Edit Profile Chalykh, Oleg A. Compute Distance To: Compute Author ID: chalykh.oleg-a Published as: Chalykh, O.; Chalykh, O. A.; Chalykh, Oleg; Chalykh, Oleg A. Documents Indexed: 32 Publications since 1988 all top 5 Co-Authors 10 single-authored 11 Veselov, Alexander Petrovich 5 Berest, Yuri Yu. 4 Feigin, Misha V. 3 Etingof, Pavel Il’ich 2 Oblomkov, Alexei A. 1 Adler, Vsevolod Eduardovich 1 Bukhshtaber, Viktor Matveevich 1 Dubrovin, Boris Anatol’evich 1 Eshmatov, Farkhod 1 Fairon, Maxime 1 Felder, J. 1 Ferapontov, Evgeny Vladimirovich 1 Goncharenko, V. M. 1 Grinevich, Pëtr Georgievich 1 Krichever, Igor’ Moiseevich 1 Nijhoff, F. V. 1 Novikov, Sergeĭ Petrovich 1 Sergeev, Aleksandr Nikolaevich 1 Silantyev, Alexey 1 Styrkas, K. L. all top 5 Serials 6 Communications in Mathematical Physics 5 Russian Mathematical Surveys 4 Journal of Mathematical Physics 2 Physics Letters. A 2 Theoretical and Mathematical Physics 2 Advances in Mathematics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Journal of Geometry and Physics 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics 1 Moscow Mathematical Journal 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications all top 5 Fields 12 Quantum theory (81-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Partial differential equations (35-XX) 6 Associative rings and algebras (16-XX) 5 Special functions (33-XX) 5 Operator theory (47-XX) 4 Algebraic geometry (14-XX) 4 Nonassociative rings and algebras (17-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Mechanics of particles and systems (70-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 310 times in 177 Documents Cited by ▼ Year ▼ Commutative rings of partial differential operators and Lie algebras. Zbl 0746.47025Chalykh, O. A.; Veselov, A. P. 54 1990 New integrable generalizations of the Calogero-Moser quantum problem. Zbl 0906.34061Chalykh, O.; Feigin, M.; Veselov, A. 30 1998 Multidimensional Baker-Akhiezer functions and Huygens’ principle. Zbl 0972.35110Chalykh, O. A.; Feigin, M. V.; Veselov, A. P. 27 1999 Algebraic integrability for the Schrödinger equation and finite reflection groups. Zbl 0805.47070Veselov, A. P.; Styrkas, K. L.; Chalykh, O. A. 23 1993 A remark on rational isochronous potentials. Zbl 1362.70012Chalykh, Oleg A.; Veselov, Alexander P. 16 2005 Macdonald polynomials and algebraic integrability. Zbl 1004.33009Chalykh, Oleg A. 16 2002 Integrability in the theory of Schrödinger operator and harmonic analysis. Zbl 0767.35066Chalykh, Oleg A.; Veselov, Alexander P. 16 1993 New integrable deformations of the Calogero-Moser quantum problem. Zbl 0874.35098Veselov, A. P.; Feigin, M. V.; Chalykh, O. A. 14 1996 Bispectrality for the quantum Ruijsenaars model and its integrable deformation. Zbl 0987.81038Chalykh, Oleg A. 11 2000 Quasi-invariants of complex reflection groups. Zbl 1233.16018Berest, Yuri; Chalykh, Oleg 10 2011 Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models. Zbl 1418.70026Chalykh, Oleg; Fairon, Maxime 8 2017 Locus configurations and \(\lor{}\)-systems\(^{\star{}}\). Zbl 0969.35529Chalykh, O. A.; Veselov, A. P. 8 2001 KP hierarchy for the cyclic quiver. Zbl 1370.37126Chalykh, Oleg; Silantyev, Alexey 7 2017 \(A_\infty\)-modules and Calogero-Moser spaces. Zbl 1160.16005Berest, Yuri; Chalykh, Oleg 7 2007 Generalized Lamé operators. Zbl 1119.34066Chalykh, Oleg; Etingof, Pavel; Oblomkov, Alexei 7 2003 Integrability and Huygens’ principle on symmetric spaces. Zbl 0859.43004Chalykh, Oleg A.; Veselov, Alexander P. 7 1996 Explicit formulae for spherical functions on symmetric spaces of type AII. Zbl 0760.43004Veselov, A. P.; Chalykh, O. A. 7 1992 Algebro-geometric Schrödinger operators in many dimensions. Zbl 1153.14303Chalykh, Oleg 6 2008 Quantum Lax pairs via Dunkl and Cherednik operators. Zbl 1436.81058Chalykh, Oleg 5 2019 Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. Zbl 1282.33028Chalykh, Oleg; Etingof, Pavel 5 2013 The duality of the generalized Calogero and Ruijsenaars problems. Zbl 0916.35096Chalykh, O. A. 5 1997 Additional integrals of the generalized quantum Calogero-Moser problem. Zbl 0942.81009Chalykh, O. A. 5 1996 Bispectral rings of difference operators. Zbl 0977.39012Nijhoff, F. V.; Chalykh, O. A. 4 1999 Darboux transformations for multidimensional Schrödinger operators. Zbl 0922.35009Chalykh, O. A. 4 1998 Recollement of deformed preprojective algebras and the Calogero-Moser correspondence. Zbl 1207.16034Berest, Yuri; Chalykh, Oleg; Eshmatov, Farkhod 3 2008 A construction of commutative rings of differential operators. Zbl 0813.47058Chalykh, O. A. 2 1993 Harmonic oscillator and Darboux transformations in many