Edit Profile (opens in new tab) Kashiwara, Masaki Compute Distance To: Compute 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: 253 Publications since 1970, including 12 Books 13 Contributions as Editor · 3 Further Contributions Biographic References: 4 Publications Co-Authors: 89 Co-Authors with 205 Joint Publications 1,782 Co-Co-Authors all top 5 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 all top 5 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 all top 5 Fields 98 Nonassociative rings and algebras (17-XX) 86 Partial differential equations (35-XX) 72 Several complex variables and analytic spaces (32-XX) 61 Algebraic geometry (14-XX) 52 Global analysis, analysis on manifolds (58-XX) 34 Topological groups, Lie groups (22-XX) 29 Quantum theory (81-XX) 26 Functional analysis (46-XX) 23 Associative rings and algebras (16-XX) 23 Group theory and generalizations (20-XX) 20 Category theory; homological algebra (18-XX) 14 General and overarching topics; collections (00-XX) 11 Differential geometry (53-XX) 9 Combinatorics (05-XX) 8 Algebraic topology (55-XX) 7 Commutative algebra (13-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 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 0739.17005Kashiwara, M. 515 1991 Sheaves on manifolds. With a short history “Les débuts de la théorie des faisceaux” by Christian Houzel. Zbl 0709.18001Kashiwara, Masaki; Schapira, Pierre 301 1990 Microfunctions and pseudo-differential equations. Zbl 0277.46039Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 271 1973 Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005Kashiwara, Masaki; Nakashima, Toshiki 230 1994 Categories and sheaves. Zbl 1118.18001Kashiwara, Masaki; Schapira, Pierre 228 2006 Crystalizing the q-analogue of universal enveloping algebras. Zbl 0724.17009Kashiwara, Masaki 218 1990 The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008Kashiwara, Masaki 210 1993 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009Kashiwara, M.; Vergne, M. 185 1978 Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 170 1981 On crystal bases. Zbl 0851.17014Kashiwara, Masaki 160 1995 Kazhdan-Lusztig conjecture and holonomic systems. Zbl 0473.22009Brylinski, J. L.; Kashiwara, M. 159 1981 Affine crystals and vertex models. Zbl 0925.17005Kang, 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 0354.35082Kashiwara, Masaki 158 1976 Transformation groups for soliton equations. Zbl 0571.35098Date, Etsuro; Kashiwara, Masaki; Jimbo, Michio; Miwa, Tetsuji 119 1983 Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009Kashiwara, Masaki 119 1994 KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102Date, 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 0571.35100Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 116 1982 On level-zero representation of quantized affine algebras. Zbl 1033.17017Kashiwara, Masaki 116 2002 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033Kashiwara, Masaki; Kawai, Takahiro 114 1981 The Riemann-Hilbert problem for holonomic systems. Zbl 0566.32023Kashiwara, Masaki 113 1984 Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 112 1992 Global crystal bases of quantum groups. Zbl 0774.17018Kashiwara, Masaki 99 1993 Geometric construction of crystal bases. Zbl 0901.17006Kashiwara, Masaki; Saito, Yoshihisa 96 1997 Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy. Zbl 0571.35103Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji 94 1982 On the holonomic systems of linear differential equations. II. Zbl 0401.32005Kashiwara, Masaki 85 1978 Vanishing cycle sheaves and holonomic systems of differential equations. Zbl 0566.32022Kashiwara, M. 84 1983 On the maximally overdetermined system of linear differential equations. I. Zbl 0313.58019Kashiwara, Masaki 81 1975 Microlocal study of sheaves. Zbl 0589.32019Kashiwara, Masaki; Schapira, Pierre 71 1985 Eigenfunctions of invariant differential operators on a symmetric space. Zbl 0377.43012Kashiwara, M.; Kowata, A.; Minemura, K.; Okamoto, K.; Oshima, T.; Tanaka, M. 70 1978 Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011Akasaka, Tatsuya; Kashiwara, Masaki 69 1997 The invariant holonomic system on a semisimple Lie algebra. Zbl 0538.22013Hotta, R.; Kashiwara, M. 