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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: 261 Publications since 1970, including 24 Books Biographic References: 4 Publications all top 5 Co-Authors 64 single-authored 48 Kawai, Takahiro 39 Schapira, Pierre 26 Kang, Seok-Jin 22 Miwa, Tetsuji 17 Kim, Myungho 13 Oh, Se-jin 11 Tanisaki, Toshiyuki 10 Jimbo, Michio 9 Date, Etsuro 8 Oshima, Toshio 7 D’Agnolo, Andrea 7 Park, Euiyong 6 Nakashima, Toshiki 6 Sato, Mikio 5 Misra, Kailash C. 5 Monteiro Fernandes, Maria Teresa de Lemos 4 Vergne, Michèle 3 Brylinski, Jean-Luc 3 Enomoto, Naoya 3 Grantcharov, Dimitar 3 Jung, Ji Hye 3 Nakayashiki, Atsushi 3 Okado, Masato 2 Barlet, Daniel 2 Hotta, Ryoshi 2 Jeong, Kyeonghoon 2 Kimura, Tatsuo 2 Schiffmann, Olivier G. 2 Sjöstrand, Johannes 2 Stapp, Henry P. 2 Vilonen, Kari 1 Akasaka, Tatsuya 1 Aoki, Takashi 1 Arakawa, Tomoyuki 1 Benkart, Georgia M. 1 Dubson, Alberto S. 1 Feĭgin, Boris L’vovich 1 Guillemin, Victor W. 1 Guillermou, Stéphane 1 Hasegawa, Masahito 1 Ivorra, Florian 1 Kahng, Byeong Hoon 1 Kawanaka, Noriaki 1 Kobayashi, Toshiyuki 1 Koike, Kazuhiko 1 Kowata, Atsutaka 1 Kumagai, Takashi 1 Lauritzen, Niels 1 Lusztig, George 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 Nishiyama, Kyo 1 Okada, Soichi 1 Okamoto, Kiyosato 1 Ono, Kaoru 1 Ozawa, Narutaka 1 Petersen, Jens-Ulrik H. 1 Rouquier, Raphaël 1 Saito, Kyoji 1 Saito, Yoshihisa 1 Satake, Ikuo 1 Schmid, Wilfried 1 Shimozono, Mark 1 Shin, Dong-Uy 1 Shinoda, Kenichi 1 Shoji, Toshiaki 1 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 1 Yung, C. M. 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 Sūgaku 5 Selecta Mathematica. New Series 4 Compositio Mathematica 4 Proceedings of the London Mathematical Society. Third Series 4 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Algebra 3 Journal of the American Mathematical Society 3 IMRN. International Mathematics Research Notices 3 Annals of Mathematics. Second Series 3 Moscow Mathematical Journal 3 Advanced Studies in Pure Mathematics 3 Astérisque 3 Progress in Mathematics 2 Bulletin de la Société Mathématique de France 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Transactions of the American Mathematical Society 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Séminaire Équations aux Dérivées Partielles 2 The Asian Journal of Mathematics 2 RIMS Kokyuroku 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Physical Society of Japan 2 Grundlehren der Mathematischen Wissenschaften 1 International Journal of Modern Physics A 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Arkiv för Matematik 1 Acta Mathematica 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications Mathématiques 1 Journal of the Faculty of Science. Section I A 1 Mathematische Annalen 1 European Journal of Combinatorics 1 Physica D 1 Sugaku Expositions 1 L’Enseignement Mathématique. 2e Série 1 Journal of Physics A: Mathematical and General 1 Journal of Algebraic Combinatorics 1 Representation Theory 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Annals of Mathematics Studies 1 Institut Élie Cartan, Université de Nancy I 1 London Mathematical Society Lecture Note Series 1 Monographies de l’Enseignement Mathématique 1 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 all top 5 Fields 94 Nonassociative rings and algebras (17-XX) 85 Partial differential equations (35-XX) 70 Several complex variables and analytic spaces (32-XX) 59 Algebraic geometry (14-XX) 51 Global analysis, analysis on manifolds (58-XX) 33 Topological