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Chalykh, Oleg A.

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Author ID: chalykh.oleg-a Recent zbMATH articles by "Chalykh, Oleg A."
Published as: Chalykh, O.; Chalykh, O. A.; Chalykh, Oleg; Chalykh, Oleg A.
Documents Indexed: 32 Publications since 1988

Publications by Year

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29 Publications have been cited 310 times in 177 Documents Cited by Year
Commutative rings of partial differential operators and Lie algebras. Zbl 0746.47025
Chalykh, O. A.; Veselov, A. P.
54
1990
New integrable generalizations of the Calogero-Moser quantum problem. Zbl 0906.34061
Chalykh, O.; Feigin, M.; Veselov, A.
30
1998
Multidimensional Baker-Akhiezer functions and Huygens’ principle. Zbl 0972.35110
Chalykh, O. A.; Feigin, M. V.; Veselov, A. P.
27
1999
Algebraic integrability for the Schrödinger equation and finite reflection groups. Zbl 0805.47070
Veselov, A. P.; Styrkas, K. L.; Chalykh, O. A.
23
1993
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
16
2005
Macdonald polynomials and algebraic integrability. Zbl 1004.33009
Chalykh, Oleg A.
16
2002
Integrability in the theory of Schrödinger operator and harmonic analysis. Zbl 0767.35066
Chalykh, Oleg A.; Veselov, Alexander P.
16
1993
New integrable deformations of the Calogero-Moser quantum problem. Zbl 0874.35098
Veselov, A. P.; Feigin, M. V.; Chalykh, O. A.
14
1996
Bispectrality for the quantum Ruijsenaars model and its integrable deformation. Zbl 0987.81038
Chalykh, Oleg A.
11
2000
Quasi-invariants of complex reflection groups. Zbl 1233.16018
Berest, Yuri; Chalykh, Oleg
10
2011
Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models. Zbl 1418.70026
Chalykh, Oleg; Fairon, Maxime
8
2017
Locus configurations and \(\lor{}\)-systems\(^{\star{}}\). Zbl 0969.35529
Chalykh, O. A.; Veselov, A. P.
8
2001
KP hierarchy for the cyclic quiver. Zbl 1370.37126
Chalykh, Oleg; Silantyev, Alexey
7
2017
\(A_\infty\)-modules and Calogero-Moser spaces. Zbl 1160.16005
Berest, Yuri; Chalykh, Oleg
7
2007
Generalized Lamé operators. Zbl 1119.34066
Chalykh, Oleg; Etingof, Pavel; Oblomkov, Alexei
7
2003
Integrability and Huygens’ principle on symmetric spaces. Zbl 0859.43004
Chalykh, Oleg A.; Veselov, Alexander P.
7
1996
Explicit formulae for spherical functions on symmetric spaces of type AII. Zbl 0760.43004
Veselov, A. P.; Chalykh, O. A.
7
1992
Algebro-geometric Schrödinger operators in many dimensions. Zbl 1153.14303
Chalykh, Oleg
6
2008
Quantum Lax pairs via Dunkl and Cherednik operators. Zbl 1436.81058
Chalykh, Oleg
5
2019
Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. Zbl 1282.33028
Chalykh, Oleg; Etingof, Pavel
5
2013
The duality of the generalized Calogero and Ruijsenaars problems. Zbl 0916.35096
Chalykh, O. A.
5
1997
Additional integrals of the generalized quantum Calogero-Moser problem. Zbl 0942.81009
Chalykh, O. A.
5
1996
Bispectral rings of difference operators. Zbl 0977.39012
Nijhoff, F. V.; Chalykh, O. A.
4
1999
Darboux transformations for multidimensional Schrödinger operators. Zbl 0922.35009
Chalykh, O. A.
4
1998
Recollement of deformed preprojective algebras and the Calogero-Moser correspondence. Zbl 1207.16034
Berest, Yuri; Chalykh, Oleg; Eshmatov, Farkhod
3
2008
A construction of commutative rings of differential operators. Zbl 0813.47058
Chalykh, O. A.
2
1993
Harmonic oscillator and Darboux transformations in many dimensions. Zbl 0948.81539
Chalykh, O. A.; Oblomkov, A. A.
1
2000
Multidimensional integrable Schrödinger operators with matrix potential. Zbl 0952.37037
Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P.
1
1999
On some properties of polynomial mappings related to Lie algebras. Zbl 0656.17008
Chalykh, O. A.
1
1988
Quantum Lax pairs via Dunkl and Cherednik operators. Zbl 1436.81058
Chalykh, Oleg
5
2019
Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models. Zbl 1418.70026
Chalykh, Oleg; Fairon, Maxime
8
2017
KP hierarchy for the cyclic quiver. Zbl 1370.37126
Chalykh, Oleg; Silantyev, Alexey
7
2017
Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. Zbl 1282.33028
Chalykh, Oleg; Etingof, Pavel
5
2013
Quasi-invariants of complex reflection groups. Zbl 1233.16018
Berest, Yuri; Chalykh, Oleg
10
2011
Algebro-geometric Schrödinger operators in many dimensions. Zbl 1153.14303
Chalykh, Oleg
6
2008
Recollement of deformed preprojective algebras and the Calogero-Moser correspondence. Zbl 1207.16034
Berest, Yuri; Chalykh, Oleg; Eshmatov, Farkhod
3
2008
\(A_\infty\)-modules and Calogero-Moser spaces. Zbl 1160.16005
Berest, Yuri; Chalykh, Oleg
7
2007
A remark on rational isochronous potentials. Zbl 1362.70012
Chalykh, Oleg A.; Veselov, Alexander P.
16
2005
Generalized Lamé operators. Zbl 1119.34066
Chalykh, Oleg; Etingof, Pavel; Oblomkov, Alexei
7
2003
Macdonald polynomials and algebraic integrability. Zbl 1004.33009
Chalykh, Oleg A.
16
2002
Locus configurations and \(\lor{}\)-systems\(^{\star{}}\). Zbl 0969.35529
Chalykh, O. A.; Veselov, A. P.
8
2001
Bispectrality for the quantum Ruijsenaars model and its integrable deformation. Zbl 0987.81038
Chalykh, Oleg A.
11
2000
Harmonic oscillator and Darboux transformations in many dimensions. Zbl 0948.81539
Chalykh, O. A.; Oblomkov, A. A.
1
2000
Multidimensional Baker-Akhiezer functions and Huygens’ principle. Zbl 0972.35110
Chalykh, O. A.; Feigin, M. V.; Veselov, A. P.
27
1999
Bispectral rings of difference operators. Zbl 0977.39012
Nijhoff, F. V.; Chalykh, O. A.
4
1999
Multidimensional integrable Schrödinger operators with matrix potential. Zbl 0952.37037
Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P.
1
1999
New integrable generalizations of the Calogero-Moser quantum problem. Zbl 0906.34061
Chalykh, O.; Feigin, M.; Veselov, A.
30
1998
Darboux transformations for multidimensional Schrödinger operators. Zbl 0922.35009
Chalykh, O. A.
4
1998
The duality of the generalized Calogero and Ruijsenaars problems. Zbl 0916.35096
Chalykh, O. A.
5
1997
New integrable deformations of the Calogero-Moser quantum problem. Zbl 0874.35098
Veselov, A. P.; Feigin, M. V.; Chalykh, O. A.
14
1996
Integrability and Huygens’ principle on symmetric spaces. Zbl 0859.43004
Chalykh, Oleg A.; Veselov, Alexander P.
7
1996
Additional integrals of the generalized quantum Calogero-Moser problem. Zbl 0942.81009
Chalykh, O. A.
5
1996
Algebraic integrability for the Schrödinger equation and finite reflection groups. Zbl 0805.47070
Veselov, A. P.; Styrkas, K. L.; Chalykh, O. A.
23
1993
Integrability in the theory of Schrödinger operator and harmonic analysis. Zbl 0767.35066
Chalykh, Oleg A.; Veselov, Alexander P.
16
1993
A construction of commutative rings of differential operators. Zbl 0813.47058
Chalykh, O. A.
2
1993
Explicit formulae for spherical functions on symmetric spaces of type AII. Zbl 0760.43004
Veselov, A. P.; Chalykh, O. A.
7
1992
Commutative rings of partial differential operators and Lie algebras. Zbl 0746.47025
Chalykh, O. A.; Veselov, A. P.
54
1990
On some properties of polynomial mappings related to Lie algebras. Zbl 0656.17008
Chalykh, O. A.
1
1988
all top 5

