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## Sekiguchi, Jiro

Compute Distance To:
 Author ID: sekiguchi.jiro Published as: Sekiguchi, Jiro; Sekiguchi, J.; Sekiguchi, Jirō
 Documents Indexed: 67 Publications since 1976, including 1 Book
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#### Co-Authors

 36 single-authored 8 Kato, Mitsuo 5 Mano, Toshiyuki 5 Yano, Tamaki 4 Oshima, Toshio 3 Đoković, Dragomir Ž. 2 Fukui, Tetsuo 1 Aleksandrov, Aleksandr Grigor’evich 1 Bannai, Eiichi 1 Koike, Masao 1 Lemire, Nicole Marie Anne 1 Munemasa, Akihiro 1 Nagano, Tadashi 1 Nakayama, Hiromasa 1 Naruki, Isao 1 Saito, Kyoji 1 Sano, Shigeru 1 Shimizu, Yasuhiro 1 Takayama, Nobuki 1 Yoshida, Masaaki
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#### Serials

 6 Journal of the Mathematical Society of Japan 5 Proceedings of the Japan Academy. Series A 5 Kyushu Journal of Mathematics 4 Tokyo Journal of Mathematics 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 RIMS Kokyuroku 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Tohoku Mathematical Journal. Second Series 2 Kumamoto Journal of Mathematics 2 The Science Reports of Saitama University. Series A. Mathematics, Physics, Chemistry, and Biochemistry 2 Journal of Mathematical Sciences (New York) 2 Journal of Siberian Federal University. Mathematics & Physics 1 Communications in Algebra 1 Inventiones Mathematicae 1 Nagoya Mathematical Journal 1 Scientific Papers of the College of General Education 1 European Journal of Combinatorics 1 Saitama Mathematical Journal 1 Journal of Mathematical Sciences. University of Tokyo 1 Opuscula Mathematica 1 The Asian Journal of Mathematics 1 International Journal of Computational and Numerical Analysis and Applications (IJCNAA) 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Serdica Journal of Computing
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#### Fields

 24 Algebraic geometry (14-XX) 17 Group theory and generalizations (20-XX) 16 Topological groups, Lie groups (22-XX) 15 Several complex variables and analytic spaces (32-XX) 14 Nonassociative rings and algebras (17-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Special functions (33-XX) 8 Differential geometry (53-XX) 7 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 7 Abstract harmonic analysis (43-XX) 5 Convex and discrete geometry (52-XX) 4 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

40 Publications have been cited 348 times in 276 Documents Cited by Year
Eigenspaces of invariant differential operators on an affine symmetric space. Zbl 0434.58020
Oshima, Toshio; Sekiguchi, Jiro
1980
Remarks on real nilpotent orbits of a symmetric pair. Zbl 0627.22008
Sekiguchi, Jiro
1987
On a certain generator system of the ring of invariants of a finite reflection group. Zbl 0428.14020
Saito, Kyoji; Yano, Tamaki; Sekiguchi, Jiro
1980
Zonal spherical functions on some symmetric spaces. Zbl 0383.43005
Sekiguchi, Jiro
1977
The nilpotent subvariety of the vector space associated to a symmetric pair. Zbl 0556.14022
Sekiguchi, Jiro
1984
The microlocal structure of weighted homogeneous polynomials associated with Coxeter systems. I. Zbl 0449.58025
Yano, Tamaki; Sekiguchi, Jiro
1979
The restricted root system of a semisimple symmetric pair. Zbl 0577.17004
Oshima, Toshio; Sekiguchi, Jiro
1984
A classification of weighted homogeneous Saito free divisors. Zbl 1189.32017
Sekiguchi, Jiro
2009
The microlocal structure of weighted homogeneous polynomials associated with the Coxeter systems. Zbl 0496.58017
Yano, Tamaki; Sekiguchi, Jiro
1981
The versal deformation of the $$E_ 6$$-singularity and a family of cubic surfaces. Zbl 0830.14012
Sekiguchi, Jiro
1994
Flat structures without potentials. Zbl 1399.32018
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2015
Eigenspaces of the Laplace-Beltrami operator on a hyperboloid. Zbl 0468.35074
Sekiguchi, Jiro
1980
$$W(E_6)$$-action on the configuration space of six lines on the real projective plane. Zbl 0932.14027
Sekiguchi, Jiro; Yoshida, Masaaki
1997
Cross ratio varieties for root systems. Zbl 0841.14009
Sekiguchi, J.