groups, Lie groups (22-XX) 27 Quantum theory (81-XX) 25 Functional analysis (46-XX) 20 Category theory; homological algebra (18-XX) 19 Group theory and generalizations (20-XX) 18 Associative rings and algebras (16-XX) 13 General and overarching topics; collections (00-XX) 11 Differential geometry (53-XX) 9 Combinatorics (05-XX) 7 Commutative algebra (13-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Algebraic topology (55-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 214 Publications have been cited 6,519 times in 3,323 Documents Cited by ▼ Year ▼ On crystal bases of the \(q\)-analogue of universal enveloping algebras. Zbl 0739.17005Kashiwara, M. 469 1991 Sheaves on manifolds. With a short history “Les débuts de la théorie des faisceaux” by Christian Houzel. Zbl 0709.18001Kashiwara, Masaki; Schapira, Pierre 272 1990 Microfunctions and pseudo-differential equations. Zbl 0277.46039Sato, Mikio; Kawai, Takahiro; Kashiwara, Masaki 266 1973 Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005Kashiwara, Masaki; Nakashima, Toshiki 212 1994 Crystalizing the q-analogue of universal enveloping algebras. Zbl 0724.17009Kashiwara, Masaki 191 1990 The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008Kashiwara, Masaki 182 1993 Categories and sheaves. Zbl 1118.18001Kashiwara, Masaki; Schapira, Pierre 175 2006 On the Segal-Shale-Weil representations and harmonic polynomials. Zbl 0375.22009Kashiwara, M.; Vergne, M. 173 1978 Operator approach to the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. III. Zbl 0571.35099Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 148 1981 Affine crystals and vertex models. Zbl 0925.17005Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 147 1992 Kazhdan-Lusztig conjecture and holonomic systems. Zbl 0473.22009Brylinski, J. L.; Kashiwara, M. 147 1981 On crystal bases. Zbl 0851.17014Kashiwara, Masaki 145 1995 B-functions and holonomic systems. Rationality of roots of B-functions. Zbl 0354.35082Kashiwara, Masaki 140 1976 Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009Kashiwara, Masaki 109 1994 KP hierarchies of orthogonal and symplectic type. Transformation groups for soliton equations. VI. Zbl 0571.35102Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. 107 1981 On holonomic systems of microdifferential equations. III: Systems with regular singularities. Zbl 0505.58033Kashiwara, Masaki; Kawai, Takahiro 106 1981 On level-zero representation of quantized affine algebras. Zbl 1033.17017Kashiwara, Masaki 103 2002 Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 103 1992 The Riemann-Hilbert problem for holonomic systems. Zbl 0566.32023Kashiwara, Masaki 103 1984 Transformation groups for soliton equations. Zbl 0571.35098Date, Etsuro; Kashiwara, Masaki; Jimbo, Michio; Miwa, Tetsuji 101 1983 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. 100 1982 Global crystal bases of quantum groups. Zbl 0774.17018Kashiwara, Masaki 88 1993 Geometric construction of crystal bases. Zbl 0901.17006Kashiwara, Masaki; Saito, Yoshihisa 87 1997 On the holonomic systems of linear differential equations. II. Zbl 0401.32005Kashiwara, Masaki 81 1978 Transformation groups for soliton equations. Euclidean Lie algebras and reduction of the KP hierarchy. Zbl 0571.35103Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji 81 1982 On the maximally overdetermined system of linear differential equations. I. Zbl 0313.58019Kashiwara, Masaki 71 1975 Vanishing cycle sheaves and holonomic systems of differential equations. Zbl 0566.32022Kashiwara, M. 