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Kirillov, Alexandre Aleksandrovich

Author ID: kirillov.alexandre-aleksandrovich Recent zbMATH articles by "Kirillov, Alexandre Aleksandrovich"
Published as: Kirillov, A. A.; Kirillov, Alexandre; Kirillov, Aleksandr; Kirillov, Alexandre Aleksandrovich; Kirillov, Alexandre A.; Kirillov, Alexandr A.; Kririllov, A. A.; Kilillov, A. A.; Kirillov, A.
Homepage: http://www.math.upenn.edu/~kirillov/
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

78 single-authored
13 Gel’fand, Israil’ Moiseevich
8 Gindikin, Simon Grigorevich
5 Gvishiani, Alekseĭ Dzhermenovich
5 Konstantinov, Nikolaĭ Nikolaevich
5 Molev, Alexander I.
5 Neretin, Yuriĭ Aleksandrovich
4 Bogolyubov, Nikolaĭ Nikolaevich
4 Fuchs, Dmitry Borisovich
4 Gamkrelidze, Revaz Valerianovich
4 Gel’fand, Sergeĭ Izrail’evich
4 Gerver, M. L.
4 Kontsevich, Maxim
4 Kushnirenko, A. G.
4 Sinaĭ, Yakov Grigor’evich
3 Faddeev, Lyudvig Dmitrievich
3 Guillemin, Victor W.
3 Kostant, Bertram
3 Leites, Dimitry A.
3 Molchanov, Vladimir Fedorovich
3 Novikov, Sergeĭ Petrovich
3 Ovsienko, Valentin Yu.
3 Sternberg, Shlomo
3 Vershik, Anatoliĭ Moiseevich
3 Yur’ev, Denis Valer’evich
2 Balsam, Benjamin
2 Berezin, Feliks Aleksandrovich
2 Dobrushin, Roland L’vovich
2 Fialowski, Alice
2 Glagoleva, E. G.
2 Graev, Mark Iosifovich
2 Ilyashenko, Yulij Sergeevich
2 Kolmogorov, Andreĭ Nikolaevich
2 Kreĭn, Mark Grigor’evich
2 Minlos, Robert Adol’fovich
2 Okun’kov, Andreĭ Yur’evich
2 Ol’shanskiĭ, Grigoriĭ Iosifovich
2 Segal, Graeme B.
2 Shubin, Mikhail Aleksandrovich
2 Starkov, Victor V.
2 Thind, Jaimal
2 Tikhomirov, Vladimir Mikhaĭlovich
1 Anantharaman-Delaroche, Claire
1 Anderson, Donald W.
1 Arlazarov, Vladimir L’vovich
1 Arnol’d, Vladimir Igorevich
1 Atiyah, Michael Francis
1 Borodin, Alexei
1 Bott, Raoul Harry
1 Bourbaki, Nicolas
1 Bufetov, Aleksandr Igorevich
1 Bufetov, Alekseĭ Igor’evich
1 Bukhshtaber, Viktor Matveevich
1 Cherkassky, Boris V.
1 Chernavskiĭ, Alekseĭ Viktorovich
1 Cohn, Leslie
1 Crew, Logan
1 Dergachev, Vladimir
1 Dinitz, E. A.
1 Faradzhev, Igor Aleksandrovich
1 Fomin, Sergey Vladimirovich
1 Fuchs, Ekaterina
1 Fuchs, Elena D.
1 Gani, Vakhid A.
1 Glagolevova, J. G.
1 Gordin, Mikhail Iosifovich
1 Gorin, V. E.
1 Gussein-Zade, S.
1 Ibragimov, Il’dar Abdullovich
1 Ismagilov, Rais Sal’manovich
1 Kaimanovich, Vadim A.
1 Karpelevich, Friedrich I.
1 Karpenko, S. M.
1 Karpenkov, Oleg Nikolaevich
1 Karzanov, Aleksandr V.
1 Khesin, Boris A.
1 Khokhlov, Andreĭ Vladimirovich
1 Khoroshkin, Sergey M.
1 Khovanskiĭ, Askold Georgievich
1 Kotecký, Roman
1 Kronrod, M. A.
1 Kuiper, Nicolaas Hendrik
1 Kuznetsov, Oleg P.
1 Lando, Sergei K.
1 Litvinov, Grigory Lazarevich
1 Lodkin, A. A.
1 Malikov, Fyodor
1 McFaden, Harold
1 Morier-Genoud, Sophie
1 Nazarov, Maxim Leonidovich
1 Nessonov, Nikolai I.
1 Niederle, Jiri
1 Okun, Lev B.
1 Pak, Igor
1 Palamodov, Victor Pavlovitch
1 Petrov, Fedor Vladimirovich
1 Petrov, Leonid
1 Pevzner, Michael
1 Pevzner, Pavel A.
1 Prince, Tanvir
1 Retakh, Vladimir Solomonovich
...and 21 more Co-Authors
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Serials

16 Functional Analysis and its Applications
11 Russian Mathematical Surveys
9 Soviet Mathematics. Doklady
7 Uspekhi Matematicheskikh Nauk [N. S.]
4 Moscow University Mathematics Bulletin
4 Selecta Mathematica Sovietica
3 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika
3 Itogi Nauki i Tekhniki. Seriya Sovremennye Problemy Matematiki. Fundamental’nye Napravleniya
2 Doklady Akademii Nauk SSSR
2 Journal of Geometry and Physics
2 Moscow Mathematical Journal