1994
Configurations of seven lines on the real projective plane and the root system of type $$E_7$$. Zbl 0948.52010
Sekiguchi, Jiro
1999
A note on the Coxeter group of type $$H_3$$. Zbl 0446.20031
Sekiguchi, Jiro; Yano, Tamaki
1979
The algebra of invariants of the Weyl group $$W(F_4)$$. Zbl 0449.20050
Sekiguchi, Jiro; Yano, Tamaki
1979
A modification of Cayley’s family of cubic surfaces and birational action of W($$E_ 6)$$ over it. Zbl 0472.14018
Naruki, Isao; Sekiguchi, Jiro
1980
The closure ordering of adjoint nilpotent orbits in $$\mathfrak{so}(p,q)$$. Zbl 0995.17007
Đoković, Dragomir Ž.; Lemire, Nicole; Sekiguchi, Jiro
2001
Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation. Zbl 1405.34075
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2018
Invariant spherical hyperfunctions on the tangent space of a symmetric space. Zbl 0578.22011
Sekiguchi, Jiro
1985
Some topics related with discriminant polynomials. Zbl 0966.17500
Sekiguchi, J.
1992
Some results on modular forms – subgroups of the modular group whose ring of modular forms is a polynomial ring. Zbl 1029.11012
Bannai, Eiichi; Koike, Masao; Munemasa, Akihiro; Sekiguchi, Jiro
2001
Cross ratio varieties for root systems. II: The case of the root system of type $$E_7$$. Zbl 1040.14022
Sekiguchi, Jiro
2000
Simple singularities and infinitesimally symmetric spaces. Zbl 0481.58009
Sekiguchi, Jiro; Shimizu, Yasuhiro
1981
Uniformization systems of equations with singularities along the discriminant sets of complex reflection groups of rank three. Zbl 1292.35007
Kato, Mitsuo; Sekiguchi, Jiro
2014
Boundary value problem on symmetric homogeneous spaces. Zbl 0452.43013
Oshima, Toshio; Sekiguchi, Jiro
1977
The Plancherel formula for SL(2,C)/SL(2,R). Zbl 0453.22008
Sano, Shigeru; Sekiguchi, Jiro
1980
Free deformations of hypersurface singularities. Zbl 1220.14004
Aleksandrov, A. G.; Sekiguchi, J.
2011
Cross ratio varieties for root systems of type $$A$$ and the Terada model. Zbl 0907.14016
Sekiguchi, J.
1996
Flat structures and algebraic solutions to Painlevé VI equation. Zbl 1404.34106
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2017
A counterexample to a problem on commuting matrices. Zbl 0566.17002
Sekiguchi, Jiro
1983
Commuting involutions of semisimple groups. Zbl 0786.22019
1991
The birational action of $${\mathfrak S}_ 5$$ on $$P^ 2(C)$$ and the icosahedron. Zbl 0787.51014
Sekiguchi, Jiro
1992
Holonomic systems of differential equations of rank two with singularities along Saito free divisors of simple type. Zbl 1319.34156
Sekiguchi, Jiro
2014
Systems of uniformization equations along Saito free divisors and related topics. Zbl 1244.35093
Sekiguchi, Jiro
2010
On an example of an irreducible prehomogeneous vector space. Zbl 0384.20036
Sekiguchi, Jiro
1976
Determination of $$b$$-functions of polynomials defining Saito free divisors related with simple curve singularities of types $$E_6,E_7,E_8$$. Zbl 1181.14006
Nakayama, Hiromasa; Sekiguchi, Jiro
2009
Fundamental groups of semisimple symmetric spaces. Zbl 0723.22021
Sekiguchi, Jiro
1988
Flat structure on the space of isomonodromic deformations. Zbl 1465.34100
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2020
Flat structure on the space of isomonodromic deformations. Zbl 1465.34100
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2020
Flat structure and potential vector fields related with algebraic solutions to Painlevé VI equation. Zbl 1405.34075
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2018
Flat structures and algebraic solutions to Painlevé VI equation. Zbl 1404.34106
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2017
Flat structures without potentials. Zbl 1399.32018
Kato, Mitsuo; Mano, Toshiyuki; Sekiguchi, Jiro
2015
Uniformization systems of equations with singularities along the discriminant sets of complex reflection groups of rank three. Zbl 1292.35007
Kato, Mitsuo; Sekiguchi, Jiro
2014
Holonomic systems of differential equations of rank two with singularities along Saito free divisors of simple type. Zbl 1319.34156
Sekiguchi, Jiro
2014
Free deformations of hypersurface singularities. Zbl 1220.14004
Aleksandrov, A. G.; Sekiguchi, J.