71 1983 Microlocal study of sheaves. Zbl 0589.32019Kashiwara, Masaki; Schapira, Pierre 67 1985 Eigenfunctions of invariant differential operators on a symmetric space. Zbl 0377.43012Kashiwara, M.; Kowata, A.; Minemura, K.; Okamoto, K.; Oshima, T.; Tanaka, M. 66 1978 Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011Akasaka, Tatsuya; Kashiwara, Masaki 62 1997 The invariant holonomic system on a semisimple Lie algebra. Zbl 0538.22013Hotta, R.; Kashiwara, M. 59 1984 Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. 49 1994 Systems of differential equations with regular singularities and their boundary value problems. Zbl 0358.35073Kashiwara, Masaki; Oshima, Toshio 49 1977 Similarity of crystal bases. Zbl 0874.17028Kashiwara, Masaki 47 1996 \(D\)-modules and microlocal calculus. Translated from the Japanese by Mutsumi Saito. Zbl 1017.32012Kashiwara, Masaki 46 2003 Ind-sheaves. Zbl 0993.32009Kashiwara, Masaki; Schapira, Pierre 46 2001 Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki 46 2000 Micro-local analysis of prehomogeneous vector spaces. Zbl 0456.58034Sato, M.; Kashiwara, M.; Kimura, T.; Oshima, T. 46 1980 Systems of microdifferential equations. Notes and transl. by Teresa Monteiro Fernandes. Introd. by Jean-Luc Brylinski. Zbl 0521.58057Kashiwara, Masaki 45 1983 Micro-hyperbolic systems. Zbl 0413.35049Kashiwara, M.; Schapira, P. 45 1979 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020Kashiwara, Masaki; Tanisaki, Toshiyuki 44 1995 Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017Kang, Seok-Jin; Kashiwara, Masaki 44 2012 Realizations of crystals. Zbl 1066.17006Kashiwara, Masaki 39 2003 Vertex operators and \(\tau\)-functions. Transformation groups for soliton equations. II. Zbl 0538.35066Date, Etsuro; Kashiwara, Masaki; Miwa, Tetsuji 37 1981 A study of variation of mixed Hodge structure. Zbl 0621.14007Kashiwara, Masaki 36 1986 Decomposition of \(q\)-deformed Fock spaces. Zbl 0857.17013Kashiwara, M.; Miwa, T.; Stern, E. 35 1995 The Campbell-Hausdorff formula and invariant hyperfunctions. Zbl 0404.22012Kashiwara, Masaki; Vergne, Michele 35 1978 Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060Kashiwara, Masaki; Schapira, Pierre 34 1996 Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007Kashiwara, Masaki 33 2002 Monoidal categorification of cluster algebras. Zbl 1460.13039Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 33 2018 Deformation quantization modules. Zbl 1260.32001Kashiwara, Masaki; Schapira, Pierre 32 2012 Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras. Zbl 0571.35104Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji 32 1983 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015Kashiwara, Masaki; Tanisaki, Toshiyuki 31 2002 Crystal bases for quantum generalized Kac-Moody algebras. Zbl 1085.17009Jeong, Kyeonghoon; Kang, Seok-Jin; Kashiwara, Masaki 30 2005 Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. Zbl 0492.58021Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki 30 1981 Micro-hyperbolic pseudo-differential operators. I. Zbl 0305.35066Kashiwara, Masaki; Kawai, Takahiro 29 1975 The flag manifold of Kac-Moody Lie algebra. Zbl 0764.17019Kashiwara, M. 29 1989 Simplicity of heads and socles of tensor products. Zbl 1366.17014Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 29 2015 Second-microlocalization and asymptotic expansions. Zbl 0458.46027Kashiwara, Masaki; Kawai, Takahiro 28 1980 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 27 1995 Foundations of algebraic