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Zhelobenko, Dmitry Petrovich

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Author ID: zhelobenko.d-p Recent zbMATH articles by "Zhelobenko, Dmitry Petrovich"
Published as: Zhelobenko, D. P.; Zelobenko, D. P.; Želobenko, D. P.
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

Publications by Year

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 0228.22013
Zhelobenko, D. P.
107
1970
Compact Lie groups and their representations. Translated from the Russian by Israel Program for Scientific Translations. Zbl 0272.22006
Zelobenko, D. P.
76
1973
Representations of Lie groups. (Predstavleniya grupp Li). Zbl 0521.22006
Zhelobenko, D. P.; Shtern, A. I.
39
1983
The classical groups. Spectral analysis of finite-dimensional representations. Zbl 0142.26703
Zhelobenko, D. P.
32
1962
On quantum methods in the representation theory of reductive Lie algebras. Zbl 0839.17004
Zhelobenko, D. P.
22
1994
Extremal cocycles of Weyl groups. Zbl 0633.17008
Zhelobenko, D. P.
18
1987
S-algebras and Verma modules over reductive Lie algebras. Zbl 0568.17005
Zhelobenko, D. P.
12
1983
Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0671.17004
Zhelobenko, D. P.
11
1988
Principal structures and methods of representation theory. Transl. from the Russian by Alex Martsinkovsky. Zbl 1084.17001
Zhelobenko, D. P.
7
2006
An introduction to the theory of S-algebras over reductive Lie algebras. Zbl 0726.17009
Zhelobenko, D. P.
6
1990
On Gelfand-Zetlin bases for classical Lie algebras. Zbl 0599.17003
Zhelobenko, D. P.
5
1985
Harmonic analysis of functions on semisimple Lie groups. I. Zbl 0204.14403
Zhelobenko, D. P.
5
1963
The analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group. Zbl 0205.04404
Zhelobenko, D. P.
5
1969
Representations of reductive Lie algebras. (Predstavleniya reduktivnykh algebr Li.) Zbl 0842.17007
Zhelobenko, D. P.
4
1993
Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0659.17010
Zhelobenko, D. P.
4
1988
Constructive modules and extremal projectors over Chevalley algebras. Zbl 0806.17022
Zhelobenko, D. P.
4
1993
Z-algebras over reductive Lie algebras. Zbl 0568.17006
Zhelobenko, D. P.
4
1983
S-algebras and Harish-Chandra modules over reductive Lie algebras. Zbl 0593.17006
Zhelobenko, D. P.
4
1985
Discrete symmetry operators for reductive Lie groups. Zbl 0383.22014
Zelobenko, D. P.
4
1978
Cyclic modules for a complex semisimple Lie group. Zbl 0283.22010
Zelobenko, D. P.
4
1974
Transvector algebras in representation theory of reductive Lie algebras. Zbl 0609.17004
Zhelobenko, D. P.
3
1986
A characterization of completely irreducible representations of a semisimple complex Lie group. Zbl 0315.22009
Zhelobenko, D. P.; Najmark, M. A.
3
1966
Transvector algebras in representation theory and dynamic symmetry. Zbl 0684.22011
Zhelobenko, D. P.
3
1986
An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0659.17006
Zhelobenko, D. P.
2
1987
S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0725.17010
Zhelobenko, D. P.
2
1991
Harmonic analysis on reductive Lie groups. Zbl 0475.43008
Zhelobenko, D. P.
2
1979
Harmonische Analysis bei halbeinfachen komplexen Lie Gruppen. (Garmoniceskii analiz na poluprostyh kompleksnyh gruppah Li.). Zbl 0341.22001
Zelobenko, D. P.
2
1974
Elementary representations of a semisimple complex Lie group. Zbl 0311.22016
Zelobenko, D. P.
2
1975
Analogue for the Cartan-Weyl theory for \(\infty\)-dimensional representations of a semisimple complex Lie group. Zbl 0188.20003
Zelobenko, D. P.
2
1967
On the irreducible representations of a complex semisimple Lie group. Zbl 0214.13501
Zhelobenko, D. P.
2
1970
On formal series and infinite products over Lie algebras. Zbl 1015.17005
Zhelobenko, D. P.
1
1999
Weyl algebras over quantum groups. Zbl 0960.16047
Zhelobenko, D. P.
1
1999
An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0644.17002
Zhelobenko, D. P.
1
1987
Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras. Zbl 0980.17013
Zhelobenko, D. P.
1
2000
S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0708.17009
Zhelobenko, D. P.
1
1990
On differential calculus in bialgebras and quantum groups. Zbl 0961.16027
Zhelobenko, D. P.
1
1999
Minimal K-types and classification of irreducible representations of reductive Lie groups. Zbl 0581.22016
Zhelobenko, D. P.
1
1984
Extremal-type equations and their resolvents over reductive Lie algebras. Zbl 0593.17007
Zhelobenko, D. P.
1
1985
Eine Analyse der Irreduzibilität in der Klasse der elementaren Darstellungen einer halbeinfachen komplexen Liegruppe. Zbl 0192.36101
Zelobenko, D. P.
1
1968
The theory of linear representations of complex and real Lie groups. Zbl 0136.29802
Zelobenko, D. P.
1
1963
Solution of a problem on polynomial invariants. Zbl 0156.04603
Zelobenko, D. P.
1
1963
