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Umeda, Tôru

Co-Author Distance
Author ID: umeda.toru Recent zbMATH articles by "Umeda, Tôru"
Published as: Umeda, Tôru; Umeda, Toru; Umeda, Tōru
Homepage: https://www.math.kyoto-u.ac.jp/en/people/profile/umeda
External Links: GND
Documents Indexed: 18 Publications since 1981
Co-Authors: 4 Co-Authors with 7 Joint Publications
172 Co-Co-Authors

Co-Authors

10 single-authored
5 Wakayama, Masato
3 Noumi, Masatoshi
1 Howe, Roger Evans
1 Itoh, Minoru
all top 5

Serials

2 Compositio Mathematica
2 Journal of Mathematics of Kyoto University
2 RIMS Kokyuroku
1 Communications in Algebra
1 Letters in Mathematical Physics
1 Commentarii Mathematici Helvetici
1 Commentarii Mathematici Universitatis Sancti Pauli
1 Duke Mathematical Journal
1 Funkcialaj Ekvacioj. Serio Internacia
1 Mathematische Annalen
1 Proceedings of the American Mathematical Society
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Nanosistemy: Fizika, Khimiya, Matematika
all top 5

Fields

15 Nonassociative rings and algebras (17-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
3 Special functions (33-XX)
3 Functional analysis (46-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Associative rings and algebras (16-XX)
2 Operator theory (47-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

11 Publications have been cited 199 times in 137 Documents Cited by ▼ Year ▼
The Capelli identity, the double commutant theorem, and multiplicity-free actions. Zbl 0733.20019
Howe, Roger; Umeda, Tôru
111
1991
A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
21
1994
On central elements in the universal enveloping algebras of the orthogonal Lie algebras. Zbl 1007.17007
Itoh, Minoru; Umeda, Tôru
18
2001
Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
13
1996
Newton’s formula for \(\mathfrak{gl}_n\). Zbl 0913.17006
Umeda, Tôru
10
1998
On the proof of the Capelli identities. Zbl 1195.17009
Umeda, Tôru
7
2008
On Turnbull identity for skew-symmetric matrices. Zbl 1006.17012
Umeda, Tôru
5
2000
A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
5
1995
Application of Koszul complex to Wronski relations for \(U(\mathfrak{gl}_n)\). Zbl 1058.17007
Umeda, Tôru
4
2003
The Capelli identity, a century after. Zbl 0893.20031
Umeda, Tōru
4
1994
Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023
Umeda, Tôru; Wakayama, Masato
1
1998
On the proof of the Capelli identities. Zbl 1195.17009
Umeda, Tôru
7
2008
Application of Koszul complex to Wronski relations for \(U(\mathfrak{gl}_n)\). Zbl 1058.17007
Umeda, Tôru
4
2003
On central elements in the universal enveloping algebras of the orthogonal Lie algebras. Zbl 1007.17007
Itoh, Minoru; Umeda, Tôru
18
2001
On Turnbull identity for skew-symmetric matrices. Zbl 1006.17012
Umeda, Tôru
5
2000
Newton’s formula for \(\mathfrak{gl}_n\). Zbl 0913.17006
Umeda, Tôru
10
1998
Another look at the differential operators on quantum matrix spaces and its applications. Zbl 0957.17023
Umeda, Tôru; Wakayama, Masato
1
1998
Dual pairs, spherical harmonics and a Capelli identity in quantum group theory. Zbl 0930.17012
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
13
1996
A quantum dual pair \(({\mathfrak {sl}}_ 2, {\mathfrak o}_ n)\) and the associated Capelli identity. Zbl 0842.17020
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
5
1995
A quantum analogue of the Capelli identity and an elementary differential calculus on \(GL_ q(n)\). Zbl 0835.17013
Noumi, Masatoshi; Umeda, Tôru; Wakayama, Masato
21
1994
The Capelli identity, a century after. Zbl 0893.20031
Umeda, Tōru
4
1994
The Capelli identity, the double commutant theorem, and multiplicity-free actions. Zbl 0733.20019
Howe, Roger; Umeda, Tôru
111
1991
all cited Publications top 5 cited Publications
all top 5