analysis. Transl. from the Japanese by Goro Kato. Zbl 0605.35001Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo 26 1986 On the boundary value problem for elliptic system of linear differential equations. I. Zbl 0271.35028Kashiwara, Masaki; Kawai, Takahiro 26 1972 Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306Kashiwara, Masaki 25 2005 Quantization of contact manifolds. Zbl 0874.53027Kashiwara, Masaki 24 1996 The Poincaré lemma for variations of polarized Hodge structure. Zbl 0629.14005Kashiwara, Masaki; Kawai, Takahiro 24 1987 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 24 2015 Index theorem for a maximally overdetermined system of linear differential equations. Zbl 0305.35073Kashiwara, Masaki 22 1973 The \(\tau\)-function of the Kadomtsev-Petviashvili equation. Transformation groups for soliton equations. I. Zbl 0538.35065Kashiwara, Masaki; Miwa, Tetsuji 22 1981 The characteristic cycles of holonomic systems on a flag manifold related to the Weyl group algebra. Zbl 0611.22008Kashiwara, M.; Tanisaki, T. 21 1984 Quiver Hecke superalgebras. Zbl 1360.17018Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke 21 2016 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027Kashiwara, Masaki; Tanisaki, Toshiyuki 20 1996 Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 20 2018 Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D. 19 2007 Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014Kashiwara, Masaki; Schmid, Wilfried 18 1994 \(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023Kashiwara, Masaki 18 2004 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009Kashiwara, Masaki; Tanisaki, Toshiyuki 18 2000 Microlocalization of rational Cherednik algebras. Zbl 1147.14002Kashiwara, Masaki; Rouquier, Raphaël 18 2008 Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M. 17 1996 Problème de Cauchy pour les systèmes microdifferentiels dans le domaine complexe. Zbl 0369.35061Kashiwara, Masaki; Schapira, Pierre 17 1978 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 17 2014 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 Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin 16 2013 The asymptotic behavior of a variation of polarized Hodge structure. Zbl 0594.14012Kashiwara, Masaki 16 1985 Kazhdan-Lusztig conjecture for symmetrizable Kac-Moody Lie algebras. III: Positive rational case. Zbl 1159.17315Kashiwara, Masaki; Tanisaki, Toshiyuki 15 1998 Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 15 2008 The determinant of matrices of pseudo-differential operators. Zbl 0337.35067Sato, Mikio; Kashiwara, Masaki 14 1975 Index theorem for constructible sheaves. Zbl 0568.32017Kashiwara, Masaki 14 1985 Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre 13 2012 Crystal bases for the quantum queer superalgebra. Zbl 1336.17014Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 13 2015 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 Microlocal study of ind-sheaves. I: Micro-support and regularity. Zbl 1053.35009Kashiwara, Masaki; Schapira, Pierre 12 2003 Bases cristallines. (Crystal bases). Zbl 0724.17008Kashiwara, Masaki 12 1990 Kazhdan-Lusztig conjecture for a symmetrizable Kac-Moody Lie algebra. Zbl 0727.17013Kashiwara, Masaki 12 1990 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. IV. Zbl 1354.81030Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 12 2016 Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010Kashiwara, Masaki 12 2008 On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\). Zbl 0449.35067Kashiwara, Masaki; Kawai, Takahiro 