Edit Profile (opens in new tab) Gyoja, Akihiko Co-Author Distance Author ID: gyoja.akihiko Published as: Gyoja, Akihiko; Gyoja, A. Documents Indexed: 43 Publications since 1979 4 Contributions as Editor · 1 Further Contribution Co-Authors: 12 Co-Authors with 12 Joint Publications 188 Co-Co-Authors all top 5 Co-Authors 36 single-authored 3 Nishiyama, Kyo 2 Kawanaka, Noriaki 2 Shinoda, Kenichi 2 Shoji, Toshiaki 2 Taniguchi, Kenji 2 Yamashita, Hiroshi 1 Asai, Teruaki 1 Borho, Walter 1 Brylinski, Jean-Luc 1 De Concini, Corrado 1 Denef, Jan 1 Hotta, Ryoshi 1 Kashiwara, Masaki 1 Kato, Shin-ichi 1 Lusztig, George 1 MacPherson, Robert Duncan 1 Nakajima, Hiraku 1 Omoda, Yasuhiro 1 Ono, Takashi 1 Procesi, Claudio 1 Spaltenstein, Nicolas 1 Springer, Tonny Albert 1 Tanisaki, Toshiyuki 1 Uno, Katsuhiro all top 5 Serials 8 RIMS Kokyuroku 5 Journal of Mathematics of Kyoto University 5 Journal of the Mathematical Society of Japan 5 Proceedings of the Japan Academy. Series A 4 Journal of Algebra 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Osaka Journal of Mathematics 3 Indagationes Mathematicae. New Series 2 Tsukuba Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Japanese Journal of Mathematics. New Series 1 Progress in Mathematics all top 5 Fields 24 Algebraic geometry (14-XX) 21 Group theory and generalizations (20-XX) 12 Number theory (11-XX) 12 Nonassociative rings and algebras (17-XX) 8 Topological groups, Lie groups (22-XX) 8 Several complex variables and analytic spaces (32-XX) 5 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Special functions (33-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Associative rings and algebras (16-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 211 times in 173 Documents Cited by ▼ Year ▼ A q-analogue of Young symmetrizer. Zbl 0644.20012 Gyoja, Akihiko 31 1986 Bernstein-Sato’s polynomial for several analytic functions. Zbl 0797.32007 Gyoja, Akihiko 23 1993 On the existence of a W-graph for an irreducible representation of a Coxeter group. Zbl 0537.20020 Gyoja, Akihiko 19 1984 Theory of prehomogeneous vector spaces without regularity condition. Zbl 0773.14025 Gyoja, Akihiko 19 1991 On the semisimplicity of Hecke algebras. Zbl 0647.20038 Gyoja, Akihiko; Uno, Katsuhiro 18 1989 Construction of invariants. Zbl 0746.20025 Gyoja, Akihiko 13 1990 Cells and modular representations of Hecke algebras. Zbl 0872.20040 Gyoja, Akihiko 12 1996 Highest weight modules and \(b\)-functions of semi-invariants. Zbl 0821.22006 Gyoja, Akihiko 11 1994 Modular representation theory over a ring of higher dimension with applications to Hecke algebras. Zbl 0833.20054 Gyoja, Akihiko 9 1995 Liftings of irreducible characters of finite reductive groups. Zbl 0416.20032 Gyoja, Akihiko 9 1979 Invariants for representations of Weyl groups and two-sided cells. Zbl 0928.20035 Gyoja, A.; Nishiyama, K.; Shimura, H. 8 1999 Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086 Denef, Jan; Gyoja, Akihiko 6 1998 Invariants, nilpotent orbits, and prehomogeneous vector spaces. Zbl 0742.17012 Gyoja, Akihiko 6 1991 A duality theorem for homomorphisms between generalized Verma modules. Zbl 0980.17004 Gyoja, Akihiko 4 2000 A