Cited by 144 Authors

10 Molev, Alexander I.
9 Ratcliff, Gail
8 Benson, Chal
6 Itoh, Minoru
6 Ragoucy, Eric
5 Noumi, Masatoshi
5 Wakayama, Masato
4 Avdeev, Roman S.
4 Nang, Philibert
4 Sahi, Siddhartha
4 Umeda, Tôru
4 Zhang, Jian
3 Frappat, Luc
3 Gaboriaud, Julien
3 Jenkins, Joe W.
3 Jing, Naihuan
3 Lőrincz, András Cristian
3 Petukhov, Alexey V.
3 Salmasian, Hadi
3 Vinet, Luc
3 Zhang, Genkai
2 Artamonov, Dmitry V.
2 Golubeva, Valentina Alekseevna
2 Gurevich, Dmitrii
2 Hashimoto, Takashi
2 Hirano, Miki
2 Huang, Hau-wen
2 Ishii, Taku
2 Ishikawa, Masao
2 Kawata, Shotaro
2 Knop, Friedrich
2 Lee, Soo Teck
2 Lipsman, Ronald L.
2 Miyazaki, Tadashi
2 Mukhin, Evgeny
2 Oda, Takayuki
2 Okun’kov, Andreĭ Yur’evich
2 Przebinda, Tomasz
2 Rubenthaler, Hubert
2 Saponov, Pavel A.
2 Tarasov, Vitaly Olegovich
2 Varchenko, Alexander Nikolaevich
2 Wachi, Akihito
2 Walther, Uli
2 Yamaguchi, Naoya
1 Access, P. A. Saponov
1 Adin, Ron M.
1 Alldridge, Alexander
1 Astengo, Francesca
1 Barton, C. H.
1 Biliotti, Leonardo
1 Bopp, Nicole
1 Bramati, Roberto
1 Brini, Andrea
1 Cahen, Benjamin
1 Caracciolo, Sergio
1 Chervov, Alexander Viktorovich
1 Cohl, Howard Saul
1 Costas-Santos, Roberto S.
1 Crampé, Nicolas
1 Dedushenko, Mykola
1 Di Blasio, Bianca
1 Disveld, Niels
1 Falqui, Gregorio
1 Fienberg, Stephen Elliot
1 Floré, Matthias
1 Friedlander, Holley
1 Frumkin, Avital
1 Futorny, Vyacheslav M.
1 Gaiotto, Davide
1 Gel’fand, Israil’ Moiseevich
1 Ginzburg, David
1 Grodzicki, William
1 Gurevich, Dimitry
1 Gyoja, Akihiko
1 Howe, Roger Evans
1 Ibukiyama, Tomoyoshi
1 Jackson, Steven Glenn
1 Jacquet, Hervé Michel
1 Jian, Runqiang
1 Johnson, Wayne A.
1 Kamita, Atsushi
1 Kassel, Fanny
1 Kobayashi, Toshiyuki
1 Koornwinder, Tom H.
1 Korotkikh, Sergei
1 Křižka, Libor
1 Krob, Daniel
1 Leclerc, Bernard
1 Leitenberger, Frank
1 Lepine, Dene
1 Li, Wen-Wei
1 Liebeck, Martin Walter
1 Liu, Yinlong
1 Luo, Li
1 Nakashima, Hideto
1 Nishiyama, Kyo
1 Noël, Alfred G.
1 Ochiai, Hiroyuki
1 Ol’shanskiĭ, Grigoriĭ Iosifovich
...and 44 more Authors
all top 5

Cited in 55 Serials

17 Journal of Algebra
9 Advances in Mathematics
7 Letters in Mathematical Physics
7 Journal of Functional Analysis
7 Transformation Groups
5 Transactions of the American Mathematical Society
4 Journal of Lie Theory
3 Communications in Algebra
3 Nuclear Physics. B
3 Annales de l’Institut Fourier
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Duke Mathematical Journal
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Linear and Multilinear Algebra
2 Theoretical and Mathematical Physics
2 Reviews in Mathematical Physics
2 Compositio Mathematica
2 Journal of the Mathematical Society of Japan
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Advances in Applied Mathematics
2 International Journal of Mathematics
2 Kyushu Journal of Mathematics
2 Selecta Mathematica. New Series
2 Representation Theory
2 Algebras and Representation Theory
2 Journal of Algebra and its Applications
1 Discrete Mathematics
1 Journal of Mathematical Analysis and Applications
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Journal of Geometry and Physics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Number Theory
1 Manuscripta Mathematica
1 Mathematische Zeitschrift
1 Nagoya Mathematical Journal
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Proceedings of the Japan Academy. Series A
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Statistical Science
1 Journal of the American Mathematical Society
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Mathematical Sciences (New York)
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Physics A: Mathematical and Theoretical
1 Science China. Mathematics
1 Cogent Mathematics & Statistics
all top 5

Cited in 25 Fields

66 Nonassociative rings and algebras (17-XX)
39 Topological groups, Lie groups (22-XX)
31 Group theory and generalizations (20-XX)
21 Quantum theory (81-XX)
19 Algebraic geometry (14-XX)
18 Abstract harmonic analysis (43-XX)
17 Combinatorics (05-XX)
17 Special functions (33-XX)
16 Associative rings and algebras (16-XX)
15 Linear and multilinear algebra; matrix theory (15-XX)
14 Number theory (11-XX)
10 Commutative algebra (13-XX)
9 Several complex variables and analytic spaces (32-XX)
4 Functional analysis (46-XX)
4 Global analysis, analysis on manifolds (58-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)

Citations by Year