# zbMATH — the first resource for mathematics

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 Documents Indexed: 32 Publications since 1984, including 1 Book
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#### Co-Authors

 17 single-authored 4 Ishikawa, Masao 2 Ito, Masahiko 2 Naruse, Hiroshi 1 Fujii, Shigeyuki 1 Kanno, Hiroaki 1 Kashiwara, Masaki 1 Kawamuko, Hiroyuki 1 Kim, Jang Soo 1 Koike, Kazuhiko 1 Moriyama, Sanefumi 1 Nakayashiki, Atsushi 1 Noumi, Masatoshi 1 Okamoto, Kazuo 1 Shigyo, Yoko 1 Tagawa, Hiroyuki 1 Terada, Itaru 1 Umemura, Hiroshi 1 Wakayama, Masato 1 Yamada, Hirofumi 1 Zeng, Jiang
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#### Serials

 4 Journal of Algebra 4 Journal of Combinatorial Theory. Series A 3 Journal of Algebraic Combinatorics 3 The Electronic Journal of Combinatorics 2 Advances in Mathematics 2 Advances in Applied Mathematics 2 Séminaire Lotharingien de Combinatoire 1 Transactions of the American Mathematical Society 1 The Ramanujan Journal 1 Advances in Theoretical and Mathematical Physics 1 RIMS Kokyuroku 1 Advanced Studies in Pure Mathematics 1 Journal of Integrable Systems 1 Algebraic Combinatorics
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#### Fields

 21 Combinatorics (05-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 5 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 4 Special functions (33-XX) 3 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX)