theorem of Chevalley type for prehomogeneous vector spaces. Zbl 0846.17006 Gyoja, Akihiko 3 1996 Mixed Hodge theory and prehomogeneous vector spaces. Zbl 1044.14501 Gyoja, Akihiko 2 1997 Gauss sums of prehomogeneous vector spaces. Zbl 0565.14032 Gyoja, Akihiko; Kawanaka, Noriaki 2 1985 Lefschetz principle in the theory of prehomogeneous vector spaces. Zbl 0806.14040 Gyoja, Akihiko 2 1992 Local \(b\)-functions of prehomogeneous Lagrangians. Zbl 0889.14023 Gyoja, Akihiko 2 1993 Open problems in algebraic groups. Conference on algebraic groups and their representations, Katata, Japan, August 29 – September 3, 1983. Proceedings of the 12th Taniguchi international symposium. Zbl 1497.00007 2 1983 A generalized Poincaré series associated to a Hecke algebra of a finite or p-adic Chevalley group. Zbl 0546.20037 Gyoja, Akihiko 1 1983 A remark on homomorphisms between generalized Verma modules. Zbl 0834.17002 Gyoja, Akihiko 1 1994 Kawanaka invariants for representations of Weyl groups. Zbl 0946.20022 Gyoja, Akihiko; Nishiyama, Kyo; Taniguchi, Kenji 1 2000 Characteristic cycles of certain character sheaves. Zbl 1013.17017 Gyoja, Akihiko; Omoda, Yasuhiro 1 2001 Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Zbl 1206.17001 1 2010 Desingularization of Schubert varieties and orbit closures of prehomogeneous vector spaces of commutative parabolic type. Zbl 0940.14036 Gyoja, Akihiko 1 1998 Character sums and intersection cohomology complexes associated to the space of square matrices. Zbl 0921.11066 Gyoja, Akihiko 1 1997 Vector valued invariants of prehomogeneous vector spaces. Zbl 0702.20034 Gyoja, Akihiko 1 1991 A counterexample in the theory of prehomogeneous vector spaces. Zbl 0723.20024 Gyoja, Akihiko 1 1990 Theory of prehomogeneous vector spaces. II: A supplement. Zbl 0881.14019 Gyoja, Akihiko 1 1997 Further generalization of generalized Verma modules. Zbl 0810.17002 Gyoja, Akihiko 1 1993 A note on Jacobi sums. II. Zbl 0802.11040 Gyoja, Akihiko; Ono, Takashi 1 1993 Representation theory of algebraic groups and quantum groups. Based on the 6th international conference by the Graduate School of Mathematics on representation theory of algebraic groups and quantum groups, Nagoya, Japan, June 12–17, 2006. Zbl 1206.17001 1 2010 Characteristic cycles of certain character sheaves. Zbl 1013.17017 Gyoja, Akihiko; Omoda, Yasuhiro 1 2001 A duality theorem for homomorphisms between generalized Verma modules. Zbl 0980.17004 Gyoja, Akihiko 4 2000 Kawanaka invariants for representations of Weyl groups. Zbl 0946.20022 Gyoja, Akihiko; Nishiyama, Kyo; Taniguchi, Kenji 1 2000 Invariants for representations of Weyl groups and two-sided cells. Zbl 0928.20035 Gyoja, A.; Nishiyama, K.; Shimura, H. 8 1999 Character sums associated to prehomogeneous vector spaces. Zbl 0919.11086 Denef, Jan; Gyoja, Akihiko 6 1998 Desingularization of Schubert varieties and orbit closures of prehomogeneous vector spaces of commutative parabolic type. Zbl 0940.14036 Gyoja, Akihiko 1 1998 Mixed Hodge theory and prehomogeneous vector spaces. Zbl 1044.14501 Gyoja, Akihiko 2 1997 Character sums and intersection cohomology complexes associated to the space of square matrices. Zbl 0921.11066 