12 1979 Equivariant \(K\)-theory of affine flag manifolds and affine Grothendieck polynomials. Zbl 1173.19004Kashiwara, Masaki; Shimozono, Mark 11 2009 Monoidal categorification and quantum affine algebras. Zbl 07206132Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin; Park, Euiyong 4 2020 Enhanced perversities. Zbl 1423.32015D’Agnolo, Andrea; Kashiwara, Masaki 5 2019 Categorical relations between Langlands dual quantum affine algebras: doubly laced types. Zbl 07082926Kashiwara, Masaki; Oh, Se-jin 5 2019 Monoidal categories of modules over quantum affine algebras of type \(A\) and \(B\). Zbl 1472.17054Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin 4 2019 Laurent phenomenon and simple modules of quiver Hecke algebras. Zbl 07118443Kashiwara, Masaki; Kim, Myungho 3 2019 Monoidal categorification of cluster algebras. Zbl 1460.13039Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 33 2018 Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras. Zbl 1407.81108Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 20 2018 Monoidal categories associated with strata of flag manifolds. Zbl 1437.17005Kashiwara, Masaki; Kim, Myungho; Oh, Se-jin; Park, Euiyong 6 2018 Affinizations and R-matrices for quiver Hecke algebras. Zbl 06873474Kashiwara, Masaki; Park, Euiyong 6 2018 Persistent homology and microlocal sheaf theory. Zbl 1423.55013Kashiwara, Masaki; Schapira, Pierre 4 2018 A microlocal approach to the enhanced Fourier-Sato transform in dimension one. Zbl 1410.32007D’Agnolo, Andrea; Kashiwara, Masaki 3 2018 Quiver Hecke superalgebras. Zbl 1360.17018Kang, Seok-Jin; Kashiwara, Masaki; Tsuchioka, Shunsuke 21 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 12 2016 Irregular holonomic kernels and Laplace transform. Zbl 1337.32020Kashiwara, Masaki; Schapira, Pierre 11 2016 Regular and irregular holonomic D-modules. Zbl 1354.32008Kashiwara, Masaki; Schapira, Pierre 10 2016 Riemann-Hilbert correspondence for holonomic \(\mathcal{D}\)-modules. Zbl 1351.32017D’Agnolo, Andrea; Kashiwara, Masaki 8 2016 Riemann-Hilbert correspondence for irregular holonomic \({\mathcal{D}}\)-modules. Zbl 1351.32001Kashiwara, Masaki 5 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 29 2015 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. II. Zbl 1323.81046Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 24 2015 Crystal bases for the quantum queer superalgebra. Zbl 1336.17014Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 13 2015 Symmetric quiver Hecke algebras and \(R\)-matrices of quantum affine algebras. III. Zbl 1322.81056Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho; Oh, Se-Jin 7 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 17 2014 Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007Kashiwara, Masaki; Vilonen, Kari 4 2014 Supercategorification of quantum Kac-Moody algebras. I, II. Zbl 1304.17012Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-jin 16 2013 Geometric realization of Khovanov-Lauda-Rouquier algebras associated with Borcherds-Cartan data. Zbl 1281.14011Kang, Seok-Jin; Kashiwara, Masaki; Park, Euiyong 2 2013 Categorification of highest weight modules over quantum generalized Kac-Moody algebras. Zbl 1290.05158Kang, Seok-Jin; Kashiwara, Masaki; Oh, Se-Jin 1 2013 Categorification of highest weight modules via Khovanov-Lauda-Rouquier algebras. Zbl 1280.17017Kang, Seok-Jin; Kashiwara, Masaki 44 2012 Deformation quantization modules. Zbl 1260.32001Kashiwara, Masaki; Schapira, Pierre 32 2012 Sheaf quantization of