#### Citations contained in zbMATH

25 Publications have been cited 235 times in 191 Documents Cited by Year
Enumeration of symmetry classes of alternating sign matrices and characters of classical groups. Zbl 1088.05012
2006
Applications of minor summation formulas to rectangular-shaped representations of classical groups. Zbl 0915.20023
1998
On the generating functions for certain classes of plane partitions. Zbl 0678.05003
1989
Wreath products by the symmetric groups and product posets of Young’s lattices. Zbl 0707.05062
1990
Alternating sign matrices and some deformations of Weyl’s denominator formulas. Zbl 0781.15008
1993
Generalizations of Cauchy’s determinant and Schur’s Pfaffian. Zbl 1134.15005
Ishikawa, Masao; Okada, Soichi; Tagawa, Hiroyuki; Zeng, Jiang
2006
Special polynomials associated with the Painlevé equations. II. Zbl 1052.33504
Noumi, Masatoshi; Okada, Soichi; Okamoto, Kazuo; Umemura, Hiroshi
1998
Instanton calculus and chiral one-point functions in supersymmetric gauge theories. Zbl 1151.81359
Fujii, Shigeyuki; Kanno, Hiroaki; Moriyama, Sanefumi; Okada, Soichi
2008
Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005
Ishikawa, Masao; Okada, Soichi; Wakayama, Masato
1996
An elliptic generalization of Schur’s Pfaffian identity. Zbl 1099.33015
2006
The number of rhombus tilings of a “punctured” hexagon and the minor summation formula. Zbl 0922.05018
1998
Partially strict shifted plane partitions. Zbl 0686.05006
1990
Skew hook formula for $$d$$-complete posets via equivariant $$K$$-theory. Zbl 1417.05011
2019
Algebras associated to the Young-Fibonacci lattice. Zbl 0835.05084
1994
Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux. Zbl 1353.05124
2016
($$q,t$$)-deformations of multivariate hook product formulae. Zbl 1228.05048
2010
A Pfaffian-Hafnian analogue of Borchardt’s identity. Zbl 1074.05090
Ishikawa, Masao; Kawamuko, Hiroyuki; Okada, Soichi
2005
Pfaffian formulas and Schur $$Q$$-function identities. Zbl 1418.05129
2019
An application of Cauchy-Sylvester’s theorem on compound determinants to a $$BC_{n}$$-type Jackson integral. Zbl 1245.15014
2012
A Robinson-Schensted-type algorithm for $$SO(2n,\mathbb{C})$$. Zbl 0759.20014
1991
A new $$q$$-Selberg integral, Schur functions, and Young books. Zbl 1362.05132
2017
A compound determinant identity for rectangular matrices and determinants of Schur functions. Zbl 1317.15007
Ishikawa, Masao; Ito, Masahiko; Okada, Soichi
2013
Robinson-Schensted-type algorithms for the spinor representations of the orthogonal Lie algebra $${\mathfrak so}(2n,\mathbb{C})$$. Zbl 0814.17006
1993
Generalized Maillet determinant. Zbl 0535.12005
1984
A generalization of Schur’s $$P$$- and $$Q$$-functions. Zbl 1447.05229
2020
A generalization of Schur’s $$P$$- and $$Q$$-functions. Zbl 1447.05229
2020
Skew hook formula for $$d$$-complete posets via equivariant $$K$$-theory. Zbl 1417.05011
2019
Pfaffian formulas and Schur $$Q$$-function identities. Zbl 1418.05129
2019
A new $$q$$-Selberg integral, Schur functions, and Young books. Zbl 1362.05132
2017
Pieri rules for classical groups and equinumeration between generalized oscillating tableaux and semistandard tableaux. Zbl 1353.05124
2016
A compound determinant identity for rectangular matrices and determinants of Schur functions. Zbl 1317.15007
Ishikawa, Masao; Ito, Masahiko; Okada, Soichi
2013
An application of Cauchy-Sylvester’s theorem on compound determinants to a $$BC_{n}$$-type Jackson integral. Zbl 1245.15014
2012
($$q,t$$)-deformations of multivariate hook product formulae. Zbl 1228.05048
2010
Instanton calculus and chiral one-point functions in supersymmetric gauge theories. Zbl 1151.81359
Fujii, Shigeyuki; Kanno, Hiroaki; Moriyama, Sanefumi; Okada, Soichi
2008
Enumeration of symmetry classes of alternating sign matrices and characters of classical groups. Zbl 1088.05012
2006
Generalizations of Cauchy’s determinant and Schur’s Pfaffian. Zbl 1134.15005
Ishikawa, Masao; Okada, Soichi; Tagawa, Hiroyuki; Zeng, Jiang
2006
An elliptic generalization of Schur’s Pfaffian identity. Zbl 1099.33015
2006
A Pfaffian-Hafnian analogue of Borchardt’s identity. Zbl 1074.05090
Ishikawa, Masao; Kawamuko, Hiroyuki; Okada, Soichi
2005
Applications of minor summation formulas to rectangular-shaped representations of classical groups. Zbl 0915.20023
1998
Special polynomials associated with the Painlevé equations. II. Zbl 1052.33504
Noumi, Masatoshi; Okada, Soichi; Okamoto, Kazuo; Umemura, Hiroshi
1998
The number of rhombus tilings of a “punctured” hexagon and the minor summation formula. Zbl 0922.05018
1998
Applications of minor-summation formula. I: Littlewood’s formulas. Zbl 0857.15005
Ishikawa, Masao; Okada, Soichi; Wakayama, Masato
1996
Algebras associated to the Young-Fibonacci lattice. Zbl 0835.05084
1994
Alternating sign matrices and some deformations of Weyl’s denominator formulas. Zbl 0781.15008
1993
Robinson-Schensted-type algorithms for the spinor representations of the orthogonal Lie algebra $${\mathfrak so}(2n,\mathbb{C})$$. Zbl 0814.17006
1993
A Robinson-Schensted-type algorithm for $$SO(2n,\mathbb{C})$$. Zbl 0759.20014
1991
Wreath products by the symmetric groups and product posets of Young’s lattices. Zbl 0707.05062
1990
Partially strict shifted plane partitions. Zbl 0686.05006
1990
On the generating functions for certain classes of plane partitions. Zbl 0678.05003
1989
Generalized Maillet determinant. Zbl 0535.12005
1984
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#### Cited by 192 Authors