Linear representations of the Lorentz group. Zbl 0173.30001
Zelobenko, D. P.
1
1959
Principal structures and methods of representation theory. Transl. from the Russian by Alex Martsinkovsky. Zbl 1084.17001
Zhelobenko, D. P.
7
2006
Universal Verma modules and \(W\)-resolvents over Kac-Moody algebras. Zbl 0980.17013
Zhelobenko, D. P.
1
2000
On formal series and infinite products over Lie algebras. Zbl 1015.17005
Zhelobenko, D. P.
1
1999
Weyl algebras over quantum groups. Zbl 0960.16047
Zhelobenko, D. P.
1
1999
On differential calculus in bialgebras and quantum groups. Zbl 0961.16027
Zhelobenko, D. P.
1
1999
On quantum methods in the representation theory of reductive Lie algebras. Zbl 0839.17004
Zhelobenko, D. P.
22
1994
Representations of reductive Lie algebras. (Predstavleniya reduktivnykh algebr Li.) Zbl 0842.17007
Zhelobenko, D. P.
4
1993
Constructive modules and extremal projectors over Chevalley algebras. Zbl 0806.17022
Zhelobenko, D. P.
4
1993
S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0725.17010
Zhelobenko, D. P.
2
1991
An introduction to the theory of S-algebras over reductive Lie algebras. Zbl 0726.17009
Zhelobenko, D. P.
6
1990
S-algebras and Harish-Chandra modules over symmetric Lie algebras. Zbl 0708.17009
Zhelobenko, D. P.
1
1990
Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0671.17004
Zhelobenko, D. P.
11
1988
Extremal projectors and generalized Mickelsson algebras over reductive Lie algebras. Zbl 0659.17010
Zhelobenko, D. P.
4
1988
Extremal cocycles of Weyl groups. Zbl 0633.17008
Zhelobenko, D. P.
18
1987
An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0659.17006
Zhelobenko, D. P.
2
1987
An analogue of the Gel’fand-Tsetlin basis for symplectic Lie algebras. Zbl 0644.17002
Zhelobenko, D. P.
1
1987
Transvector algebras in representation theory of reductive Lie algebras. Zbl 0609.17004
Zhelobenko, D. P.
3
1986
Transvector algebras in representation theory and dynamic symmetry. Zbl 0684.22011
Zhelobenko, D. P.
3
1986
On Gelfand-Zetlin bases for classical Lie algebras. Zbl 0599.17003
Zhelobenko, D. P.
5
1985
S-algebras and Harish-Chandra modules over reductive Lie algebras. Zbl 0593.17006
Zhelobenko, D. P.
4
1985
Extremal-type equations and their resolvents over reductive Lie algebras. Zbl 0593.17007
Zhelobenko, D. P.
1
1985
Minimal K-types and classification of irreducible representations of reductive Lie groups. Zbl 0581.22016
Zhelobenko, D. P.
1
1984
Representations of Lie groups. (Predstavleniya grupp Li). Zbl 0521.22006
Zhelobenko, D. P.; Shtern, A. I.
39
1983
S-algebras and Verma modules over reductive Lie algebras. Zbl 0568.17005
Zhelobenko, D. P.
12
1983
Z-algebras over reductive Lie algebras. Zbl 0568.17006
Zhelobenko, D. P.
4
1983
Harmonic analysis on reductive Lie groups. Zbl 0475.43008
Zhelobenko, D. P.
2
1979
Discrete symmetry operators for reductive Lie groups. Zbl 0383.22014
Zelobenko, D. P.
4
1978
Elementary representations of a semisimple complex Lie group. Zbl 0311.22016
Zelobenko, D. P.
2
1975
Cyclic modules for a complex semisimple Lie group. Zbl 0283.22010
Zelobenko, D. P.
4
1974
Harmonische Analysis bei halbeinfachen komplexen Lie Gruppen. (Garmoniceskii analiz na poluprostyh kompleksnyh gruppah Li.). Zbl 0341.22001
Zelobenko, D. P.
2
1974
Compact Lie groups and their representations. Translated from the Russian by Israel Program for Scientific Translations. Zbl 0272.22006
Zelobenko, D. P.
76
1973
Compact Lie groups and their representations. (Kompaktnye gruppy Li i ikh predstavleniya.). Zbl 0228.22013
Zhelobenko, D. P.
107
1970
On the irreducible representations of a complex semisimple Lie group. Zbl 0214.13501
Zhelobenko, D. P.
2
1970
The analysis of irreducibility in the class of elementary representations of a complex semisimple Lie group. Zbl 0205.04404
Zhelobenko, D. P.
5
1969
Eine Analyse der Irreduzibilität in der Klasse der elementaren Darstellungen einer halbeinfachen komplexen Liegruppe. Zbl 0192.36101
Zelobenko, D. P.
1
1968
Analogue for the Cartan-Weyl theory for \(\infty\)-dimensional representations of a semisimple complex Lie group. Zbl 0188.20003
Zelobenko, D. P.
2
1967
A characterization of completely irreducible representations of a semisimple complex Lie group. Zbl 0315.22009
Zhelobenko, D. P.; Najmark, M. A.
3
1966
Harmonic analysis of functions on semisimple Lie groups. I. Zbl 0204.14403
Zhelobenko, D. P.
5
1963
The theory of linear representations of complex and real Lie groups. Zbl 0136.29802
Zelobenko, D. P.
1
1963
Solution of a problem on polynomial invariants. Zbl 0156.04603
Zelobenko, D. P.
1
1963
The classical groups. Spectral analysis of finite-dimensional representations. Zbl 0142.26703
Zhelobenko, D. P.
32
1962
Linear representations of the Lorentz group. Zbl 0173.30001
Zelobenko, D. P.
1
1959
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