Hamiltonian isotopies and applications to nondisplaceability problems. Zbl 1242.53108Guillermou, Stéphane; Kashiwara, Masaki; Schapira, Pierre 13 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 3 2011 Quantum queer superalgebra and crystal bases. Zbl 1237.17018Grantcharov, Dimitar; Jung, Ji Hye; Kang, Seok-Jin; Kashiwara, Masaki; Kim, Myungho 10 2010 Tropical \(R\) maps and affine geometric crystals. Zbl 1220.17006Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 10 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 11 2009 Geometric construction of crystal bases for quantum generalized Kac-Moody algebras. Zbl 1234.17009Kang, Seok-Jin; Kashiwara, Masaki; Schiffmann, Olivier 7 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 18 2008 Affine geometric crystals and limit of perfect crystals. Zbl 1219.17010Kashiwara, Masaki; Nakashima, Toshiki; Okado, Masato 15 2008 Equivariant derived category and representation of real semisimple Lie groups. Zbl 1173.22010Kashiwara, Masaki 12 2008 Constructibility and duality for simple holonomic modules on complex symplectic manifolds. Zbl 1142.53071Kashiwara, Masaki; Schapira, Pierre 8 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 2 2008 Perfect crystals for \(U_q(D_4^{(3)})\). Zbl 1140.17012Kashiwara, M.; Misra, K. C.; Okado, M.; Yamada, D. 19 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 6 2007 Categories and sheaves. Zbl 1118.18001Kashiwara, Masaki; Schapira, Pierre 175 2006 Symmetric crystals and affine Hecke algebras of type \(B\). Zbl 1130.20008Kashiwara, Masaki; Enomoto, Naoya 7 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 30 2005 Level zero fundamental representations over quantized affine algebras and Demazure modules. Zbl 1147.17306Kashiwara, Masaki 25 2005 \(t\)-structures on the derived categories of holonomic \({\mathcal D}\)-modules and coherent \({\mathcal O}\)-modules. Zbl 1073.14023Kashiwara, Masaki 18 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 46 2003 Realizations of crystals. Zbl 1066.17006Kashiwara, Masaki 39 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 103 2002 Crystalline bases of quantum groups. Edited by Charles Cochet. (Bases cristallines des groupes quantiques.) Zbl 1066.17007Kashiwara, Masaki 33 2002 Parabolic Kazhdan-Lusztig polynomials and Schubert varieties. Zbl 1021.17015Kashiwara, Masaki; Tanisaki, Toshiyuki 31 2002 Local cohomology and \(\mathcal D\)-affinity in positive characteristic. Zbl 1016.14009Kashiwara, Masaki; Lauritzen, Niels 9 2002 Ind-sheaves. Zbl 0993.32009Kashiwara, Masaki; Schapira, Pierre 46 2001 Micro-support and Cauchy problem for temperate solutions of regular \({\mathcal D}\)-modules. Zbl 1038.35006Fernandes, T. M.; Kashiwara, M.; Schapira, P. 2 2001 Crystal bases for the quantum superalgebra \(U_q(\mathfrak{gl}(m,n))\). Zbl 0963.17010Benkart, Georgia; Kang, Seok-Jin; Kashiwara, Masaki 46 2000 Characters of irreducible modules with non-critical highest weights over affine Lie algebras. Zbl 1002.17009Kashiwara, Masaki; Tanisaki, Toshiyuki 18 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 15 1998 Semisimple holonomic \({\mathcal D}\)-modules. Zbl 0935.32009Kashiwara, Masaki 4 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 0905.00081Kashiwara, Masaki; Matsuo, Atsushi; Saito, Kyoji; Satake, Ikuo 1 1998 Geometric construction of crystal bases. Zbl 0901.17006Kashiwara, Masaki; Saito, Yoshihisa 87 1997 Finite-dimensional representations of quantum affine algebras. Zbl 0915.17011Akasaka, Tatsuya; Kashiwara, Masaki 62 1997 