2 Fixed Point Theory
2 Encyclopaedia of Mathematical Sciences
2 Translations. Series 2. American Mathematical Society
1 Doklady Akademii Nauk UzSSR
1 Publications Mathématiques
1 Journal of Soviet Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Lie Theory
1 Electronic Research Announcements of the American Mathematical Society
1 European Mathematical Society Newsletter
1 Algebras and Representation Theory
1 Journal of Cosmology and Astroparticle Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Nauchnye Doklady Vyssheĭ Shkoly. Fiziko-Matematicheskie Nauki
1 Advances in Soviet Mathematics
1 Graduate Studies in Mathematics
1 Grundlehren der Mathematischen Wissenschaften
1 Mathematical Physics and Applied Mathematics
1 Journal of Fixed Point Theory and Applications
1 Arnold Mathematical Journal
1 Problem Books in Mathematics
1 Springer Collected Works in Mathematics

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,778 times in 1,524 Documents Cited by Year
Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001
Kirillov, A. A.
289
1976
Lectures on the orbit method. Zbl 1229.22003
Kirillov, A. A.
213
2004
Unitary representations of nilpotent Lie groups. Zbl 0106.25001
Kirillov, A. A.
202
1962
Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104
Gelfand, I. M.; Kirillov, A. A.
114
1966
Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001
Berezin, Feliks Aleksandrovich
99
1987
Local Lie algebras. Zbl 0357.58003
Kirillov, A. A.
92
1976
On unitary representations of nilpotent Lie groups. Zbl 0090.09802
Kirillov, A. A.
86
1960
Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020
Berezin, F. A.
85
1983
Merits and demerits of the orbit method. Zbl 0940.22013
Kirillov, A. A.
61
1999
Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. (Лекции о группах Шевалле.) Zbl 0307.22001
Steinberg, Robert
48
1975
Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012
Kirillov, A. A.
45
1972
Index of Lie algebras of seaweed type. Zbl 0980.17001
Dergachev, Vladimir; Kirillov, Alexandre
43
2000
The characters of unitary representations of Lie groups. Zbl 0174.45001
Kirillov, A. A.
33
1968
Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017
Kirillov, A. A.
31
1982
\(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401
Atiyah, Michael F.
31
1967
Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010
Kirillov, A. A.
28
1987
Variations on the triangular theme. Zbl 0840.22015
Kirillov, A. A.
28
1995
Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007
Kirillov, A. A.; Yur’ev, D. V.
27
1987
Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002
Kirillov, A. A.; Gvishiani, A. D.
27
1982
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003
Kirillov, A. A.
27
1981
Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078
Kirillov, A. A.
25
1998
Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015
Kirillov, A. A.; Yur’ev, D. V.
24
1988
Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002
Kirillov, A. A.; Gvishiani, A. D.
23
1979
The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007
Gel’fand, I. M.; Kirillov, A. A.
21
1969
Geometric quantization. Zbl 0780.58024
Kirillov, A. A.
20
1985
Dynamical systems, factors and representations of groups. Zbl 0169.46602
Kirillov, A. A.
17
1967
The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014
Kirillov, A. A.; Neretin, Yu. A.
15
1987
Introduction to family algebras. Zbl 0981.15013
Kirillov, A. A.
13
2001
Sur les relations entre l’espace dual d’un groups et la structure de ses sous-groupes fermés. Zbl 0214.04602
Delaroche, C.; Kirillov, A.