dimensions. Zbl 0948.81539Chalykh, O. A.; Oblomkov, A. A. 1 2000 Multidimensional integrable Schrödinger operators with matrix potential. Zbl 0952.37037Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P. 1 1999 On some properties of polynomial mappings related to Lie algebras. Zbl 0656.17008Chalykh, O. A. 1 1988 Quantum Lax pairs via Dunkl and Cherednik operators. Zbl 1436.81058Chalykh, Oleg 5 2019 Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models. Zbl 1418.70026Chalykh, Oleg; Fairon, Maxime 8 2017 KP hierarchy for the cyclic quiver. Zbl 1370.37126Chalykh, Oleg; Silantyev, Alexey 7 2017 Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions. Zbl 1282.33028Chalykh, Oleg; Etingof, Pavel 5 2013 Quasi-invariants of complex reflection groups. Zbl 1233.16018Berest, Yuri; Chalykh, Oleg 10 2011 Algebro-geometric Schrödinger operators in many dimensions. Zbl 1153.14303Chalykh, Oleg 6 2008 Recollement of deformed preprojective algebras and the Calogero-Moser correspondence. Zbl 1207.16034Berest, Yuri; Chalykh, Oleg; Eshmatov, Farkhod 3 2008 \(A_\infty\)-modules and Calogero-Moser spaces. Zbl 1160.16005Berest, Yuri; Chalykh, Oleg 7 2007 A remark on rational isochronous potentials. Zbl 1362.70012Chalykh, Oleg A.; Veselov, Alexander P. 16 2005 Generalized Lamé operators. Zbl 1119.34066Chalykh, Oleg; Etingof, Pavel; Oblomkov, Alexei 7 2003 Macdonald polynomials and algebraic integrability. Zbl 1004.33009Chalykh, Oleg A. 16 2002 Locus configurations and \(\lor{}\)-systems\(^{\star{}}\). Zbl 0969.35529Chalykh, O. A.; Veselov, A. P. 8 2001 Bispectrality for the quantum Ruijsenaars model and its integrable deformation. Zbl 0987.81038Chalykh, Oleg A. 11 2000 Harmonic oscillator and Darboux transformations in many dimensions. Zbl 0948.81539Chalykh, O. A.; Oblomkov, A. A. 1 2000 Multidimensional Baker-Akhiezer functions and Huygens’ principle. Zbl 0972.35110Chalykh, O. A.; Feigin, M. V.; Veselov, A. P. 27 1999 Bispectral rings of difference operators. Zbl 0977.39012Nijhoff, F. V.; Chalykh, O. A. 4 1999 Multidimensional integrable Schrödinger operators with matrix potential. Zbl 0952.37037Chalykh, O. A.; Goncharenko, V. M.; Veselov, A. P. 1 1999 New integrable generalizations of the Calogero-Moser quantum problem. Zbl 0906.34061Chalykh, O.; Feigin, M.; Veselov, A. 30 1998 Darboux transformations for multidimensional Schrödinger operators. Zbl 0922.35009Chalykh, O. A. 4 1998 The duality of the generalized Calogero and Ruijsenaars problems. Zbl 0916.35096Chalykh, O. A. 5 1997 New integrable deformations of the Calogero-Moser quantum problem. Zbl 0874.35098Veselov, A. P.; Feigin, M. V.; Chalykh, O. A. 14 1996 Integrability and Huygens’ principle on symmetric spaces. Zbl 0859.43004Chalykh, Oleg A.; Veselov, Alexander P. 7 1996 Additional integrals of the generalized quantum Calogero-Moser problem. Zbl 0942.81009Chalykh, O. A. 5 1996 Algebraic integrability for the Schrödinger equation and finite reflection groups. Zbl 0805.47070Veselov, A. P.; Styrkas, K. L.; Chalykh, O. A. 23 1993 Integrability in the theory of Schrödinger operator and harmonic analysis. Zbl 0767.35066Chalykh, Oleg A.; Veselov, Alexander P. 16 1993 A construction of commutative rings of differential operators. Zbl 0813.47058Chalykh, O. A. 2 1993 Explicit formulae for spherical functions on symmetric spaces of type AII. Zbl 0760.43004Veselov, A. P.; Chalykh, O. A. 7 1992 Commutative rings of partial differential operators and Lie algebras. Zbl 0746.47025Chalykh, O. A.; Veselov, A. P. 54 1990 On some properties of polynomial mappings related to Lie algebras. Zbl 0656.17008Chalykh, O. A. 1 1988 all cited Publications top 5 cited Publications 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 all top 5 Cited in 34 Fields 67 Quantum theory (81-XX) 49 Dynamical systems and ergodic theory (37-XX) 43 Partial differential equations (35-XX) 33 Special functions (33-XX) 26 Nonassociative rings and algebras (17-XX) 24 Group theory and generalizations (20-XX) 22 Associative rings and algebras (16-XX) 20 Differential geometry (53-XX) 18 Algebraic geometry (14-XX) 15 Ordinary differential equations (34-XX) 13 Difference and functional equations (39-XX) 13 Mechanics of particles and systems (70-XX) 11 Operator theory (47-XX) 10 Combinatorics (05-XX) 9 Commutative algebra (13-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Abstract harmonic analysis (43-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 4 Category theory; homological algebra (18-XX) 4 Topological groups, Lie groups (22-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 1 \(K\)-theory (19-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year