Gyoja, Akihiko 1 1997 Theory of prehomogeneous vector spaces. II: A supplement. Zbl 0881.14019 Gyoja, Akihiko 1 1997 Cells and modular representations of Hecke algebras. Zbl 0872.20040 Gyoja, Akihiko 12 1996 A theorem of Chevalley type for prehomogeneous vector spaces. Zbl 0846.17006 Gyoja, Akihiko 3 1996 Modular representation theory over a ring of higher dimension with applications to Hecke algebras. Zbl 0833.20054 Gyoja, Akihiko 9 1995 Highest weight modules and \(b\)-functions of semi-invariants. Zbl 0821.22006 Gyoja, Akihiko 11 1994 A remark on homomorphisms between generalized Verma modules. Zbl 0834.17002 Gyoja, Akihiko 1 1994 Bernstein-Sato’s polynomial for several analytic functions. Zbl 0797.32007 Gyoja, Akihiko 23 1993 Local \(b\)-functions of prehomogeneous Lagrangians. Zbl 0889.14023 Gyoja, Akihiko 2 1993 Further generalization of generalized Verma modules. Zbl 0810.17002 Gyoja, Akihiko 1 1993 A note on Jacobi sums. II. Zbl 0802.11040 Gyoja, Akihiko; Ono, Takashi 1 1993 Lefschetz principle in the theory of prehomogeneous vector spaces. Zbl 0806.14040 Gyoja, Akihiko 2 1992 Theory of prehomogeneous vector spaces without regularity condition. Zbl 0773.14025 Gyoja, Akihiko 19 1991 Invariants, nilpotent orbits, and prehomogeneous vector spaces. Zbl 0742.17012 Gyoja, Akihiko 6 1991 Vector valued invariants of prehomogeneous vector spaces. Zbl 0702.20034 Gyoja, Akihiko 1 1991 Construction of invariants. Zbl 0746.20025 Gyoja, Akihiko 13 1990 A counterexample in the theory of prehomogeneous vector spaces. Zbl 0723.20024 Gyoja, Akihiko 1 1990 On the semisimplicity of Hecke algebras. Zbl 0647.20038 Gyoja, Akihiko; Uno, Katsuhiro 18 1989 A q-analogue of Young symmetrizer. Zbl 0644.20012 Gyoja, Akihiko 31 1986 Gauss sums of prehomogeneous vector spaces. Zbl 0565.14032 Gyoja, Akihiko; Kawanaka, Noriaki 2 1985 On the existence of a W-graph for an irreducible representation of a Coxeter group. Zbl 0537.20020 Gyoja, Akihiko 19 1984 Open problems in algebraic groups. Conference on algebraic groups and their representations, Katata, Japan, August 29 – September 3, 1983. Proceedings of the 12th Taniguchi international symposium. Zbl 1497.00007 2 1983 A generalized Poincaré series associated to a Hecke algebra of a finite or p-adic Chevalley group. Zbl 0546.20037 Gyoja, Akihiko 1 1983 Liftings of irreducible characters of finite reductive groups. Zbl 0416.20032 Gyoja, Akihiko 9 1979 all cited Publications top 5 cited Publications all top 5 Cited by 210 Authors 11 Gyoja, Akihiko 5 Kogiso, Takeyoshi 5 Lőrincz, András Cristian 4 Budur, Nero 4 Geck, Meinolf 4 Kimura, Tatsuo 4 Sato, Fumihiro 3 Chlouveraki, Maria 3 Opdam, Eric Marcus 3 Sugiyama, Kazunari 3 Takeuchi, Kiyoshi 3 van der Veer, Robin 3 Wu, Lei 3 Yin, Yunchuan 2 Adler, Jeffrey D. 2 Bahloul, Rouchdi 2 Chemla, Sophie 2 Di Trani, Sabino 2 Dunkl, Charles F. 2 Gomi, Yasushi 2 Gurevich, Dmitrii 2 Hahn, Johannes 2 He, Haian 2 Howlett, Robert B. 2 Ignatenko, V. F. 2 Kable, Anthony C. 2 Kamita, Atsushi 2 Kim, Sungsoon 2 Kobayashi, Miyuki 2 Lansky, Joshua M. 2 Leclerc, Bernard 2 Libgober, Anatoly S. 2 Maisonobe, Philippe 2 Marastoni, Corrado 2 Miyabe, Go 2 Nazarov, Maxim Leonidovich 2 