13
1969
Representations of an infinite dimensional unitary group. Zbl 0288.22020
Kirillov, A. A.
13
1973
Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901
Kirillov, A. A.
13
1969
Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). 2nd ed., rev. and compl. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie.) Zbl 0641.46003
Kirillov, A. A.; Gvishiani, A. D.
12
1988
Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804
Kirillov, A. A.
11
1968
Lokale Liealgebren. Zbl 0352.58014
Kirillov, A. A.
10
1976
The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016
Kirillov, Aleksandr
10
1993
Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011
Kirillov, A. A.
9
1972
Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002
Kirillov, A. A.; Pak, I. M.
9
1990
Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012
Kirillov, A. A.
9
1981
Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505
Kirillov, A. A.
8
1965
Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903
Gel’fand, I. M.; Kirillov, A. A.
8
1966
The method of orbits in representation theory. Zbl 0355.22010
Kirillov, A. A.
8
1975
Algebras of intermediate growth. Zbl 0705.17013
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
8
1990
Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007
Kirillov, A. A.
7
1984
Invariant operators on geometric quantities. Zbl 0472.53026
Kirillov, A. A.
7
1982
Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302
Kirillov, A. A.
7
1967
Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004
Kirillov, A. A.
7
1988
A tale of two fractals. Zbl 1273.00004
Kirillov, A. A.
7
2013
Family algebras. Zbl 0946.16019
Kirillov, A. A.
6
2000
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
6
1994
Representations of some infinite-dimensional Lie groups. Zbl 0285.22011
Kirillov, A. A.
6
1974
Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005
Kirillov, A. A.
5
1988
A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031
Kirillov, A. A.
5
1988
The representations of the groups of rotations of an \(n\)-dimensional Euclidean space by spherical vector fields. Zbl 0080.02205
Kirillov, A. A.
5
1957
Kählerian geometry of the infinite-dimensional homogeneous manifold \(M= \operatorname{Diff}_ +(S^1)/\operatorname{Rot}(S^1)\). Zbl 0644.53060
Kirillov, A. A.; Yur’ev, D. V.
4
1986
Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) Zbl 0691.58005
Warner, Frank W.
4
1987
Two more variations on the triangular theme. Zbl 1062.22021
Kirillov, A. A.
4
2003
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
4
1995
The orbit method. I: Geometric quantization. Zbl 0935.22015
Kirillov, Aleksandr
4
1993
Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009
Kirillov, A. A.
3
1981
The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0518.17006
Kirillov, A. A.; Kontsevich, M. L.
3
1983
Infinite-dimensional representations of the total matrix group. Zbl 0119.26804
Kirillov, A. A.
3
1962
Classical transitions with the topological number changing in the early universe. Zbl 07458878
Gani, Vakhid A.; Kirillov, Alexander A.; Rubin, Sergey G.
3
2018
Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002
Kirillov, Alexander; Starkov, Victor
3
2013
Algebras of intermediate growth. Zbl 0684.17008
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
2
1983
The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007
Kirillov, A. A.; Kontsevich, M. L.
2
1983
Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006
2
1995
On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. Zbl 0873.17013
Kirillov, A. A.
2
1995
The orbit method and finite groups. Zbl 1147.22300
Kirillov, A. A.
2
2005
Unitary representations of nilpotent Lie groups. Zbl 0104.02902
Kirillov, A. A.
2
1961
Certain division algebras over a field of rational functions. Zbl 0189.03601
Kirillov, A. A.
2
1967
Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010
Kirillov, A. A.
2
2008
Natural differential operations on tensor fields. Zbl 0417.53009
Kirillov, A. A.
2
1979
Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012
Kirillov, A. A.
2
1980
Invariant operators over geometric objects. Zbl 0453.53008
Kirillov, A. A.
2
1980
On \(\infty\)-dimensional unitary representations of the group of second- order matrices with elements from a locally compact field. Zbl 0199.46302
Kirillov, A. A.
2
1963
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
1968
Collected papers. Volume II. Ed. by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg. Zbl 0655.22012
Gelfand, Izrail M.
1
1988
Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002
Kirillov, A. A.; Gvishiani, A. D.
1
1983
On tangent cones of Schubert varieties. Zbl 1427.14103
Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin
1
2017
The orbit method beyond Lie groups. Infinite-dimensional groups. Zbl 1147.22301
Kirillov, A. A.
