Edit Profile (opens in new tab) Perelomov, Askold M. Co-Author Distance Author ID: perelomov.askold-m Published as: Perelomov, A. M.; Perelomov, Askold M.; Perelomov, A. more...less Documents Indexed: 109 Publications since 1965, including 5 Books Co-Authors: 43 Co-Authors with 71 Joint Publications 1,292 Co-Co-Authors all top 5 Co-Authors 37 single-authored 17 Olshanetsky, Mikhail A. 15 García Fuertes, Wilfredo 11 Fernández-Núñez, José 5 Cariñena, José F. 5 Marmo, Giuseppe 5 Morozov, Alexei Yurievich 5 Popov, Victor S. 3 Alekseevskiĭ, Dmitriĭ Vladimirovich 3 de Azcárraga, José A. 3 Markushevich, Dimitri Genrikhovich 3 Monastyrskiĭ, Mikhail Il’ich 3 Pakuliak, Stanislav Z. 3 Pérez Bueno, Juan C. 3 Rosly, A. A. 2 Berezin, Feliks Aleksandrovich 2 Degasperis, Antonio 2 Grabowski, Janusz 2 Kamalin, S. A. 2 Kogan, Yan I. 2 Lebedev, Dmitrii R. 2 Rañada, Manuel F. 2 Santander, Mariano 2 Santini, Paolo Maria 1 Asorey, Manuel 1 Borisov, Alekseĭ Vladimirovich 1 Boya, Luis Joaquín 1 Bukhshtaber, Viktor Matveevich 1 Calogero, Francesco A. 1 Fernández Núñeez, J. 1 Gavrilov, Lubomir 1 Ibort, Alberto 1 Izquierdo, José Manuel 1 Mamaev, Ivan Sergeevich 1 Mikhajlov, A. V. 1 Moroz, Boris Zelikovich Baruch ben Zelik 1 Pelantová, Edita 1 Ragnisco, Orlando 1 Ragoucy, Eric 1 Reyman, Alexey G. 1 Roan, Shih-shyr 1 Semenov-Tyan-Shanskiĭ, Mikhail Arsen’evich 1 Shifman, Mikhail A. 1 Simoni, Alberto 1 Turbiner, Alexander 1 Zel’dovich, Yakov Borisovich all top 5 Serials 11 Communications in Mathematical Physics 10 Functional Analysis and its Applications 10 Journal of Physics A: Mathematical and General 9 Journal of Mathematical Physics 8 Theoretical and Mathematical Physics 7 Journal of Nonlinear Mathematical Physics 5 International Journal of Modern Physics A 3 Modern Physics Letters A 3 Letters in Mathematical Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 3 Funktsional’nyĭ Analiz i ego Prilozheniya 3 Journal of Physics A: Mathematical and Theoretical 2 Reports on Mathematical Physics 2 Inventiones Mathematicae 2 Soviet Mathematics. Doklady 2 Physica D 1 Helvetica Physica Acta 1 Physics Letters. A 1 Soviet Scientific Reviews. Section C 1 Journal of Geometry and Physics 1 Mathematics of the USSR. Izvestiya 1 Annals of Physics 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Linear Algebra and its Applications 1 Soviet Physics. Doklady 1 Regular and Chaotic Dynamics 1 Mediterranean Journal of Mathematics 1 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya 1 Communications in Mathematics 1 Texts and Monographs in Physics all top 5 Fields 42 Quantum theory (81-XX) 36 Dynamical systems and ergodic theory (37-XX) 25 Nonassociative rings and algebras (17-XX) 25 Mechanics of particles and systems (70-XX) 22 Topological groups, Lie groups (22-XX) 15 Differential geometry (53-XX) 12 Special functions (33-XX) 11 Partial differential equations (35-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Global analysis, analysis on manifolds (58-XX) 5 Algebraic geometry (14-XX) 3 Group theory and generalizations (20-XX) 3 Ordinary differential equations (34-XX) 3 Abstract harmonic analysis (43-XX) 3 Fluid mechanics (76-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,899 times in 1,616 Documents Cited by ▼ Year ▼ Generalized coherent states and their applications. Zbl 0605.22013Perelomov, A. 628 1986 Coherent states for arbitrary Lie group. Zbl 0243.22016Perelomov, A. M. 274 1972 Integrable systems of classical mechanics and Lie algebras. (Интегрируемые системы классической механики и алгебры Ли.) Zbl 0717.70003Perelomov, A. M. 169 1990 Two-dimensional generalized Toda lattice. Zbl 0491.35061Mikhajlov, A. V.; Olshanetskij, M. A.; Perelomov, A. M. 87 1981 Completely integrable Hamiltonian systems connected with semisimple Lie algebras. Zbl 0342.58017Olshanetsky, M. A.; Perelomov, A. M. 86 1976 Invariant Kähler-Einstein metrics on compact homogeneous spaces. Zbl 0641.53050Alekseevskii, D. V.; Perelomov, A. M. 45 1986 A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M. 42 2008 Quantum completely integrable systems connected with semi-simple Lie algebras. Zbl 0366.58005Olshanetsky, M. A.; Perelomov, A. M. 41 1977 Quasi-exactly-solvable quantal problems: one-dimensional analogue of rational conformal field theories. Zbl 0709.58048Morozov, A. Yu.; Perelomov, A. M.; Roslyĭ, A. A.; Shifman, M. A.; Turbiner, A. V. 35 1990 Poisson structures: Towards a classification. Zbl 1020.37529Grabowski, J.; Marmo, G.; Perelomov, A. M. 33 1993 Generalized coherent states and their applications. (Обобщенные когерентные состояния и их применения.) Zbl 0672.22019Perelomov, A. M. 32 1987 Explicit solutions of classical generalized Toda models. Zbl 0419.58008Olshanetsky, M. A.; Perelomov, A. M. 31 1979 The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. Zbl 0898.58026de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C. 20 1996 Casimir operators for semisimple Lie groups. Zbl 0197.30404Perelomov, A. M.; Popov, V. S. 19 1970 Completely integrable classical systems connected with semisimple Lie algebras. Zbl 0343.70010Olshanetsky, M. A.; Perelomov, A. M. 19 1976 Quantum systems related to root systems, and radial parts of Laplace operators. Zbl 0407.43012Ol’shanetskij, M. A.; Perelomov, A. M. 18 1978 Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F. 17 1998 Integrable systems of classical mechanics and Lie algebras. Volume I. Transl. from the Russian by A. G. Reyman. Zbl 0699.70003Perelomov, A. M. 14 1990 Description of a class of superstring compactifications related to semi- simple Lie algebras. Zbl 0628.53065Markushevich, D. G.; Olshanetskij, M. A.; Perelomov, A. M. 14 1987 Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter. Zbl 0739.35090Degasperis, A.; Lebedev, D.; Olshanetskii, M.; Pakulyak, S.; Perelomov, A.; Santini, P. 13 1991 Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid. Zbl 0495.70016Perelomov, A. M. 13 1981 Quantum mechanics: selected topics. Zbl 0916.00004Perelomov, Askold M.; Zel’dovich, Yakov B. 11 1998 On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A. 10 1994 Some Diophantine relations involving circular functions of rational angles. Zbl 0399.15006Calogero, F.; Perelomov, A. M. 10 1979 Quantum integrable systems and Clebsch-Gordan series. I. Zbl 0956.81093Perelomov, A. M. 9 1998 Lax representation for the systems of S. Kovalevskaya type. Zbl 0478.70005Perelomov, A. M. 8 1981 Poisson and symplectic structures on Lie algebras. I. Zbl 0874.22018Alekseevsky, D. V.; Perelomov, A. M. 8 1997 New generalized Poisson structures. Zbl 0912.53019de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C. 8 1996 On the generating function of weight multiplicities for the representations of the Lie algebra \(C_2\). Zbl 1387.17018Fernández-Núñez, José; García-Fuertes, Wifredo; Perelomov, Askold M. 8 2015 Coherent states for the Lobachevskian plane. Zbl 0295.22021Perelomov, A. M. 7 1974 Generalized intermediate long-wave hierarchy in zero-curvature representation with noncommutative spectral parameter. Zbl 0761.35094Degasperis, A.; Lebedev, D.; Olshanetsky, M.; Pakuliak, S.; Perelomov, A.; Santini, P. M. 7 1992 On a problem posed by Pauli. Zbl 0856.46049Moroz, B. Z.; Perelomov, A. M. 7 1994 On an approach for computing the generating functions of the characters of simple Lie algebras. Zbl 1287.81057Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. 7 2014 Explicit solution of the quantum three-body Calogero-Sutherland model. Zbl 0964.33006Perelomov, A. M.; Ragoucy, E.; Zaugg, Ph. 7 1998 Quantum integrable systems and Clebsch-Gordan series. II. Zbl 0976.33006Perelomov, A. M. 7 1999 On the explicit solutions of the elliptic Calogero system. Zbl 0952.37017Gavrilov, L.; Perelomov, A. M. 7 1999 An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model. Zbl 1098.81789García Fuertes, W.; Lorente, M.; Perelomov, A. M. 7 2001 Berry phase in homogeneous Kähler manifolds with linear Hamiltonians. Zbl 1019.81021Boya, Luis J.; Perelomov, Askold M.; Santander, Mariano 7 2001 Derivatives of generalized Gegenbauer polynomials. Zbl 1053.33008García Fuertes, W.; Perelomov, A. M. 6 2002 Instantons and Kähler manifolds. Zbl 0406.58007Perelomov, A. M. 6 1978 A perturbative approach to the quantum elliptic Calogero-Sutherland model. Zbl 1006.81023Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M. 5 2003 Instanton-like solutions in chiral models. Zbl 1194.35349Perelomov, A. M. 5 1981 Coherent states and symmetric spaces. Zbl 0324.22010Perelomov, A. M. 5 1975 Irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_6\): an approach through the quantum Calogero-Sutherland model. Zbl 1362.81044Fernández-Núñez, J.; Garcia-Fuertes, W.; Perelomov, A. M. 5 2005 Generating functions and multiplicity formulas: the case of rank two simple Lie algebras. Zbl 1357.17011Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. 5 2015 The \(Z_ 2\)-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures. Zbl 0883.58007de Azcárraga, J. A.; Izquierdo, J. M.; Perelomov, A. M.; Pérez-Bueno, J. C. 4 1997 On the completeness of some subsystems of \(q\)-deformed coherent states. Zbl 0848.17013Perelomov, A. M. 4 1995 Relations between hyperelliptic integrals. Zbl 1020.14504Pakuliak, S.; Perelomov, A. 4 1994 Hypergeometric solutions of some algebraic equations. Zbl 1178.33013Perelomov, A. M. 4 2004 Construction of canonical coordinates on polarized coadjoint orbits of Lie groups. Zbl 0578.58016Kamalin, S. A.; Perelomov, A. M. 4 1985 Casimir operators for the orthogonal and symplectic groups. Zbl 0154.46402Perelomov, A. M.; Popov, V. S. 3 1965 Casimir operators for classical groups. Zbl 0256.20056Perelomov, A. M.; Popov, V. S. 3 1967 Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(D_4\). Zbl 1062.81081Fernández-Núñez, J.; García Fuertes, W.; Perelomov, A. M. 3 2003 Group-theoretical interpretation of the Korteweg-de Vries type equations. Zbl 0429.35062Berezin, F. A.; Perelomov, A. M. 3 1980 Coherent states and bounded homogeneous domains. Zbl 0308.32022Monastyrskij, M. I.; Perelomov, A. M. 3 1974 Integrable systems and Lie algebras. Zbl 0592.70012Ol’shanetskij, M. A.; Perelomov, A. M. 3 1982 Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A. 3 1996 Generating functions for characters and weight multiplicities of irreducible \(\mathfrak{sl}(4)\)-modules. Zbl 1417.81136Ferńandez Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. 2 2018 Classical integrable systems: selected topics. Zbl 1078.81034Perelomov, A. M. 2 2002 Motion of four-dimensional rigid body around a fixed point: an elementary approach. I. Zbl 1078.70007Perelomov, A. M. 2 2005 On the functional equation related to the quantum three-body problem. Zbl 0857.39013Buchstaber, V. M.; Perelomov, A. M. 2 1996 Kovalevskaya top: An elementary approach. Zbl 1042.70005Perelomov, A. M. 2 2002 Equilibrium configurations and small oscillations of some dynamical systems. Zbl 0427.70024Perelomov, A. M. 2 1978 Coherent states and symmetric spaces. II. Zbl 0339.22017Monastyrsky, M. I.; Perelomov, A. M. 2 1975 Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case. Zbl 0348.53030Ol’saneckii, M. A.; Perelomov, A. M. 2 1977 Explicit solutions of some completely integrable Hamiltonian systems. Zbl 0369.58013Ol’saneckii, M. A.; Perelomov, A. M. 2 1977 Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A. 2 2007 Coherent states and bounded homogeneous domains. Zbl 0294.32019Monastyrskij, M. I.; Perelomov, A. M. 1 1972 Casimiroperatoren für halbeinfache Liegruppen. Zbl 0185.07401Perelomov, A. M.; Popov, V. S. 1 1968 On the connection of matrix elements of the SU(1,1) discrete series representations with SU(2) matrix elements. Zbl 0237.22016Perelomov, A. M. 1 1971 Generating function for Casimir operators. Zbl 0254.22010Popov, V. S.; Perelomov, A. M. 1 1967 Euler’s triangle and the decomposition of tensor powers of the adjoint \(\mathfrak{sl}(2)\)-module. Zbl 1436.17013Perelomov, Askold M. 1 2020 Group theoretic interpretation of equations of Korteweg-de Vries type. Zbl 0477.35078Berezin, F. A.; Perelomov, A. M. 1 1980 A note on geodesics on an ellipsoid. Zbl 0947.70011Perelomov, A. M. 1 2000 Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\). Zbl 1163.81006Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M. 1 2008 The simple relation between certain dynamical systems. Zbl 0435.70013Perelomov, A. M. 1 1978 Some examples of algebraic geodesics on quadrics. Zbl 1168.53023Perelomov, A. M. 1 2009 Schrödinger equation spectrum and Korteweg-de Vries type invariants. Zbl 0323.35023Perelomov, A. M. 1 1976 Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(E_{6}\). Zbl 1110.81102Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M. 1 2005 Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_7\). Zbl 1111.81085Fernández Núñeez, J.; García Fuertes, W.; Perelomov, A. M. 1 2005 On construction of canonical coordinates on orbits of a coadjoint representation of graded Lie groups. Zbl 0561.22007Kamalin, S. A.; Perelomov, A. M. 1 1984 Integrability of two interacting \(n\)-dimensional rigid bodies. Zbl 0596.58019Perelomov, A. M.; Ragnisco, O.; Wojciechowski, S. 1 1986 Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the \(A_n\) Lie algebra. Zbl 07638129Perelomov, A. M. 1 2022 Euler’s difference table and the decomposition of tensor powers of the adjoint representation of the \(A_n\) Lie algebra. Zbl 07638129Perelomov, A. M. 1 2022 Euler’s triangle and the decomposition of tensor powers of the adjoint \(\mathfrak{sl}(2)\)-module. Zbl 1436.17013Perelomov, Askold M. 1 2020 Generating functions for characters and weight multiplicities of irreducible \(\mathfrak{sl}(4)\)-modules. Zbl 1417.81136Ferńandez Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. 2 2018 On the generating function of weight multiplicities for the representations of the Lie algebra \(C_2\). Zbl 1387.17018Fernández-Núñez, José; García-Fuertes, Wifredo; Perelomov, Askold M. 8 2015 Generating functions and multiplicity formulas: the case of rank two simple Lie algebras. Zbl 1357.17011Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. 5 2015 On an approach for computing the generating functions of the characters of simple Lie algebras. Zbl 1287.81057Fernández Núñez, José; García Fuertes, Wifredo; Perelomov, Askold M. 7 2014 Some examples of algebraic geodesics on quadrics. Zbl 1168.53023Perelomov, A. M. 1 2009 A quantum exactly solvable nonlinear oscillator related to the isotonic oscillator. Zbl 1138.81380Cariñena, J. F.; Perelomov, A. M.; Rañada, M. F.; Santander, M. 42 2008 Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero-Sutherland model related to the exceptional algebra \(E _{7}\). Zbl 1163.81006Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M. 1 2008 Isoperiodic classical systems and their quantum counterparts. Zbl 1114.81034Asorey, M.; Cariñena, J. F.; Marmo, G.; Perelomov, A. 2 2007 Irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_6\): an approach through the quantum Calogero-Sutherland model. Zbl 1362.81044Fernández-Núñez, J.; Garcia-Fuertes, W.; Perelomov, A. M. 5 2005 Motion of four-dimensional rigid body around a fixed point: an elementary approach. I. Zbl 1078.70007Perelomov, A. M. 2 2005 Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(E_{6}\). Zbl 1110.81102Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M. 1 2005 Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra \(E_7\). Zbl 1111.81085Fernández Núñeez, J.; García Fuertes, W.; Perelomov, A. M. 1 2005 Hypergeometric solutions of some algebraic equations. Zbl 1178.33013Perelomov, A. M. 4 2004 A perturbative approach to the quantum elliptic Calogero-Sutherland model. Zbl 1006.81023Fernández Núñez, J.; García Fuertes, W.; Perelomov, A. M. 5 2003 Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra \(D_4\). Zbl 1062.81081Fernández-Núñez, J.; García Fuertes, W.; Perelomov, A. M. 3 2003 Derivatives of generalized Gegenbauer polynomials. Zbl 1053.33008García Fuertes, W.; Perelomov, A. M. 6 2002 Classical integrable systems: selected topics. Zbl 1078.81034Perelomov, A. M. 2 2002 Kovalevskaya top: An elementary approach. Zbl 1042.70005Perelomov, A. M. 2 2002 An elementary construction of lowering and raising operators for the trigonometric Calogero-Sutherland model. Zbl 1098.81789García Fuertes, W.; Lorente, M.; Perelomov, A. M. 7 2001 Berry phase in homogeneous Kähler manifolds with linear Hamiltonians. Zbl 1019.81021Boya, Luis J.; Perelomov, Askold M.; Santander, Mariano 7 2001 A note on geodesics on an ellipsoid. Zbl 0947.70011Perelomov, A. M. 1 2000 Quantum integrable systems and Clebsch-Gordan series. II. Zbl 0976.33006Perelomov, A. M. 7 1999 On the explicit solutions of the elliptic Calogero system. Zbl 0952.37017Gavrilov, L.; Perelomov, A. M. 7 1999 Related operators and exact solutions of Schrödinger equations. Zbl 0927.34065Cariñena, J. F.; Marmo, G.; Perelomov, A. M.; Rañada, M. F. 17 1998 Quantum mechanics: selected topics. Zbl 0916.00004Perelomov, Askold M.; Zel’dovich, Yakov B. 11 1998 Quantum integrable systems and Clebsch-Gordan series. I. Zbl 0956.81093Perelomov, A. M. 9 1998 Explicit solution of the quantum three-body Calogero-Sutherland model. Zbl 0964.33006Perelomov, A. M.; Ragoucy, E.; Zaugg, Ph. 7 1998 Poisson and symplectic structures on Lie algebras. I. Zbl 0874.22018Alekseevsky, D. V.; Perelomov, A. M. 8 1997 The \(Z_ 2\)-graded Schouten-Nijenhuis bracket and generalized super-Poisson structures. Zbl 0883.58007de Azcárraga, J. A.; Izquierdo, J. M.; Perelomov, A. M.; Pérez-Bueno, J. C. 4 1997 The Schouten-Nijenhuis bracket, cohomology and generalized Poisson structures. Zbl 0898.58026de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C. 20 1996 New generalized Poisson structures. Zbl 0912.53019de Azcárraga, J. A.; Perelomov, A. M.; Pérez Bueno, J. C. 8 1996 Remarks on Virasoro and Kac-Moody algebras. Zbl 1044.17506Grabowski, J.; Marmo, G.; Perelomov, A.; Simoni, A. 3 1996 On the functional equation related to the quantum three-body problem. Zbl 0857.39013Buchstaber, V. M.; Perelomov, A. M. 2 1996 On the completeness of some subsystems of \(q\)-deformed coherent states. Zbl 0848.17013Perelomov, A. M. 4 1995 On the geometry of Lie algebras and Poisson tensors. Zbl 0847.58025Cariñena, J. F.; Ibort, A.; Marmo, G.; Perelomov, A. 10 1994 On a problem posed by Pauli. Zbl 0856.46049Moroz, B. Z.; Perelomov, A. M. 7 1994 Relations between hyperelliptic integrals. Zbl 1020.14504Pakuliak, S.; Perelomov, A. 4 1994 Poisson structures: Towards a classification. Zbl 1020.37529Grabowski, J.; Marmo, G.; Perelomov, A. M. 33 1993 Generalized intermediate long-wave hierarchy in zero-curvature representation with noncommutative spectral parameter. Zbl 0761.35094Degasperis, A.; Lebedev, D.; Olshanetsky, M.; Pakuliak, S.; Perelomov, A.; Santini, P. M. 7 1992 Nonlocal integrable partners to generalized MKdV and two-dimensional Toda lattice equation in the formalism of a dressing method with quantized spectral parameter. Zbl 0739.35090Degasperis, A.; Lebedev, D.; Olshanetskii, M.; Pakulyak, S.; Perelomov, A.; Santini, P. 13 1991 Integrable systems of classical mechanics and Lie algebras. (Интегрируемые системы классической механики и алгебры Ли.) Zbl 0717.70003Perelomov, A. M. 169 1990 Quasi-exactly-solvable quantal problems: one-dimensional analogue of rational conformal field theories. Zbl 0709.58048Morozov, A. Yu.; Perelomov, A. M.; Roslyĭ, A. A.; Shifman, M. A.; Turbiner, A. V. 35 1990 Integrable systems of classical mechanics and Lie algebras. Volume I. Transl. from the Russian by A. G. Reyman. Zbl 0699.70003Perelomov, A. M. 14 1990 Generalized coherent states and their applications. (Обобщенные когерентные состояния и их применения.) Zbl 0672.22019Perelomov, A. M. 32 1987 Description of a class of superstring compactifications related to semi- simple Lie algebras. Zbl 0628.53065Markushevich, D. G.; Olshanetskij, M. A.; Perelomov, A. M. 14 1987 Generalized coherent states and their applications. Zbl 0605.22013Perelomov, A. 628 1986 Invariant Kähler-Einstein metrics on compact homogeneous spaces. Zbl 0641.53050Alekseevskii, D. V.; Perelomov, A. M. 45 1986 Integrability of two interacting \(n\)-dimensional rigid bodies. Zbl 0596.58019Perelomov, A. M.; Ragnisco, O.; Wojciechowski, S. 1 1986 Construction of canonical coordinates on polarized coadjoint orbits of Lie groups. Zbl 0578.58016Kamalin, S. A.; Perelomov, A. M. 4 1985 On construction of canonical coordinates on orbits of a coadjoint representation of graded Lie groups. Zbl 0561.22007Kamalin, S. A.; Perelomov, A. M. 1 1984 Integrable systems and Lie algebras. Zbl 0592.70012Ol’shanetskij, M. A.; Perelomov, A. M. 3 1982 Two-dimensional generalized Toda lattice. Zbl 0491.35061Mikhajlov, A. V.; Olshanetskij, M. A.; Perelomov, A. M. 87 1981 Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid. Zbl 0495.70016Perelomov, A. M. 13 1981 Lax representation for the systems of S. Kovalevskaya type. Zbl 0478.70005Perelomov, A. M. 8 1981 Instanton-like solutions in chiral models. Zbl 1194.35349Perelomov, A. M. 5 1981 Group-theoretical interpretation of the Korteweg-de Vries type equations. Zbl 0429.35062Berezin, F. A.; Perelomov, A. M. 3 1980 Group theoretic interpretation of equations of Korteweg-de Vries type. Zbl 0477.35078Berezin, F. A.; Perelomov, A. M. 1 1980 Explicit solutions of classical generalized Toda models. Zbl 0419.58008Olshanetsky, M. A.; Perelomov, A. M. 31 1979 Some Diophantine relations involving circular functions of rational angles. Zbl 0399.15006Calogero, F.; Perelomov, A. M. 10 1979 Quantum systems related to root systems, and radial parts of Laplace operators. Zbl 0407.43012Ol’shanetskij, M. A.; Perelomov, A. M. 18 1978 Instantons and Kähler manifolds. Zbl 0406.58007Perelomov, A. M. 6 1978 Equilibrium configurations and small oscillations of some dynamical systems. Zbl 0427.70024Perelomov, A. M. 2 1978 The simple relation between certain dynamical systems. Zbl 0435.70013Perelomov, A. M. 1 1978 Quantum completely integrable systems connected with semi-simple Lie algebras. Zbl 0366.58005Olshanetsky, M. A.; Perelomov, A. M. 41 1977 Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case. Zbl 0348.53030Ol’saneckii, M. A.; Perelomov, A. M. 2 1977 Explicit solutions of some completely integrable Hamiltonian systems. Zbl 0369.58013Ol’saneckii, M. A.; Perelomov, A. M. 2 1977 Completely integrable Hamiltonian systems connected with semisimple Lie algebras. Zbl 0342.58017Olshanetsky, M. A.; Perelomov, A. M. 86 1976 Completely integrable classical systems connected with semisimple Lie algebras. Zbl 0343.70010Olshanetsky, M. A.; Perelomov, A. M. 19 1976 Schrödinger equation spectrum and Korteweg-de Vries type invariants. Zbl 0323.35023Perelomov, A. M. 1 1976 Coherent states and symmetric spaces. Zbl 0324.22010Perelomov, A. M. 5 1975 Coherent states and symmetric spaces. II. Zbl 0339.22017Monastyrsky, M. I.; Perelomov, A. M. 2 1975 Coherent states for the Lobachevskian plane. Zbl 0295.22021Perelomov, A. M. 7 1974 Coherent states and bounded homogeneous domains. Zbl 0308.32022Monastyrskij, M. I.; Perelomov, A. M. 3 1974 Coherent states for arbitrary Lie group. Zbl 0243.22016Perelomov, A. M. 274 1972 Coherent states and bounded homogeneous domains. Zbl 0294.32019Monastyrskij, M. I.; Perelomov, A. M. 1 1972 On the connection of matrix elements of the SU(1,1) discrete series representations with SU(2) matrix elements. Zbl 0237.22016Perelomov, A. M. 1 1971 Casimir operators for semisimple Lie groups. Zbl 0197.30404Perelomov, A. M.; Popov, V. S. 19 1970 Casimiroperatoren für halbeinfache Liegruppen. Zbl 0185.07401Perelomov, A. M.; Popov, V. S. 1 1968 Casimir operators for classical groups. Zbl 0256.20056Perelomov, A. M.; Popov, V. S. 3 1967 Generating function for Casimir operators. Zbl 0254.22010Popov, V. S.; Perelomov, A. M. 1 1967 Casimir operators for the orthogonal and symplectic groups. Zbl 0154.46402Perelomov, A. M.; Popov, V. S. 3 1965 all cited Publications top 5 cited Publications all top 5 Cited by 1,920 Authors 30 Perelomov, Askold M. 18 Hassouni, Yassine 14 Marquette, Ian 14 Veselov, Alexander Petrovich 12 Arvanitoyeorgos, Andreas 12 Olshanetsky, Mikhail A. 12 Vourdas, Apostolos 11 Berrada, K. 11 Chrysikos, Ioannis 11 Fehér, László Gy. 11 Gazeau, Jean-Pierre 11 Halpern, Martin B. 11 Marmo, Giuseppe 11 Ojeda-Guillén, D. 11 Pusztai, Béla Gábor 10 Calixto, Manuel 10 Damianou, Pantelis Andrea 10 Dong, Shihai 10 García Fuertes, Wilfredo 10 Mouayn, Zouhaïr 9 Berceanu, Stefan 9 Fakhri, Hossein 9 Granados, Victor D. 9 Ivashchuk, Vladimir D. 9 Mota, Roberto D. 9 Vitiello, Giuseppe 8 Alekseevskiĭ, Dmitriĭ Vladimirovich 8 Ali, Syed Twareque 8 Antoine, Jean-Pierre 8 Fring, Andreas 8 Hussin, Véronique 8 Quesne, Christiane 8 Rañada, Manuel F. 7 Cariñena, José F. 7 Chenaghlou, Alireza 7 Fernández-Núñez, José 7 Karasev, Mikhail Vladimirovich 7 Langmann, Edwin 7 Odzijewicz, Anatol 7 Plyushchay, Mikhail S. 6 Büyükaşık, Şirin A. 6 Calogero, Francesco A. 6 Cruz y Cruz, Sara 6 da Providência Santarém e Costa, João 6 Daoud, Mohammed 6 de Azcárraga, José A. 6 Gerdzhikov, Vladimir Stefanov 6 Guerrero, Julio 6 Karassiov, Valery P. 6 Kisil, Vladimir V. 6 Klimov, Andrei B. 6 Sakane, Yusuke 6 Salazar-Ramírez, M. 6 Sasaki, Ryu 6 Spera, Mauro 6 Steinacker, Harold C. 6 Tsyganov, Andreĭ Vladimirovich 6 Turbiner, Alexander 6 Zelaya, Kevin 6 Zhang, Yaozhong 5 Bagarello, Fabio 5 Blasone, Massimo 5 Chalykh, Oleg A. 5 Dehghani, Alireza 5 Fedorov, Yuri N. 5 Feigin, Misha V. 5 Fernando, Sudarshan 5 Günaydin, Murat 5 Guha, Partha 5 Khabibullin, Ismagil Talgatovich 5 Iqbal, Shahid 5 Jizba, Petr 5 Kamran, Niky 5 Kuś, Marek 5 Livine, Etera R. 5 Mahdifar, Ali 5 Mojaveri, Bashir 5 Nishiyama, Seiya 5 Obada, Abdel-Shafy Fahmy 5 Pashaev, Oktay K. 5 Reyman, Alexey G. 5 Rosas-Ortiz, Oscar 5 Sánchez-Soto, Luis L. 5 Senthilvelan, Murugaian 5 Sun, Guohua 5 van de Ven, Christiaan J. F. 5 Wang, Yu 5 Zhao, Guosong 4 Adler, Mark 4 Ballesteros, Angel 4 Ban, Masashi 4 Borzov, Vadim V. 4 Campoamor-Stursberg, Rutwig 4 Castro-Alvaredo, Olalla A. 4 Sobreira de Araujo Corrêa, Francisco Julio 4 Dunne, Gerald V. 4 Eleuch, Hichem 4 Fan, Hong-Yi 4 Farashahi, Arash Ghaani 4 Fordy, Allan P. ...and 1,820 more Authors all top 5 Cited in 231 Serials 238 Journal of Mathematical Physics 92 Physics Letters. A 86 Communications in Mathematical Physics 62 Nuclear Physics. B 62 Theoretical and Mathematical Physics 60 International Journal of Theoretical Physics 58 Journal of Geometry and Physics 58 Annals of Physics 42 Journal of High Energy Physics 41 Letters in Mathematical Physics 41 Journal of Physics A: Mathematical and Theoretical 31 Reports on Mathematical Physics 30 International Journal of Modern Physics A 24 Journal of Nonlinear Mathematical Physics 21 Physica D 17 Journal of Modern Optics 16 Quantum Information Processing 15 Classical and Quantum Gravity 15 International Journal of Geometric Methods in Modern Physics 14 Modern Physics Letters A 14 Reviews in Mathematical Physics 13 Journal of Mathematical Sciences (New York) 13 Regular and Chaotic Dynamics 11 International Journal of Modern Physics B 11 Functional Analysis and its Applications 10 Journal of Mathematical Analysis and Applications 10 Mathematical Notes 10 Physics Letters. B 10 Annales de l’Institut Henri Poincaré. Physique Théorique 10 Journal of Mathematical Chemistry 10 Physical Review Letters 9 Journal of Statistical Physics 9 Journal of Algebra 9 Differential Geometry and its Applications 9 Foundations of Physics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Physica A 8 Journal of Computational and Applied Mathematics 7 Chaos, Solitons and Fractals 7 Inventiones Mathematicae 7 Journal of Functional Analysis 7 Transactions of the American Mathematical Society 7 Advances in Mathematical Physics 6 Mathematische Zeitschrift 6 Acta Applicandae Mathematicae 6 Annals of Global Analysis and Geometry 6 New Journal of Physics 6 Physical Review A, Third Series 5 Advances in Mathematics 5 Annales de l’Institut Fourier 5 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 5 Compositio Mathematica 5 Journal of Soviet Mathematics 5 Indagationes Mathematicae. New Series 5 Bulletin des Sciences Mathématiques 5 Mathematical Physics, Analysis and Geometry 5 Russian Physics Journal 4 Physics Reports 4 Proceedings of the Japan Academy. Series A 4 Selecta Mathematica. New Series 4 Annales Henri Poincaré 4 Gravitation & Cosmology 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Geometric Mechanics 3 Computers & Mathematics with Applications 3 General Relativity and Gravitation 3 Journal of Applied Mathematics and Mechanics 3 Glasgow Mathematical Journal 3 Mathematische Annalen 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Linear Algebra and its Applications 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Nuclear Physics. B. Proceedings Supplements 3 The Journal of Fourier Analysis and Applications 3 International Journal of Quantum Information 3 Analysis and Mathematical Physics 2 Computer Physics Communications 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Prikladnaya Matematika i Mekhanika 2 Fortschritte der Physik 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Geometriae Dedicata 2 Journal of Approximation Theory 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Results in Mathematics 2 Studies in Applied Mathematics 2 Transactions of the Moscow Mathematical Society 2 Advances in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Science in China. Series A 2 The Journal of Geometric Analysis 2 Journal of Nonlinear Science ...and 131 more Serials all top 5 Cited in 59 Fields 988 Quantum theory (81-XX) 343 Dynamical systems and ergodic theory (37-XX) 235 Nonassociative rings and algebras (17-XX) 221 Differential geometry (53-XX) 179 Topological groups, Lie groups (22-XX) 177 Partial differential equations (35-XX) 164 Mechanics of particles and systems (70-XX) 96 Relativity and gravitational theory (83-XX) 87 Statistical mechanics, structure of matter (82-XX) 86 Global analysis, analysis on manifolds (58-XX) 81 Ordinary differential equations (34-XX) 80 Algebraic geometry (14-XX) 77 Special functions (33-XX) 69 Functional analysis (46-XX) 52 Operator theory (47-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 42 Several complex variables and analytic spaces (32-XX) 41 Abstract harmonic analysis (43-XX) 35 Information and communication theory, circuits (94-XX) 28 Group theory and generalizations (20-XX) 26 Associative rings and algebras (16-XX) 24 Probability theory and stochastic processes (60-XX) 24 Optics, electromagnetic theory (78-XX) 21 Functions of a complex variable (30-XX) 21 Numerical analysis (65-XX) 20 Number theory (11-XX) 18 Combinatorics (05-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Difference and functional equations (39-XX) 14 Integral transforms, operational calculus (44-XX) 13 Fluid mechanics (76-XX) 11 Statistics (62-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Commutative algebra (13-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Integral equations (45-XX) 7 Geometry (51-XX) 7 Computer science (68-XX) 7 Biology and other natural sciences (92-XX) 5 Manifolds and cell complexes (57-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Algebraic topology (55-XX) 3 Mathematical logic and foundations (03-XX) 3 Category theory; homological algebra (18-XX) 3 Measure and integration (28-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Systems theory; control (93-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 \(K\)-theory (19-XX) 2 Potential theory (31-XX) 2 Convex and discrete geometry (52-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year