64 1984 \(D\)-modules and microlocal calculus. Translated from the Japanese by Mutsumi Saito. Zbl 1017.32012Kashiwara, Masaki 57 2003 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020Kashiwara, Masaki; Tanisaki, Toshiyuki 53 1995 Ind-sheaves. Zbl 0993.32009Kashiwara, Masaki; Schapira, Pierre 53 2001 Systems of differential equations with regular singularities and their boundary value problems. Zbl 0358.35073Kashiwara, Masaki; Oshima, Toshio 52 1977 Similarity of crystal bases. Zbl 0874.17028Kashiwara, Masaki 52 1996 Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T. 51 1980 Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. 51 1994 Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki 50 2000 Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017Kang, Seok-Jin; Kashiwara, Masaki 50 2012 Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski. Zbl 0521.58057Kashiwara, Masaki 49 1983 Micro-hyperbolic systems. Zbl 0413.35049Kashiwara, M.; Schapira, P. 47 1979 Monoidal categorification of cluster algebras. Zbl 1460.13039Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 46 2018 Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II. Zbl 0538.35066Date, Etsuro; Kashiwara, Masaki; Miwa, Tetsuji 43 1981 Realizations of crystals. Zbl 1066.17006Kashiwara, Masaki 42 2003 Deformation quantization modules. Zbl 1260.32001Kashiwara, Masaki; Schapira, Pierre 40 2012 A study of variation of mixed Hodge structure. Zbl 0621.14007Kashiwara, Masaki 38 1986 Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. Zbl 0492.58021Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki 38 1981 The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012Kashiwara, Masaki; Vergne, Michele 38 1978 Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060Kashiwara, Masaki; Schapira, Pierre 38 1996 Simplicity of heads and socles of tensor products. Zbl 1366.17014Kang, 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 1066.17007Kashiwara, Masaki 37 2002 Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras. Zbl 0571.35104Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji 36 1983 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 36 2015 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015Kashiwara, Masaki; Tanisaki, Toshiyuki 35 2002 Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013Kashiwara, M.; Miwa, T.; Stern, E. 35 1995 Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 33 2018 Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki 32 2005 The flag manifold of Kac-Moody Lie algebra. Zbl 0764.17019Kashiwara, M. 30 1989 Second-microlocalization and asymptotic expansions. Zbl 0458.46027Kashiwara, Masaki; Kawai, Takahiro 30 1980 Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066Kashiwara, 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 0877.35003Kashiwara, Masaki 29 1995 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005Kashiwara, Masaki; Kawai, Takahiro 28 1987 Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306Kashiwara, Masaki 28 2005 Index theorem for a maximally overdetermined system of linear differential equations. Zbl 0305.35073Kashiwara, Masaki 27 1973 Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo 26 1986 Quantization of contact manifolds. Zbl 0874.53027Kashiwara, Masaki 26 1996 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027Kashiwara, Masaki; Tanisaki, Toshiyuki 26 1996 On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028Kashiwara, Masaki; Kawai, Takahiro 26 1972 The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I. Zbl 0538.35065Kashiwara, Masaki; Miwa, Tetsuji 25 1981 Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux. Zbl 1336.17013Grantcharov, 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 0611.22008Kashiwara, M.; Tanisaki, T. 22 1984 Quiver Hecke superalgebras. Zbl 1360.17018Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke 22 2016 Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012Kang, 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 1073.14023Kashiwara, Masaki 21 2004 Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014Kashiwara, Masaki; Schmid, Wilfried 21 1994 Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre 21 2012 