Ochiai, Mitsuyuki 2 Ram, Arun 2 Reiner, Victor 2 Saponov, Pavel A. 2 Shoji, Toshiaki 2 Solleveld, Maarten 2 Sommers, Eric N. 2 Stembridge, John R. 2 Vinroot, C. Ryan 2 Wakatsuki, Satoshi 2 Wakayama, Masato 2 Wang, Chunhui 2 Wenzl, Hans 2 Xi, Nanhua 2 Zhou, Peng 1 Abebaw, Tilahun 1 Abel, Michael 1 Abuaf, Roland 1 Ahmed, Saber 1 Àlvarez Montaner, Josep 1 Amano, Katsutoshi 1 Andersen, Henning Haahr 1 Andersen, Jørgen Ellegaard 1 Armstrong, Drew 1 Atikaw, Sebsibew 1 Bath, Daniel 1 Bitoun, Thomas 1 Bogner, Christian 1 Bøgvad, Rikard 1 Bopp, Nicole 1 Bremke, Kirsten 1 Broué, Michel 1 Buciumas, Valentin 1 Cassou-Noguès, Pierrette 1 Ciubotaru, Dan 1 Cluckers, Raf 1 Coutinho, S. C. 1 de Haro, Sebastian 1 de Jeu, Marcel 1 Dietrich, Heiko 1 Dimca, Alexandru 1 Du, Jie 1 Duchamp, Gerard Henry Edmond 1 Fakiolas, A. P. 1 Flicker, Yuval Z. 1 Fock, Vladimir V. 1 Fujigami, Masaki 1 Giaquinto, Anthony 1 Gilman, Alex 1 Globke, Wolfgang 1 Gorsky, Eugene 1 Grantcharov, Dimitar 1 Grime, James 1 Guay, Nicolas 1 Guizzi, Valentina 1 Hadji, Richard J. 1 Hashimoto, Mitsuyasu 1 Hayashi, Takahiro 1 Heck, André 1 Henniart, Guy M. 1 Herremans, Adriaan 1 Hoffmann, Werner 1 Hogancamp, Matthew 1 Hu, Jun ...and 110 more Authors all top 5 Cited in 58 Serials 39 Journal of Algebra 9 Advances in Mathematics 7 Representation Theory 5 Inventiones Mathematicae 5 Nagoya Mathematical Journal 5 Proceedings of the Japan Academy. Series A 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Transformation Groups 5 Algebras and Representation Theory 4 Communications in Algebra 4 Communications in Mathematical Physics 4 Letters in Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Pure and Applied Algebra 4 Manuscripta Mathematica 4 Transactions of the American Mathematical Society 4 Indagationes Mathematicae. New Series 4 Selecta Mathematica. New Series 3 Mathematische Zeitschrift 3 Tôhoku Mathematical Journal. Second Series 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Journal of Combinatorial Theory. Series A 2 Algebraic & Geometric Topology 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 European Journal of Combinatorics 1 Journal of Symbolic Computation 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Linear Algebra and its Applications 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 Journal of the Australian Mathematical Society 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Commutative Algebra 1 Quantum Topology 1 Science China. Mathematics 1 Kyoto Journal of Mathematics all top 5 Cited in 27 Fields 87 Group theory and generalizations (20-XX) 46 Algebraic geometry (14-XX) 43 Nonassociative rings and algebras (17-XX) 30 Several complex variables and analytic spaces (32-XX) 29 Associative rings and algebras (16-XX) 26 Number theory (11-XX) 17 Combinatorics (05-XX) 17 Topological groups, Lie groups (22-XX) 14 Commutative algebra (13-XX) 13 Manifolds and cell complexes (57-XX) 11 Quantum theory (81-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 4 Category theory; homological algebra (18-XX) 4 Special functions (33-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Geometry (51-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) Citations by Year