2011
Systems of uniformization equations along Saito free divisors and related topics. Zbl 1244.35093
Sekiguchi, Jiro
2010
A classification of weighted homogeneous Saito free divisors. Zbl 1189.32017
Sekiguchi, Jiro
2009
Determination of $$b$$-functions of polynomials defining Saito free divisors related with simple curve singularities of types $$E_6,E_7,E_8$$. Zbl 1181.14006
Nakayama, Hiromasa; Sekiguchi, Jiro
2009
The closure ordering of adjoint nilpotent orbits in $$\mathfrak{so}(p,q)$$. Zbl 0995.17007
Đoković, Dragomir Ž.; Lemire, Nicole; Sekiguchi, Jiro
2001
Some results on modular forms – subgroups of the modular group whose ring of modular forms is a polynomial ring. Zbl 1029.11012
Bannai, Eiichi; Koike, Masao; Munemasa, Akihiro; Sekiguchi, Jiro
2001
Cross ratio varieties for root systems. II: The case of the root system of type $$E_7$$. Zbl 1040.14022
Sekiguchi, Jiro
2000
Configurations of seven lines on the real projective plane and the root system of type $$E_7$$. Zbl 0948.52010
Sekiguchi, Jiro
1999
$$W(E_6)$$-action on the configuration space of six lines on the real projective plane. Zbl 0932.14027
Sekiguchi, Jiro; Yoshida, Masaaki
1997
Cross ratio varieties for root systems of type $$A$$ and the Terada model. Zbl 0907.14016
Sekiguchi, J.
1996
The versal deformation of the $$E_ 6$$-singularity and a family of cubic surfaces. Zbl 0830.14012
Sekiguchi, Jiro
1994
Cross ratio varieties for root systems. Zbl 0841.14009
Sekiguchi, J.
1994
Some topics related with discriminant polynomials. Zbl 0966.17500
Sekiguchi, J.
1992
The birational action of $${\mathfrak S}_ 5$$ on $$P^ 2(C)$$ and the icosahedron. Zbl 0787.51014
Sekiguchi, Jiro
1992
Commuting involutions of semisimple groups. Zbl 0786.22019
1991
Fundamental groups of semisimple symmetric spaces. Zbl 0723.22021
Sekiguchi, Jiro
1988
Remarks on real nilpotent orbits of a symmetric pair. Zbl 0627.22008
Sekiguchi, Jiro
1987
Invariant spherical hyperfunctions on the tangent space of a symmetric space. Zbl 0578.22011
Sekiguchi, Jiro
1985
The nilpotent subvariety of the vector space associated to a symmetric pair. Zbl 0556.14022
Sekiguchi, Jiro
1984
The restricted root system of a semisimple symmetric pair. Zbl 0577.17004
Oshima, Toshio; Sekiguchi, Jiro
1984
A counterexample to a problem on commuting matrices. Zbl 0566.17002
Sekiguchi, Jiro
1983
The microlocal structure of weighted homogeneous polynomials associated with the Coxeter systems. Zbl 0496.58017
Yano, Tamaki; Sekiguchi, Jiro
1981
Simple singularities and infinitesimally symmetric spaces. Zbl 0481.58009
Sekiguchi, Jiro; Shimizu, Yasuhiro
1981
Eigenspaces of invariant differential operators on an affine symmetric space. Zbl 0434.58020
Oshima, Toshio; Sekiguchi, Jiro
1980
On a certain generator system of the ring of invariants of a finite reflection group. Zbl 0428.14020
Saito, Kyoji; Yano, Tamaki; Sekiguchi, Jiro
1980
Eigenspaces of the Laplace-Beltrami operator on a hyperboloid. Zbl 0468.35074
Sekiguchi, Jiro
1980
A modification of Cayley’s family of cubic surfaces and birational action of W($$E_ 6)$$ over it. Zbl 0472.14018
Naruki, Isao; Sekiguchi, Jiro
1980
The Plancherel formula for SL(2,C)/SL(2,R). Zbl 0453.22008
Sano, Shigeru; Sekiguchi, Jiro
1980