Integral transforms with exponential kernels and Laplace transform. Zbl 0888.32004Kashiwara, Masaki; Schapira, Pierre 6 1997 Laplace transform and Fourier-Sato transform. Zbl 0932.32015Kashiwara, Masaki; Schapira, Pierre 1 1997 Similarity of crystal bases. Zbl 0874.17028Kashiwara, Masaki 47 1996 Moderate and formal cohomology associated with constructible sheaves. Zbl 0881.58060Kashiwara, Masaki; Schapira, Pierre 34 1996 Quantization of contact manifolds. Zbl 0874.53027Kashiwara, Masaki 24 1996 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. II: Nonintegral case. Zbl 0929.17027Kashiwara, Masaki; Tanisaki, Toshiyuki 20 1996 Perfect crystals and \(q\)-deformed Fock spaces. Zbl 0959.17014Kashiwara, M.; Miwa, T.; Petersen, J.-U. H.; Yung, C. M. 17 1996 On crystal bases. Zbl 0851.17014Kashiwara, Masaki 145 1995 Kazhdan-Lusztig conjecture for affine Lie algebras with negative level. Zbl 0829.17020Kashiwara, Masaki; Tanisaki, Toshiyuki 44 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 27 1995 Crystal graphs for representations of the \(q\)-analogue of classical Lie algebras. Zbl 0808.17005Kashiwara, Masaki; Nakashima, Toshiki 212 1994 Crystal bases of modified quantized enveloping algebra. Zbl 0794.17009Kashiwara, Masaki 109 1994 Crystal bases of Verma modules for quantum affine Lie algebras. Zbl 0808.17007Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C. 49 1994 Quasi-equivariant \({\mathcal D}\)-modules, equivariant derived category, and representations of reductive Lie groups. Zbl 0854.22014Kashiwara, Masaki; Schmid, Wilfried 18 1994 Characters of the negative level highest-weight modules for affine Lie algebras. Zbl 0838.17022Kashiwara, Masaki; Tanisaki, Toshiyuki 1 1994 The crystal base and Littelmann’s refined Demazure character formula. Zbl 0794.17008Kashiwara, Masaki 182 1993 Global crystal bases of quantum groups. Zbl 0774.17018Kashiwara, Masaki 88 1993 \(D\)-modules and representation theory of Lie groups. Zbl 0823.22013Kashiwara, Masaki 4 1993 Affine crystals and vertex models. Zbl 0925.17005Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 147 1992 Perfect crystals of quantum affine Lie algebras. Zbl 0774.17017Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 103 1992 Vertex models and crystals. Zbl 0776.17008Kang, Seok-Jin; Kashiwara, Masaki; Misra, Kailash C.; Miwa, Tetsuji; Nakashima, Toshiki; Nakayashiki, Atsushi 5 1992 ...and 114 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,492 Authors 116 Kashiwara, Masaki 46 Kawai, Takahiro 44 Kang, Seok-Jin 34 Schapira, Pierre 32 Kwon, Jae-Hoon 32 Scrimshaw, Travis 29 Okado, Masato 28 Schilling, Anne 27 Naito, Satoshi 27 Oh, Se-jin 25 Misra, Kailash C. 25 Saito, Morihiko 24 Wang, Weiqiang 23 D’Agnolo, Andrea 23 Lecouvey, Cédric 23 Sagaki, Daisuke 23 Shin, Dong-Uy 22 Kim, Jeong-Ah 22 Nakashima, Toshiki 21 Kim, Myungho 21 Oaku, Toshinori 20 Park, Euiyong 20 van de Leur, Johan W. 19 Kuniba, Atsuo 19 Takeuchi, Kiyoshi 17 Lee, Hyeonmi 16 Brundan, Jonathan 16 Kac, Victor G. 16 Miwa, Tetsuji 16 Prelli, Luca 16 Salisbury, Ben 16 Tingley, Peter W. 15 Chari, Vyjayanthi 15 Leclerc, Bernard 15 Takasaki, Kanehisa 14 Barlet, Daniel 14 Ginzburg, Victor 14 He, Jingsong 14 Lenart, Cristian 14 Oshima, Toshio 14 Shimozono, Mark 14 Tajima, Shinichi 14 Vasserot, Eric 13 Helminck, Gerardus Franciscus 13 Tose, Nobuyuki 12 Alekseev, Anton Yu. 12 Aoki, Takashi 12 Cheng, Shun-Jen 12 Harnad, John 12 Jing, Naihuan 12 Joseph, Anthony 12 Kapranov, Mikhail M. 12 Monteiro Fernandes, Maria Teresa de Lemos 12 Orlov, Aleksandr Yu. 