 Kashiwara, Masaki; Enomoto, Naoya 9 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 33 2005 Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306 Kashiwara, Masaki 30 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 74 2003 Realizations of crystals. Zbl 1066.17006 Kashiwara, Masaki 48 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 124 2002 Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007 Kashiwara, Masaki 44 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 61 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 55 2000 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009 Kashiwara, Masaki; Tanisaki, Toshiyuki 23 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 19 1998 Semisimple holonomic \({\mathcal D}\)-modules. Zbl 0935.32009 Kashiwara, Masaki 9 1998 Quantized affine algebras and crystals with core. Zbl 0929.17011 Kang, Seok-Jin; Kashiwara, Masaki 4 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 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 Geometric construction of crystal bases. Zbl 0901.17006 Kashiwara, Masaki; Saito, Yoshihisa 101 1997 Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011 Akasaka, Tatsuya; Kashiwara, Masaki 76 1997 Integral transforms with exponential kernels and Laplace transform. Zbl 0888.32004 Kashiwara, Masaki; Schapira, Pierre 9 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 56 1996 Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060 Kashiwara, Masaki; Schapira, Pierre 40 1996 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027 Kashiwara, Masaki; Tanisaki, Toshiyuki 31 1996 Quantization of contact manifolds. Zbl 0874.53027 Kashiwara, Masaki 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 173 1995 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020 Kashiwara, Masaki; Tanisaki, Toshiyuki 58 1995 ...and 129 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,063 Authors 124 Kashiwara, Masaki 47 Kawai, Takahiro 46 Kang, Seok-Jin 42 Scrimshaw, Travis 41 Schapira, Pierre 37 Kwon, Jae-Hoon 34 Oh, Se-jin 32 Li, Chuanzhong 31 Okado, Masato 30 Naito, Satoshi 30 Saito, Morihiko 29 Schilling, Anne 27 Misra, Kailash C. 26 Lecouvey, Cédric 26 Nakashima, Toshiki 26 Wang, Weiqiang 25 Park, Euiyong 25 Shin, Dong-Uy 25 van de Leur, Johan W. 25 Zabrodin, Anton V. 24 D’Agnolo, Andrea 24 Kim, Jeong-Ah 24 Kim, Myungho 24 Sagaki, Daisuke 23 Takeuchi, Kiyoshi 22 He, Jingsong 21 Oaku, Toshinori 20 Kac, Victor 20 Kuniba, Atsuo 19 Cheng, Jipeng 18 Lee, Hyeonmi 18 Prelli, Luca 18 Salisbury, Ben 18 Tajima, Shinichi 18 Tingley, Peter W. 17 Brundan, Jonathan 17 Chari, Vyjayanthi 17 Leclerc, Bernard 17 Sabbah, Claude 17 Vasserot, Eric 16 Kapranov, Mikhail M. 16 Lenart, Cristian 16 Miwa, Tetsuji 16 Takasaki, Kanehisa 16 Walther, Uli 15 Barlet, Daniel 15 Oshima, Toshio 15 Williamson, Geordie 14 Cheng, Shun-Jen 14 Ginzburg, Victor 14 Harnad, John 14 Kamnitzer, Joel 14 Khovanov, Mikhail G. 14 Monteiro Fernandes, Maria Teresa de Lemos 14 Shimozono, Mark 14 Vilonen, Kari 13 Joseph, Anthony 13 Orlov, Aleksandr Yu. 13 Takagi, Taichiro 13 Tose, Nobuyuki 13 Varagnolo, Michela 12 Alekseev, Anton Yur’evich 12 Aoki, Takashi 12 Cheng, Yi 12 Helminck, Gerardus Franciscus 12 Jing, Naihuan 12 Kleshchev, Alexander S. 12 Kobayashi, Toshiyuki 12 Koshevoy, Gleb A. 12 Mazorchuk, Volodymyr 11 Adler, Mark 11 Ariki, Susumu 11 Cox, Ben Lewis 11 Finkelberg, Michael Vladlenovich 11 Futorny, Vyacheslav M. 11 Hu, Jun 11 Lam, Thomas F. 11 Lauda, Aaron D. 11 Ma, Wen-Xiu 11 Nakayama, Chikara 11 Nang, Philibert 11 Riche, Simon 11 Takayama, Nobuki 11 van Moerbeke, Pierre 11 Webster, Ben 11 Zampieri, Giuseppe 10 Assaf, Sami H. 10 Hernandez, David 10 Jakobsen, Hans Plesner 10 Jimbo, Michio 10 Kanakubo, Yuki 10 Kato, Syu 10 Lee, Kyu-Hwan 10 Maisonobe, Philippe 10 Marsh, Bethany Rose 10 Muro, Masakazu 10 Nakayashiki, Atsushi 9 Arakawa, Tomoyuki 9 Gerber, Thomas 9 Grantcharov, Dimitar ...and 2,963 more Authors all top 5 Cited in 330 Serials 285 Journal of Algebra 214 Advances in Mathematics 155 Publications of the Research Institute for Mathematical Sciences, Kyoto University 123 Duke Mathematical Journal 122 Communications in Mathematical Physics 109 Transactions of the American Mathematical Society 101 Journal of Mathematical Physics 96 Proceedings of the Japan Academy. 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