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009Kashiwara, Masaki; Tanisaki, Toshiyuki 20 2000 Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D. 20 2007 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 19 2016 Microlocalization of rational Cherednik algebras. Zbl 1147.14002Kashiwara, Masaki; Rouquier, Raphaël 19 2008 The asymptotic behavior of a variation of polarized Hodge structure. Zbl 0594.14012Kashiwara, Masaki 19 1985 Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014Kashiwara, 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 1159.17315Kashiwara, Masaki; Tanisaki, Toshiyuki 18 1998 Index theorem for constructible sheaves. Zbl 0568.32017Kashiwara, Masaki 17 1985 Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe. Zbl 0369.35061Kashiwara, Masaki; Schapira, Pierre 17 1978 Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 17 2008 Monoidal categorification and quantum affine algebras. Zbl 1497.17020Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 17 2020 Crystal bases for the quantum queer superalgebra. Zbl 1336.17014Grantcharov, 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 0743.17024Kashiwara, Masaki; Tanisaki, Toshiyuki 16 1990 On a class of linear partial differential equations whose formal solutions always converge. Zbl 0411.35003Kashiwara, Masaki; Kawai, Takahiro; Sjöstrand, Johannes 16 1979 Functions on the Shilov boundary of the generalized half plane. Zbl 0416.22006Kashiwara, M.; Vergne, M. 16 1979 Bases cristallines. (Crystal bases). Zbl 0724.17008Kashiwara, Masaki 15 1990 The determinant of matrices of pseudo-differential operators. Zbl 0337.35067Sato, Mikio; Kashiwara, Masaki 15 1975 On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067Kashiwara, Masaki; Kawai, Takahiro 14 1979 Representation theory and D-modules on flag varieties. Zbl 0705.22010Kashiwara, Masaki 14 1989 Irregular holonomic kernels and Laplace transform. Zbl 1337.32020Kashiwara, Masaki; Schapira, Pierre 14 2016 On the characteristic variety of a holonomic system with regular singularities. Zbl 0449.58019Kashiwara, Masaki; Kawai, Takahiro 13 1979 Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V. Zbl 0571.35101Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji 13 1982 Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010Kashiwara, Masaki 13 2008 Simply laced root systems arising from quantum affine algebras. Zbl 07481801Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 2 2022 Localizations for quiver Hecke algebras. Zbl 1495.18020Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 2 2021 Braid group action on the module category of quantum affine algebras. Zbl 07405602Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 1 2021 PBW theoretic approach to the module category of quantum affine algebras. Zbl 07405606Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 1 2021 Categories over quantum affine algebras and monoidal categorification. Zbl 07405607Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 1 2021 Piecewise linear sheaves. Zbl 1494.55010Kashiwara, Masaki; Schapira, Pierre 1 2021 Monoidal categorification and quantum affine algebras. Zbl 1497.17020Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 17 2020 Categorical relations between Langlands dual quantum affine algebras: doubly laced types. Zbl 1479.17027Kashiwara, Masaki; Oh, Se-jin 11 2019 Monoidal categories of modules over quantum affine algebras of type \(A\) and \(B\). Zbl 1472.17054Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin 8 2019 Enhanced perversities. Zbl 1423.32015D’Agnolo, Andrea; Kashiwara, Masaki 7 2019 Laurent phenomenon and simple modules of quiver Hecke algebras. Zbl 1505.13034Kashiwara, Masaki; Kim, Myungho 6 2019 Monoidal categorification of cluster algebras. Zbl 1460.13039Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 46 2018 Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 33 2018 Persistent homology and microlocal sheaf theory. Zbl 1423.55013Kashiwara, Masaki; Schapira, Pierre 9 2018 Monoidal categories associated with strata of flag manifolds. Zbl 1437.17005Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong 9 2018 Affinizations and R-matrices for quiver Hecke algebras. Zbl 1475.16024Kashiwara, Masaki; Park, Euiyong 