The microlocal structure of weighted homogeneous polynomials associated with Coxeter systems. I. Zbl 0449.58025
Yano, Tamaki; Sekiguchi, Jiro
1979
A note on the Coxeter group of type $$H_3$$. Zbl 0446.20031
Sekiguchi, Jiro; Yano, Tamaki
1979
The algebra of invariants of the Weyl group $$W(F_4)$$. Zbl 0449.20050
Sekiguchi, Jiro; Yano, Tamaki
1979
Zonal spherical functions on some symmetric spaces. Zbl 0383.43005
Sekiguchi, Jiro
1977
Boundary value problem on symmetric homogeneous spaces. Zbl 0452.43013
Oshima, Toshio; Sekiguchi, Jiro
1977
On an example of an irreducible prehomogeneous vector space. Zbl 0384.20036
Sekiguchi, Jiro
1976
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#### Cited by 284 Authors

 15 Sekiguchi, Jiro 10 Helminck, Aloysius G. 8 Van den Ban, Erik Peter 6 Noël, Alfred G. 6 Oshima, Toshio 5 Baba, Kurando 5 Mano, Toshiyuki 5 Opdam, Eric Marcus 5 Schlichtkrull, Henrik 4 Božičević, Mladen 4 Đoković, Dragomir Ž. 4 Guzzetti, Davide 4 Kato, Mitsuo 4 Kobayashi, Toshiyuki 4 Ohta, Takuya 4 Ólafsson, Gestur 4 Saito, Kyoji 3 Buchweitz, Ragnar-Olaf 3 Flensted-Jensen, Mogens 3 Huber, Tim 3 Inozemtsev, Vladimir I. 3 Iwasaki, Katsunori 3 Kaizuka, Koichi 3 King, Donald R. 3 Koike, Naoyuki 3 Lorenzoni, Paolo 3 Matsuki, Toshihiko 3 Muro, Masakazu 3 Pasquale, Angela 3 Przebinda, Tomasz 3 Sklyanin, Evgeny K. 3 Talamini, Vittorino 3 Yano, Tamaki 2 Adams, Jeffrey David 2 Aleksandrov, Aleksandr Grigor’evich 2 Beerends, R. J. 2 Bossard, Guillaume 2 Boumuki, Nobutaka 2 Cachazo, Freddy 2 Caradot, Antoine 2 Chang, Jen-Tseh 2 Chen, Tsao-Hsien 2 Cotti, Giordano 2 Daszkiewicz, Andrzej 2 Delorme, Patrick 2 Dubrovin, Boris Anatol’evich 2 Harinck, Pascale 2 Heckman, Gert 2 Hilgert, Joachim 2 Holweck, Frédéric 2 Ignatenko, V. F. 2 Ikawa, Osamu 2 Ishibe, Tadashi 2 Knop, Friedrich 2 Kraśkiewicz, Witold 2 Luque, Jean-Gabriel 2 Matumoto, Hisayosi 2 Moylan, Patrick 2 Nazarov, Maxim Leonidovich 2 Okamoto, Kiyosato 2 Orlik, Peter 2 Penney, Richard C. 2 Sahi, Siddhartha 2 Sasaki, Atsumu 2 Sato, Fumihiro 2 Schwarz, Gerald Walter 2 Thibon, Jean-Yves 2 van Geemen, Bert 2 Vilonen, Kari 2 Vogan, David Alexander jun. 2 Xue, Ting 1 Achab, Dehbia 1 Adler, Dmitrii 1 Alaniz, Andrew 1 Alekseevskiĭ, Dmitriĭ Vladimirovich 1 Almeida, Guilherme F. 1 Arsie, Alessandro 1 Ascher, Kenneth 1 Barbasch, Dan M. 1 Basalaev, Alexey 1 Bejleri, Dori 1 Beun, Stacy L. 1 Biquard, Olivier 1 Blume, Mark 1 Borodin, Alexei 1 Boussejra, Abdelhamid 1 Bremigan, Ralph J. 1 Briggs, Benjamin 1 Brundu, Michela 1 Brylinski, Jean-Luc 1 Brylinski, Ranee Kathryn 1 Bulois, Michaël 1 Colombo, Elisabetta 1 Corey, Daniel 1 Daniel, Jennifer Renee 1 De Concini, Corrado 1 de Graaf, Willem Adriaan 1 Dechant, Pierre-Philippe 1 Denef, Jan 1 Devadoss, Satyan Linus ...and 184 more Authors
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#### Cited in 91 Serials