 12 Okada, Soichi 9 Ishikawa, Masao 9 Krattenthaler, Christian Friedrich 9 Motegi, Kohei 6 Ito, Masahiko 6 Rosengren, Hjalmar 6 Tsuda, Teruhisa 5 Behrend, Roger E. 5 Fischer, Ilse 5 King, Ronald C. 5 Wakayama, Masato 4 Hamel, Angèle M. 4 Takegahara, Yugen 3 Ciucu, Mihai 3 Eisenkölbl, Theresia 3 Forrester, Peter J. 3 Gaetz, Christian 3 Han, Guo-Niu 3 Kirillov, Anatol N. 3 Lai, Tri 3 Matsumoto, Sho 3 Noumi, Masatoshi 3 Razumov, Alexander V. 3 Stroganov, Yu. G. 3 Warnaar, S. Ole 3 Xiong, Huan 3 Zeng, Jiang 2 Agarwal, Ayush 2 Andrews, George Eyre 2 Aomoto, Kazuhiko 2 Ayyer, Arvind 2 Betea, Dan 2 Bonnafé, Cédric 2 Brubaker, Ben 2 Bump, Daniel 2 Cantini, Luigi 2 Chang, Xiangke 2 Clarkson, Peter A. 2 de Gier, Jan 2 Gorin, Vadim 2 Hu, Xingbiao 2 Iancu, Lăcrimioara 2 Jagenteufel, Judith 2 Kim, Jang Soo 2 Konvalinka, Matjaž 2 Lee, Soo Teck 2 Li, Shihao 2 Miller, Alexander R. 2 Panova, Greta 2 Pietraho, Thomas 2 Ponsaing, Anita K. 2 Proctor, Robert A. 2 Sekiguchi, Hideko 2 Sinclair, Christopher D. 2 Stembridge, John R. 2 Vuletić, Mirjana 2 Zinn-Justin, Paul 1 Adamović, Dražen 1 Alladi, Krishnaswami 1 Anderson, Dave Edward 1 Bakeev, T. D. 1 Balogh, Ferenc N. 1 Bartlett, Nick 1 Baumann, Pierre 1 Beccaria, Matteo 1 Ben Halima, Majdi 1 Bertola, Marco 1 Betzios, Panagiotis 1 Bousquet-Mélou, Mireille 1 Bouttier, Jérémie 1 Brent, Richard Peirce 1 Bressoud, David M. 1 Burnol, Jean-François 1 Cafasso, Mattia 1 Campbell, John Maxwell 1 Ciubotaru, Dan 1 Corteel, Sylvie 1 Dey, Anindya 1 Di Francesco, Philippe 1 Díaz Martín, Rocío 1 DiPippo, Stephen A. 1 Distler, Jacques 1 Doran, William F. IV 1 Evtushevsky, V. Yu. 1 Fachechi, Alberto 1 Farley, Jonathan David 1 Foley, Angèle M. 1 Fonseca, Tiago M. 1 Fordy, Allan P. 1 Friedberg, Solomon 1 Fulmek, Markus 1 Gamburd, Alexander 1 Giannelli, Eugenio 1 Gnedin, Alexander V. 1 Goodman, Frederick M. 1 Grabiner, David J. 1 Gürsoy, Umut 1 He, Yi 1 Hohlweg, Christophe 1 Howe, Everett W. ...and 92 more Authors
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#### Cited in 63 Serials

 25 Journal of Combinatorial Theory. Series A 15 Advances in Mathematics 15 Journal of Algebraic Combinatorics 11 Advances in Applied Mathematics 8 Journal of Algebra 7 Communications in Mathematical Physics 7 Séminaire Lotharingien de Combinatoire 6 The Electronic Journal of Combinatorics 5 Journal of Mathematical Physics 5 Theoretical and Mathematical Physics 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Letters in Mathematical Physics 4 The Ramanujan Journal 4 Algebraic Combinatorics 3 Discrete Mathematics 3 Transactions of the American Mathematical Society 3 European Journal of Combinatorics 3 Journal of Statistical Mechanics: Theory and Experiment 2 Nuclear Physics. B 2 Journal of Geometry and Physics 2 Journal of Statistical Planning and Inference 2 Mathematische Annalen 2 Proceedings of the Japan Academy. Series A 2 Tokyo Journal of Mathematics 2 Order 2 Annals of Combinatorics 2 Journal of High Energy Physics 2 Journal of Algebra and its Applications 2 Journal of Commutative Algebra 2 Random Matrices: Theory and Applications 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Linear and Multilinear Algebra 1 Physics Letters. A 1 Rocky Mountain Journal of Mathematics 1 Reviews in Mathematical Physics 1 The Annals of Probability 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Journal of Number Theory 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Probability Theory and Related Fields 1 International Journal of Mathematics 1 Random Structures & Algorithms 1 Linear Algebra and its Applications 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Transformation Groups 1 Representation Theory 1 Geometry & Topology 1 Algebras and Representation Theory 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 International Journal of Number Theory 1 Advances in Mathematical Physics 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
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#### Cited in 32 Fields

 124 Combinatorics (05-XX) 30 Group theory and generalizations (20-XX) 30 Special functions (33-XX) 28 Statistical mechanics, structure of matter (82-XX) 27 Linear and multilinear algebra; matrix theory (15-XX) 21 Nonassociative rings and algebras (17-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 16 Number theory (11-XX) 15 Algebraic geometry (14-XX) 14 Topological groups, Lie groups (22-XX) 13 Quantum theory (81-XX) 10 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Difference and functional equations (39-XX) 5 Associative rings and algebras (16-XX) 5 Partial differential equations (35-XX) 5 Convex and discrete geometry (52-XX) 4 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 $$K$$-theory (19-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX)