Edit Profile (opens in new tab) Zhelobenko, Dmitry Petrovich Compute Distance To: Compute Author ID: zhelobenko.d-p Published as: Zhelobenko, D. P.; Zelobenko, D. P.; Želobenko, D. P. more...less External Links: MGP · Math-Net.Ru Documents Indexed: 85 Publications since 1959, including 7 Books 2 Contributions as Editor Biographic References: 1 Publication Co-Authors: 12 Co-Authors with 6 Joint Publications 702 Co-Co-Authors all top 5 Co-Authors 80 single-authored 2 Naĭmark, Mark Aronovich 2 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Gel’fand, Israil’ Moiseevich 1 Graev, Mark Iosifovich 1 Helemskii, Alexander Ya. 1 Ismagilov, Rais Sal’manovich 1 Kreĭn, Mark Grigor’evich 1 Kudryavtsev, Lev Dmitrievich 1 Shtern, Aleksandr Isaakovich 1 Shtraus, Abram Vilgelmovich 1 Telyakovskiĭ, Sergeĭ Aleksandrovich 1 Vershik, Anatoliĭ Moiseevich 1 Weyl, Hermann all top 5 Serials 10 Mathematics of the USSR. Izvestiya 9 Soviet Mathematics. Doklady 8 Functional Analysis and its Applications 8 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 5 Vestnik Rossiĭskogo Universiteta Druzhby Narodov. Seriya Matematika 4 Russian Mathematical Surveys 3 Uspekhi Matematicheskikh Nauk [N. S.] 2 Doklady Akademii Nauk SSSR 2 Theoretical and Mathematical Physics 2 Journal of Soviet Mathematics 2 Acta Applicandae Mathematicae 2 Izvestiya: Mathematics 2 Doklady Mathematics 2 Translations of Mathematical Monographs 1 Transactions of the Moscow Mathematical Society 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Lobachevskii Journal of Mathematics 1 Advanced Studies in Contemporary Mathematics (New York) 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Translations. Series 2. American Mathematical Society 1 Nova Journal of Theoretical Physics all top 5 Fields 43 Nonassociative rings and algebras (17-XX) 38 Topological groups, Lie groups (22-XX) 14 Abstract harmonic analysis (43-XX) 11 Associative rings and algebras (16-XX) 6 Group theory and generalizations (20-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 42 Publications have been cited 408 times in 351 Documents Cited by ▼ Year ▼ Compact Lie groups and their representations. (Kompaktnye gruppy Li i ikh predstavleniya.). Zbl 0228.22013Zhelobenko, D. P. 107 1970 Compact Lie groups and their representations. Translated from the Russian by Israel Program for Scientific Translations. Zbl 0272.22006Zelobenko, D. P. 76 1973 Representations of Lie groups. (Predstavleniya grupp Li). Zbl 0521.22006Zhelobenko, D. P.; Shtern, A. I. 39 1983 The classical groups. Spectral analysis of finite-dimensional representations. Zbl 0142.26703Zhelobenko, D. P. 32 1962 On quantum methods in the representation theory of reductive Lie algebras. Zbl 0839.17004Zhelobenko, D. P. 22 1994 Extremal cocycles of Weyl groups. Zbl 0633.17008Zhelobenko, D. P. 18 1987 S-algebras and Verma modules over reductive Lie algebras. Zbl 0568.17005Zhelobenko, D. P. 12 1983 Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0671.17004Zhelobenko, D. P. 11 1988 Principal structures and methods of representation theory. Transl. from the Russian by Alex Martsinkovsky. Zbl 1084.17001Zhelobenko, D. P. 7 2006 An introduction to the theory of S-algebras over reductive Lie algebras. Zbl 0726.17009Zhelobenko, D. P. 6 1990 On Gelfand-Zetlin bases for classical Lie algebras. Zbl 0599.17003Zhelobenko, D. P. 5 1985 Harmonic analysis of functions on semisimple Lie groups. I. Zbl 0204.14403Zhelobenko, D. P. 5 1963 The analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group. Zbl 0205.04404Zhelobenko, D. P. 5 1969 Representations of reductive Lie algebras. (Predstavleniya reduktivnykh algebr Li.) Zbl 0842.17007Zhelobenko, D. P. 4 1993 Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0659.17010Zhelobenko, D. P. 4 1988 Constructive modules and extremal projectors over Chevalley algebras. Zbl 0806.17022Zhelobenko, D. P. 4 1993 Z-algebras over reductive Lie algebras. Zbl 0568.17006Zhelobenko, D. P. 4 1983 S-algebras and Harish-Chandra modules over reductive Lie algebras. Zbl 0593.17006Zhelobenko, D. P. 4 1985 Discrete symmetry operators for reductive Lie groups. Zbl 0383.22014Zelobenko, D. P. 4 1978 Cyclic modules for a complex semisimple Lie group. Zbl 0283.22010Zelobenko, D. P. 4 1974 Transvector algebras in representation theory of reductive Lie algebras. Zbl 0609.17004Zhelobenko, D. P. 3 1986 A characterization of completely irreducible representations of a semisimple complex Lie group. Zbl 0315.22009Zhelobenko, D. P.; Najmark, M. A. 3 1966 Transvector algebras in representation theory and dynamic symmetry. Zbl 0684.22011Zhelobenko, D. P. 3 1986 An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0659.17006Zhelobenko, D. P. 2 1987 S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0725.17010Zhelobenko, D. P. 2 1991 Harmonic analysis on reductive Lie groups. Zbl 0475.43008Zhelobenko, D. P. 2 1979 Harmonische Analysis bei halbeinfachen komplexen Lie Gruppen. (Garmoniceskii analiz na poluprostyh kompleksnyh gruppah Li.). Zbl 0341.22001Zelobenko, D. P. 2 1974 Elementary representations of a semisimple complex Lie group. Zbl 0311.22016Zelobenko, D. P. 2 1975 Analogue for the Cartan-Weyl theory for \(\infty\)-dimensional representations of a semisimple complex Lie group. Zbl 0188.20003Zelobenko, D. P. 2 1967 On the irreducible representations of a complex semisimple Lie group. Zbl 0214.13501Zhelobenko, D. P. 2 1970 On formal series and infinite products over Lie algebras. Zbl 1015.17005Zhelobenko, D. P. 1 1999 Weyl algebras over quantum groups. Zbl 0960.16047Zhelobenko, D. P. 1 1999 An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0644.17002Zhelobenko, D. P. 1 1987 Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras. Zbl 0980.17013Zhelobenko, D. P. 1 2000 S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0708.17009Zhelobenko, D. P. 1 1990 On differential calculus in bialgebras and quantum groups. Zbl 0961.16027Zhelobenko, D. P. 1 1999 Minimal K-types and classification of irreducible representations of reductive Lie groups. Zbl 0581.22016Zhelobenko, D. P. 1 1984 Extremal-type equations and their resolvents over reductive Lie algebras. Zbl 0593.17007Zhelobenko, D. P. 1 1985 Eine Analyse der Irreduzibilität in der Klasse der elementaren Darstellungen einer halbeinfachen komplexen Liegruppe. Zbl 0192.36101Zelobenko, D. P. 1 1968 The theory of linear representations of complex and real Lie groups. Zbl 0136.29802Zelobenko, D. P. 1 1963 Solution of a problem on polynomial invariants. Zbl 0156.04603Zelobenko, D. P. 1 1963 Linear representations of the Lorentz group. Zbl 0173.30001Zelobenko, D. P. 1 1959 Principal structures and methods of representation theory. Transl. from the Russian by Alex Martsinkovsky. Zbl 1084.17001Zhelobenko, D. P. 7 2006 Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras. Zbl 0980.17013Zhelobenko, D. P. 1 2000 On formal series and infinite products over Lie algebras. Zbl 1015.17005Zhelobenko, D. P. 1 1999 Weyl algebras over quantum groups. Zbl 0960.16047Zhelobenko, D. P. 1 1999 On differential calculus in bialgebras and quantum groups. Zbl 0961.16027Zhelobenko, D. P. 1 1999 On quantum methods in the representation theory of reductive Lie algebras. Zbl 0839.17004Zhelobenko, D. P. 22 1994 Representations of reductive Lie algebras. (Predstavleniya reduktivnykh algebr Li.) Zbl 0842.17007Zhelobenko, D. P. 4 1993 Constructive modules and extremal projectors over Chevalley algebras. Zbl 0806.17022Zhelobenko, D. P. 4 1993 S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0725.17010Zhelobenko, D. P. 2 1991 An introduction to the theory of S-algebras over reductive Lie algebras. Zbl 0726.17009Zhelobenko, D. P. 6 1990 S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0708.17009Zhelobenko, D. P. 1 1990 Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0671.17004Zhelobenko, D. P. 11 1988 Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0659.17010Zhelobenko, D. P. 4 1988 Extremal cocycles of Weyl groups. Zbl 0633.17008Zhelobenko, D. P. 18 1987 An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0659.17006Zhelobenko, D. P. 2 1987 An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0644.17002Zhelobenko, D. P. 1 1987 Transvector algebras in representation theory of reductive Lie algebras. Zbl 0609.17004Zhelobenko, D. P. 3 1986 Transvector algebras in representation theory and dynamic symmetry. Zbl 0684.22011Zhelobenko, D. P. 3 1986 On Gelfand-Zetlin bases for classical Lie algebras. Zbl 0599.17003Zhelobenko, D. P. 5 1985 S-algebras and Harish-Chandra modules over reductive Lie algebras. Zbl 0593.17006Zhelobenko, D. P. 4 1985 Extremal-type equations and their resolvents over reductive Lie algebras. Zbl 0593.17007Zhelobenko, D. P. 1 1985 Minimal K-types and classification of irreducible representations of reductive Lie groups. Zbl 0581.22016Zhelobenko, D. P. 1 1984 Representations of Lie groups. (Predstavleniya grupp Li). Zbl 0521.22006Zhelobenko, D. P.; Shtern, A. I. 39 1983 S-algebras and Verma modules over reductive Lie algebras. Zbl 0568.17005Zhelobenko, D. P. 12 1983 Z-algebras over reductive Lie algebras. Zbl 0568.17006Zhelobenko, D. P. 4 1983 Harmonic analysis on reductive Lie groups. Zbl 0475.43008Zhelobenko, D. P. 2 1979 Discrete symmetry operators for reductive Lie groups. Zbl 0383.22014Zelobenko, D. P. 4 1978 Elementary representations of a semisimple complex Lie group. Zbl 0311.22016Zelobenko, D. P. 2 1975 Cyclic modules for a complex semisimple Lie group. Zbl 0283.22010Zelobenko, D. P. 4 1974 Harmonische Analysis bei halbeinfachen komplexen Lie Gruppen. (Garmoniceskii analiz na poluprostyh kompleksnyh gruppah Li.). Zbl 0341.22001Zelobenko, D. P. 2 1974 Compact Lie groups and their representations. Translated from the Russian by Israel Program for Scientific Translations. Zbl 0272.22006Zelobenko, D. P. 76 1973 Compact Lie groups and their representations. (Kompaktnye gruppy Li i ikh predstavleniya.). Zbl 0228.22013Zhelobenko, D. P. 107 1970 On the irreducible representations of a complex semisimple Lie group. Zbl 0214.13501Zhelobenko, D. P. 2 1970 The analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group. Zbl 0205.04404Zhelobenko, D. P. 5 1969 Eine Analyse der Irreduzibilität in der Klasse der elementaren Darstellungen einer halbeinfachen komplexen Liegruppe. Zbl 0192.36101Zelobenko, D. P. 1 1968 Analogue for the Cartan-Weyl theory for \(\infty\)-dimensional representations of a semisimple complex Lie group. Zbl 0188.20003Zelobenko, D. P. 2 1967 A characterization of completely irreducible representations of a semisimple complex Lie group. Zbl 0315.22009Zhelobenko, D. P.; Najmark, M. A. 3 1966 Harmonic analysis of functions on semisimple Lie groups. I. Zbl 0204.14403Zhelobenko, D. P. 5 1963 The theory of linear representations of complex and real Lie groups. Zbl 0136.29802Zelobenko, D. P. 1 1963 Solution of a problem on polynomial invariants. Zbl 0156.04603Zelobenko, D. P. 1 1963 The classical groups. Spectral analysis of finite-dimensional representations. Zbl 0142.26703Zhelobenko, D. P. 32 1962 Linear representations of the Lorentz group. Zbl 0173.30001Zelobenko, D. P. 1 1959 all cited Publications top 5 cited Publications all top 5 Cited by 391 Authors 10 Zhelobenko, Dmitry Petrovich 7 Futorny, Vyacheslav M. 7 Mudrov, Andrey I. 7 Ogievetsky, Oleg V. 7 Ol’shanskiĭ, Grigoriĭ Iosifovich 6 Borodin, Alexei 6 Eelbode, David 6 Khoroshkin, Sergey M. 6 Zhang, Genkai 5 Dobrev, Vladimir K. 4 Havlíček, Miloslav 4 Klink, William H. 4 Molev, Alexander I. 4 Nazarov, Maxim Leonidovich 4 Petkova, Valentina B. 4 Proctor, Robert A. 3 Artamonov, Dmitry V. 3 Conley, Charles H. 3 Feĭgin, Boris L’vovich 3 Gorin, Vadim 3 Khvedelidze, Arsen Morisovich 3 Kirillov, Anatol N. 3 Klimyk, Anatoliy Ul’yanovich 3 Mironov, Andrei D. 3 Ørsted, Bent 3 Ovsienko, Sergei A. 3 Pesenson, Isaac Zalmanovich 3 Ramirez, Luis Enrique 3 Roels, Matthias 3 Sato, Ryosuke 3 Saveliev, Mikhail V. 3 Sepanski, Mark R. 3 Sevostyanov, Alexey 3 Taylor, Michael Eugene 3 Ton-That, Tuong 3 Varchenko, Alexander Nikolaevich 3 Vershik, Anatoliĭ Moiseevich 3 Zelevinskiĭ, Andreĭ V. 3 Zhu, Chen-Bo 2 Adams, Jeffrey David 2 Akbarov, Sergei S. 2 Albeverio, Sergio A. 2 Alekseevskiĭ, Dmitriĭ Vladimirovich 2 Alesker, Semyon 2 Ashton, Thomas 2 Barnich, Glenn 2 Bouwknegt, Peter G. 2 Bufetov, Alekseĭ Igor’evich 2 Ganchev, Alexander Ch. 2 Gerdt, Vladimir Petrovich 2 Golubeva, Valentina Alekseevna 2 Gołubowska, Barbara 2 Gould, Mark D. 2 Grantcharov, Dimitar 2 Henrich, Christopher J. 2 Herlemont, Basile 2 Howe, Roger Evans 2 Ignatenko, V. F. 2 Joseph, Anthony 2 Kac, Victor G. 2 Kazakov, Vladimir A. 2 Kerov, Sergei V. 2 Keyl, Michael 2 Kirillov, Alexandre Aleksandrovich 2 Kissin, Edward V. 2 Klimčík, Ctirad 2 Koike, Kazuhiko 2 Kosyak, Alexandre V. 2 Kovalchuk, Vasyl 2 Kuan, Jeffrey 2 Lee, Soo Teck 2 Lohé, M. A. 2 Mack, Gerhard 2 Manon, Christopher 2 Martens, Agnieszka 2 McCarthy, Jim 2 Neretin, Yuriĭ Aleksandrovich 2 Patera, Jiří 2 Pilch, Krzysztof 2 Raeymaekers, Tim 2 Sahi, Siddhartha 2 Salamon, Simon Montague 2 Saurabh, Bipul 2 Schrader, Robert 2 Shabanov, Sergei V. 2 Shibukawa, Youichi 2 Shul’man, Viktor Semënovich 2 Sławianowska, Anna K. 2 Sławianowski, Jan Jerzy 2 Szczyrba, Igor 2 Takebayashi, Tadayoshi 2 Tipunin, Ilya Yu. 2 Tolstoĭ, Valeriĭ Nikolaevich 2 Ueno, Kimio 2 Vaksman, Leonid L’vovich 2 Walton, Mark A. 2 Yur’ev, Denis Valer’evich 1 Abe, Noriyuki 1 Agranovsky, Mark L. 1 Alekseev, Anton Yu. ...and 291 more Authors all top 5 Cited in 101 Serials 21 Journal of Mathematical Physics 19 Advances in Mathematics 19 Functional Analysis and its Applications 18 Journal of Functional Analysis 17 Theoretical and Mathematical Physics 17 Journal of Algebra 15 Journal of Soviet Mathematics 13 Reports on Mathematical Physics 11 Communications in Mathematical Physics 11 Journal of Geometry and Physics 11 Journal of Mathematical Sciences (New York) 9 Nuclear Physics. B 8 Duke Mathematical Journal 8 Transactions of the American Mathematical Society 7 Letters in Mathematical Physics 6 Ukrainian Mathematical Journal 5 Mathematical Notes 5 Siberian Mathematical Journal 5 Transformation Groups 4 Israel Journal of Mathematics 4 Compositio Mathematica 4 Inventiones Mathematicae 4 Journal of Pure and Applied Algebra 4 Annals of Global Analysis and Geometry 3 Reviews in Mathematical Physics 3 Annales de l’Institut Fourier 3 Selecta Mathematica. New Series 3 Russian Physics Journal 2 Moscow University Mathematics Bulletin 2 Physics Letters. B 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 The Annals of Probability 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Combinatorial Theory. Series A 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Annals of Physics 2 Linear Algebra and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Journal of Algebraic Combinatorics 2 St. Petersburg Mathematical Journal 2 Advances in Applied Clifford Algebras 2 The Journal of Fourier Analysis and Applications 2 Algebras and Representation Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Communications in Algebra 1 Communications on Pure and Applied Mathematics 1 General Relativity and Gravitation 1 Journal of Computational Physics 1 Physics Letters. A 1 Physics Reports 1 Arkiv för Matematik 1 Acta Mathematica 1 Algebra and Logic 1 Archiv der Mathematik 1 Boletim da Sociedade Brasileira de Matemática 1 Publications Mathématiques 1 Integral Equations and Operator Theory 1 Journal of Approximation Theory 1 Journal of Statistical Planning and Inference 1 Manuscripta Mathematica 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology and its Applications 1 European Journal of Combinatorics 1 Advances in Applied Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Journal of Scientific Computing 1 The Annals of Applied Probability 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Communications in Partial Differential Equations 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Experimental Mathematics 1 Nuclear Physics. B. Proceedings Supplements 1 Bulletin des Sciences Mathématiques 1 Doklady Mathematics 1 Representation Theory 1 The Ramanujan Journal 1 Abstract and Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Journal of Nonlinear Mathematical Physics 1 Bulletin of the American Mathematical Society 1 Frontiers of Mathematics in China 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 GEM - International Journal on Geomathematics 1 Asian Journal of Control 1 Bulletin of Mathematical Sciences 1 Arnold Mathematical Journal ...and 1 more Serials all top 5 Cited in 47 Fields 138 Topological groups, Lie groups (22-XX) 120 Nonassociative rings and algebras (17-XX) 79 Quantum theory (81-XX) 41 Group theory and generalizations (20-XX) 27 Associative rings and algebras (16-XX) 27 Abstract harmonic analysis (43-XX) 27 Differential geometry (53-XX) 25 Combinatorics (05-XX) 21 Functional analysis (46-XX) 19 Algebraic geometry (14-XX) 18 Probability theory and stochastic processes (60-XX) 17 Special functions (33-XX) 16 Global analysis, analysis on manifolds (58-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Operator theory (47-XX) 12 Several complex variables and analytic spaces (32-XX) 11 Number theory (11-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Partial differential equations (35-XX) 7 Manifolds and cell complexes (57-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Category theory; homological algebra (18-XX) 5 Functions of a complex variable (30-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 3 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Numerical analysis (65-XX) 3 Mechanics of particles and systems (70-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) Citations by Year