Cited by 174 Authors

25 Veselov, Alexander Petrovich
17 Chalykh, Oleg A.
10 Berest, Yuri Yu.
9 Etingof, Pavel Il’ich
9 Feigin, Misha V.
8 Sergeev, Aleksandr Nikolaevich
6 Langmann, Edwin
6 van Diejen, Jan Felipe
5 Iliev, Plamen
4 Atai, Farrokh
4 Ben Saïd, Salem
4 Ghose Choudhury, Anindya
4 Guha, Partha
4 Haine, Luc
4 Hallnäs, Martin A.
4 Inozemtsev, Vladimir I.
4 Lechtenfeld, Olaf
4 Varchenko, Alexander Nikolaevich
3 Sobreira de Araujo Corrêa, Francisco Julio
3 Emsiz, Erdal
3 Felder, Giovanni
3 Gómez-Ullate, David
3 Kasman, Alex
3 Khodarinova, L. A.
3 Losev, Ivan V.
3 Loutsenko, Igor M.
3 Zheglov, Alexander B.
2 Arutyunov, Gleb Eduardovich
2 Eshmatov, Farkhod
2 Fehér, László Gy.
2 Karpushkin, Vladimir N.
2 Milson, Robert
2 Olivucci, Enrico
2 Ørsted, Bent
2 Previato, Emma
2 Prikhodsky, I. A.
2 Rañada, Manuel F.
2 Silantyev, Alexey
2 Stokman, Jasper V.
2 Strachan, Ian A. B.
2 Winternitz, Pavel
2 Yermolayeva, Oksana
2 Zampieri, Gaetano
1 Almada, Carlos
1 Arsie, Alessandro
1 Arthamonov, Semeon
1 Bandlow, Jason
1 Bardet, Magali
1 Bavula, Vladimir V.
1 Boussaada, Islam
1 Boutet de Monvel, Anne Marie
1 Branson, Thomas Patrick
1 Braverman, Alexander
1 Bukhshtaber, Viktor Matveevich
1 Bulycheva, Kseniya
1 Calogero, Francesco A.
1 Caudrelier, Vincent
1 Chen, Heng-Yu
1 Chouikha, A. Raouf
1 Cramer, Tim
1 Crampé, Nicolas
1 Deleaval, Luc
1 Delgado, Antonia M.
1 Eshmatov, Alimjon
1 Fairon, Maxime
1 Fehér, László M.
1 Felder, D. Zh.
1 Feldman, Joel S.
1 Fernández, Lidia
1 Flores Espinoza, Rubén
1 Fritzsche, Bernd
1 Gaitsgory, Dennis
1 Gambino, Gaetana
1 García-Ferrero, Maria Ángeles
1 García-Saldaña, Johanna D.
1 Garsia, Adriano M.
1 Gasull, Armengol
1 Gintautas, Vadas
1 Ginzburg, Victor
1 Goncharenko, V. M.
1 Görbe, Tamás F.
1 Gordon, Iain Grant
1 Gorni, Gianluca
1 Gorsky, Alexander
1 Goudarzi, Hamid Reza
1 Grandati, Yves
1 Gravel, Simon
1 Grünbaum, Francisco Alberto
1 Gyenge, Ádám
1 Haese-Hill, William A.
1 Hall, Brian C.
1 Hassanabadi, Hassan
1 Hietarinta, Jarmo
1 Hinchcliffe, V.
1 Horozov, Emil Ivanov
1 Hübler, Alfred W.
1 Ikeda, Kaoru
1 Ikot, Akpan Ndem
1 Iorgov, Nikolai
1 Ito, Masahiko
...and 74 more Authors
all top 5

Cited in 66 Serials

19 Journal of Mathematical Physics
15 Communications in Mathematical Physics
15 Advances in Mathematics
10 Letters in Mathematical Physics
8 Theoretical and Mathematical Physics
7 Journal of High Energy Physics
7 Journal of Nonlinear Mathematical Physics
4 Duke Mathematical Journal
4 Functional Analysis and its Applications
4 Journal of Algebra
3 Journal of Mathematical Analysis and Applications
3 Reviews in Mathematical Physics
3 Compositio Mathematica
3 Physica D
3 Indagationes Mathematicae. New Series
3 Selecta Mathematica. New Series
3 Algebras and Representation Theory
3 Journal of Physics A: Mathematical and Theoretical
2 Mathematical Notes
2 Physics Letters. A
2 Journal of Geometry and Physics
2 Journal of Computational and Applied Mathematics
2 Journal of Differential Equations
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Bulletin des Sciences Mathématiques
2 Transformation Groups
2 International Journal of Geometric Methods in Modern Physics
1 International Journal of Modern Physics A
1 Mathematical Methods in the Applied Sciences
1 Nuclear Physics. B
1 Annales de l’Institut Fourier
1 Annales Polonici Mathematici
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Acta Applicandae Mathematicae
1 Constructive Approximation
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Journal of Mathematical Sciences (New York)
1 St. Petersburg Mathematical Journal
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 The Ramanujan Journal
1 Chaos
1 Annals of Mathematics. Second Series
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Lobachevskii Journal of Mathematics
1 Qualitative Theory of Dynamical Systems
1 Czechoslovak Journal of Physics
1 Journal of Hyperbolic Differential Equations
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Proceedings of the Steklov Institute of Mathematics
1 Mathematics in Computer Science
1 Advances in High Energy Physics
1 Analysis and Mathematical Physics
1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika
1 Mathematics
1 Journal of Function Spaces
1 Nelineĭnaya Dinamika

Citations by Year