 17 Advances in Mathematics 16 Journal of Algebra 16 Proceedings of the Japan Academy. Series A 13 Journal of Functional Analysis 12 Compositio Mathematica 10 Tohoku Mathematical Journal. Second Series 10 Representation Theory 9 Duke Mathematical Journal 9 Inventiones Mathematicae 9 Transactions of the American Mathematical Society 6 Publications of the Research Institute for Mathematical Sciences, Kyoto University 6 Transformation Groups 5 Communications in Algebra 5 Annales de l’Institut Fourier 5 Differential Geometry and its Applications 5 Indagationes Mathematicae. New Series 4 Communications in Mathematical Physics 4 Journal of Mathematical Physics 4 Journal of Soviet Mathematics 4 Tokyo Journal of Mathematics 4 Journal of Mathematical Sciences (New York) 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Letters in Mathematical Physics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Functional Analysis and its Applications 3 International Journal of Mathematics 2 General Relativity and Gravitation 2 Arkiv för Matematik 2 Journal of Geometry and Physics 2 Journal of the Mathematical Society of Japan 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 European Journal of Combinatorics 2 Journal of Algebraic Combinatorics 2 Algebra Colloquium 2 Journal of Lie Theory 2 Selecta Mathematica. New Series 2 The Ramanujan Journal 2 Journal of High Energy Physics 2 Journal of Siberian Federal University. Mathematics & Physics 1 Communications on Pure and Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nuclear Physics. B 1 Mathematics of Computation 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Hiroshima Mathematical Journal 1 Publications Mathématiques 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Topology and its Applications 1 Physica D 1 Journal of Symbolic Computation 1 Probability Theory and Related Fields 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Opuscula Mathematica 1 Mathematical Physics, Analysis and Geometry 1 Algebras and Representation Theory 1 LMS Journal of Computation and Mathematics 1 Regular and Chaotic Dynamics 1 Acta Mathematica Sinica. English Series 1 Central European Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Algebra and its Applications 1 International Journal of Number Theory 1 Mathematics in Computer Science 1 Japanese Journal of Mathematics. 3rd Series 1 Random Matrices: Theory and Applications 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Nelineĭnaya Dinamika 1 Research in Number Theory 1 SIAM Journal on Applied Algebra and Geometry 1 Algebraic Combinatorics
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#### Cited in 39 Fields

 94 Topological groups, Lie groups (22-XX) 80 Algebraic geometry (14-XX) 66 Nonassociative rings and algebras (17-XX) 54 Differential geometry (53-XX) 50 Group theory and generalizations (20-XX) 41 Abstract harmonic analysis (43-XX) 30 Several complex variables and analytic spaces (32-XX) 23 Special functions (33-XX) 17 Global analysis, analysis on manifolds (58-XX) 15 Ordinary differential equations (34-XX) 15 Quantum theory (81-XX) 14 Partial differential equations (35-XX) 13 Commutative algebra (13-XX) 11 Number theory (11-XX) 11 Dynamical systems and ergodic theory (37-XX) 9 Combinatorics (05-XX) 8 Associative rings and algebras (16-XX) 8 Geometry (51-XX) 8 Manifolds and cell complexes (57-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Convex and discrete geometry (52-XX) 4 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Relativity and gravitational theory (83-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)