7 2018 A microlocal approach to the enhanced Fourier-Sato transform in dimension one. Zbl 1410.32007D’Agnolo, Andrea; Kashiwara, Masaki 4 2018 Crystal bases and categorifications – Chern medal lecture. Zbl 1441.17014Kashiwara, Masaki 2 2018 Quiver Hecke superalgebras. Zbl 1360.17018Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke 22 2016 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 19 2016 Irregular holonomic kernels and Laplace transform. Zbl 1337.32020Kashiwara, Masaki; Schapira, Pierre 14 2016 Regular and irregular holonomic D-modules. Zbl 1354.32008Kashiwara, Masaki; Schapira, Pierre 12 2016 Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. Zbl 1351.32017D’Agnolo, Andrea; Kashiwara, Masaki 11 2016 Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules. Zbl 1351.32001Kashiwara, Masaki 6 2016 Self-dual t-structure. Zbl 1355.18008Kashiwara, Masaki 1 2016 Simplicity of heads and socles of tensor products. Zbl 1366.17014Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 38 2015 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 36 2015 Crystal bases for the quantum queer superalgebra. Zbl 1336.17014Grantcharov, 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 1322.81056Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 8 2015 Dual perfect bases and dual perfect graphs. Zbl 1383.17008Kahng, Byeong Hoon; Kang, Seok-Jin; Kashiwara, Masaki; Suh, Uhi Rinn 2 2015 Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux. Zbl 1336.17013Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 23 2014 Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007Kashiwara, Masaki; Vilonen, Kari 5 2014 Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin 22 2013 Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data. Zbl 1281.14011Kang, Seok-Jin; Kashiwara, Masaki; Park, Euiyong 3 2013 Categorification of highest weight modules over quantum generalized Kac-Moody algebras. Zbl 1290.05158Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-Jin 2 2013 Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017Kang, Seok-Jin; Kashiwara, Masaki 50 2012 Deformation quantization modules. Zbl 1260.32001Kashiwara, Masaki; Schapira, Pierre 40 2012 Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre 21 2012 Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras. Zbl 1252.05220Kashiwara, Masaki 10 2012 Geometric construction of highest weight crystals for quantum generalized Kac-Moody algebras. Zbl 1287.17032Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier 5 2012 Notes on parameters of quiver Hecke algebras. Zbl 1257.20005Kashiwara, Masaki 4 2012 On a reconstruction theorem for holonomic systems. Zbl 1266.32012D’Agnolo, Andrea; Kashiwara, Masaki 1 2012 On quantization of complex symplectic manifolds. Zbl 1252.53098D’Agnolo, Andrea; Kashiwara, Masaki 6 2011 Quantum queer superalgebra and crystal bases. Zbl 1237.17018Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 13 2010 Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 11 2010 On the codimension-three conjecture. Zbl 1225.32018Kashiwara, Masaki; Vilonen, Kari 2 2010 Equivariant \(K\)-theory of affine flag manifolds and affine Grothendieck polynomials. Zbl 1173.19004Kashiwara, Masaki; Shimozono, Mark 13 2009 Geometric construction of crystal bases for quantum generalized Kac-Moody algebras. Zbl 1234.17009Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier 9 2009 Modules over deformation quantization algebroids: An overview. Zbl 1196.53054Kashiwara, Masaki; Schapira, Pierre 2 2009 Microlocalization of rational Cherednik algebras. Zbl 1147.14002Kashiwara, Masaki; Rouquier, Raphaël 19 2008 Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 17 2008 Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010Kashiwara, Masaki 13 2008 Constructibility and duality for simple holonomic modules on complex symplectic manifolds. Zbl 1142.53071Kashiwara, Masaki; Schapira, Pierre 12 2008 Symmetric crystals for \(\mathfrak{gl}_{\infty}\). Zbl 1168.17008Enomoto, Naoya; Kashiwara, Masaki 7 2008 Symmetric crystals and LLTA type conjectures for the affine Hecke algebras of type \(B\). Zbl 1152.20004Enomoto, Naoya; Kashiwara, Masaki 3 2008 Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D. 