12 Sabbah, Claude 12 Walther, Uli 11 Adler, Mark 11 Cheng, Jipeng 11 Kamnitzer, Joel 11 Khovanov, Mikhail G. 11 Lam, Thomas F. 11 Nang, Philibert 11 Takagi, Taichiro 11 van Moerbeke, Pierre 11 Vilonen, Kari 11 Williamson, Geordie 11 Zampieri, Giuseppe 10 Cox, Ben Lewis 10 Jimbo, Michio 10 Kato, Syu 10 Kleshchev, Alexander S. 10 Kobayashi, Toshiyuki 10 Lauda, Aaron D. 10 Marsh, Robert James 10 Mazorchuk, Volodymyr 10 Muro, Masakazu 10 Nakayama, Chikara 10 Nakayashiki, Atsushi 10 Varagnolo, Michela 9 Arakawa, Tomoyuki 9 Ariki, Susumu 9 Finkelberg, Michael Vladlenovich 9 Kato, Kazuya 9 Laurent, Yves 9 Li, Chuanzhong 9 Maisonobe, Philippe 9 Nadler, David 9 Nishiyama, Kyo 9 Sakamoto, Reiho 9 Takayama, Nobuki 9 Webster, Ben 9 Yekutieli, Amnon 9 Zhu, Chen-Bo 8 Baumann, Pierre 8 Collingwood, David H. 8 Fourier, Ghislain 8 Grantcharov, Dimitar 8 Hernandez, David 8 Howe, Roger Evans 8 Jakobsen, Hans Plesner ...and 2,392 more Authors all top 5 Cited in 283 Serials 256 Journal of Algebra 183 Advances in Mathematics 141 Publications of the Research Institute for Mathematical Sciences, Kyoto University 119 Duke Mathematical Journal 108 Communications in Mathematical Physics 102 Transactions of the American Mathematical Society 94 Proceedings of the Japan Academy. 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English Series 5 Central European Journal of Mathematics ...and 183 more Serials all top 5 Cited in 58 Fields 1,181 Nonassociative rings and algebras (17-XX) 829 Algebraic geometry (14-XX) 548 Partial differential equations (35-XX) 520 Several complex variables and analytic spaces (32-XX) 439 Group theory and generalizations (20-XX) 430 Combinatorics (05-XX) 403 Topological groups, Lie groups (22-XX) 341 Associative rings and algebras (16-XX) 341 Quantum theory (81-XX) 296 Dynamical systems and ergodic theory (37-XX) 266 Global analysis, analysis on manifolds (58-XX) 249 Category theory; homological algebra (18-XX) 172 Differential geometry (53-XX) 164 Commutative algebra (13-XX) 151 Number theory (11-XX) 107 Functional analysis (46-XX) 80 Special functions (33-XX) 80 Abstract harmonic analysis (43-XX) 76 Statistical mechanics, structure of matter (82-XX) 73 Manifolds and cell complexes (57-XX) 72 Algebraic topology (55-XX) 54 Ordinary differential equations (34-XX) 46 Operator theory (47-XX) 45 Computer science (68-XX) 37 Linear and multilinear algebra; matrix theory (15-XX) 34 \(K\)-theory (19-XX) 27 Functions of a complex variable (30-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 22 Integral transforms, operational calculus (44-XX) 21 Convex and discrete geometry (52-XX) 20 Probability theory and stochastic processes (60-XX) 18 Mathematical logic and foundations (03-XX) 18 Difference and functional equations (39-XX) 17 Order, lattices, ordered algebraic structures (06-XX) 16 Relativity and gravitational theory (83-XX) 9 Field theory and polynomials (12-XX) 9 Mechanics of particles and systems (70-XX) 9 Fluid mechanics (76-XX) 9 Systems theory; control (93-XX) 7 Numerical analysis (65-XX) 6 Potential theory (31-XX) 6 Approximations and expansions (41-XX) 6 Geometry (51-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 General topology (54-XX) 4 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Statistics (62-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Integral equations (45-XX) 2 Mechanics of deformable solids (74-XX) 1 General algebraic systems (08-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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