20 2007 Abstract crystals for quantum generalized Kac-Moody algebras. Zbl 1130.17008Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki; Shin, Dong-Uy 11 2007 Crystals and affine Hecke algebras of type D. Zbl 1206.17014Kashiwara, Masaki; Miemietz, Vanessa 7 2007 Categories and sheaves. Zbl 1118.18001Kashiwara, Masaki; Schapira, Pierre 228 2006 Symmetric crystals and affine Hecke algebras of type \(B\). Zbl 1130.20008Kashiwara, Masaki; Enomoto, Naoya 8 2006 Microlocalization of ind-sheaves. Zbl 1098.35008Kashiwara, M.; Schapira, P.; Ivorra, F.; Waschkies, I. 3 2006 Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki 32 2005 Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306Kashiwara, Masaki 28 2005 \(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023Kashiwara, 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 1106.17016Feigin, 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 1017.32012Kashiwara, Masaki 57 2003 Realizations of crystals. Zbl 1066.17006Kashiwara, Masaki 42 2003 Microlocal study of ind-sheaves. I: Micro-support and regularity. Zbl 1053.35009Kashiwara, Masaki; Schapira, Pierre 12 2003 Involutivity of truncated microsupports. Zbl 1035.35003Kashiwara, Masaki; Monteiro Fernandes, Teresa; Schapira, Pierre 2 2003 Truncated microsupport and holomorphic solutions of \(D\)-modules. Zbl 1044.32003Kashiwara, Masaki; Monteiro Fernandes, Teresa; Schapira, Pierre 1 2003 On level-zero representation of quantized affine algebras. Zbl 1033.17017Kashiwara, Masaki 116 2002 Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007Kashiwara, Masaki 37 2002 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015Kashiwara, Masaki; Tanisaki, Toshiyuki 35 2002 Local cohomology and \(\mathcal D\)-affinity in positive characteristic. Zbl 1016.14009Kashiwara, Masaki; Lauritzen, Niels 11 2002 Ind-sheaves. Zbl 0993.32009Kashiwara, Masaki; Schapira, Pierre 53 2001 Micro-support and Cauchy problem for temperate solutions of regular \({\mathcal D}\)-modules. Zbl 1038.35006Fernandes, T. M.; Kashiwara, M.; Schapira, P. 3 2001 Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki 50 2000 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009Kashiwara, Masaki; Tanisaki, Toshiyuki 20 2000 Duality of D-modules on flag manifolds. Zbl 1018.22012Barlet, Daniel; Kashiwara, Masaki 2 2000 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315Kashiwara, Masaki; Tanisaki, Toshiyuki 18 1998 Semisimple holonomic \({\mathcal D}\)-modules. Zbl 0935.32009Kashiwara, Masaki 5 1998 Quantized affine algebras and crystals with core. Zbl 0929.17011Kang, 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 0958.01021Kashiwara, Masaki; Kawai, Takahiro; Yau, Shing-Tung 1 1998 Geometric construction of crystal bases. Zbl 0901.17006Kashiwara, Masaki; Saito, Yoshihisa 96 1997 Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011Akasaka, Tatsuya; Kashiwara, Masaki 69 1997 Integral transforms with exponential kernels and Laplace transform. Zbl 0888.32004Kashiwara, Masaki; Schapira, Pierre 8 1997 Laplace transform and Fourier-Sato transform. Zbl 0932.32015Kashiwara, Masaki; Schapira, Pierre 1 1997 Similarity of crystal bases. Zbl 0874.17028Kashiwara, Masaki 52 1996 Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060Kashiwara, Masaki; Schapira, Pierre 38 1996 Quantization of contact manifolds. Zbl 0874.53027Kashiwara, Masaki 26 1996 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027Kashiwara, Masaki; Tanisaki, Toshiyuki 26 1996 Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M. 19 1996 On crystal bases. Zbl 0851.17014Kashiwara, Masaki 160 1995 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020Kashiwara, Masaki; Tanisaki, Toshiyuki 53 1995 Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013Kashiwara, 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 0877.35003Kashiwara, Masaki 29 1995 Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005Kashiwara, Masaki; Nakashima, Toshiki 230 1994 Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009Kashiwara, Masaki 119 1994 Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. 51 1994 ...and 123 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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