1
2005
The orbit method beyond Lie groups. Quantum groups. Zbl 1147.17307
Kirillov, A. A.
1
2005
Induced representations of nilpotent Lie groups. Zbl 0087.02403
Kirillov, A. A.
1
1959
On the structure of the field of quotients of the enveloping algebra of a semisimple Lie algebra. Zbl 0244.17006
Gel’fand, I. M.; Kirillov, A. A.
1
1968
Konstruktionen von unitären irreduziblen Darstellungen Liescher Gruppen. Zbl 0249.22011
Kirillov, A. A.
1
1970
The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031
Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B.
1
1974
Structures of Lie algebra that have the locality property. Zbl 0325.58008
Kirillov, A. A.
1
1975
Representations of Lie groups and Lie algebras. (Proceedings of the Summer School on Representation Theory, organized by the Bolyai János Mathematical Society at Budapest 1971. Part 2). Zbl 0581.00006
1
1985
La géométrie des moments pour les groupes de difféomorphismes. (The geometry of moments for the diffeomorphism groups). Zbl 0744.22022
Kirillov, A. A.
1
1990
Identities in the Lie algebra of vector fields on the real line. Zbl 0748.17017
Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D.
1
1991
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1
1989
Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018
Gelfand, Izrail M.
1
1989
Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008
Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A.
1
1981
Classification of irreducible unitary representations of a group of second-order matrices with elements from a locally compact field. Zbl 0199.46303
Kirillov, A. A.
1
1966
Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033
Kirillov, Alexander; Starkov, Victor
1
2015
Classical transitions with the topological number changing in the early universe. Zbl 07458878
Gani, Vakhid A.; Kirillov, Alexander A.; Rubin, Sergey G.
3
2018
On tangent cones of Schubert varieties. Zbl 1427.14103
Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin
1
2017
Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033
Kirillov, Alexander; Starkov, Victor
1
2015
A tale of two fractals. Zbl 1273.00004
Kirillov, A. A.
7
2013
Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002
Kirillov, Alexander; Starkov, Victor
3
2013
Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010
Kirillov, A. A.
2
2008
The orbit method and finite groups. Zbl 1147.22300
Kirillov, A. A.
2
2005
The orbit method beyond Lie groups. Infinite-dimensional groups. Zbl 1147.22301
Kirillov, A. A.
1
2005
The orbit method beyond Lie groups. Quantum groups. Zbl 1147.17307
Kirillov, A. A.
1
2005
Lectures on the orbit method. Zbl 1229.22003
Kirillov, A. A.
213
2004
Two more variations on the triangular theme. Zbl 1062.22021
Kirillov, A. A.
4
2003
Introduction to family algebras. Zbl 0981.15013
Kirillov, A. A.
13
2001
Index of Lie algebras of seaweed type. Zbl 0980.17001
Dergachev, Vladimir; Kirillov, Alexandre
43
2000
Family algebras. Zbl 0946.16019
Kirillov, A. A.
6
2000
Merits and demerits of the orbit method. Zbl 0940.22013
Kirillov, A. A.
61
1999
Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078
Kirillov, A. A.
25
1998
Variations on the triangular theme. Zbl 0840.22015
Kirillov, A. A.
28
1995
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
4
1995
Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006
2
1995
On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. Zbl 0873.17013
Kirillov, A. A.
2
1995
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
6
1994
The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016
Kirillov, Aleksandr
10
1993
The orbit method. I: Geometric quantization. Zbl 0935.22015
Kirillov, Aleksandr
4
1993
Identities in the Lie algebra of vector fields on the real line. Zbl 0748.17017
Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D.
1
1991
Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002
Kirillov, A. A.; Pak, I. M.
9
1990
Algebras of intermediate growth. Zbl 0705.17013
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
8
1990
La géométrie des moments pour les groupes de difféomorphismes. (The geometry of moments for the diffeomorphism groups). Zbl 0744.22022
Kirillov, A. A.
1
1990
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1
1989
Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018
Gelfand, Izrail M.
1
1989
Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015
Kirillov, A. A.; Yur’ev, D. V.
24
1988
Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). 2nd ed., rev. and compl. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie.) Zbl 0641.46003
Kirillov, A. A.; Gvishiani, A. D.
12
1988
Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004
Kirillov, A. A.
7
1988
Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005
Kirillov, A. A.
5
1988
A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031
Kirillov, A. A.
5
1988
Collected papers. Volume II. Ed. by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg. Zbl 0655.22012
Gelfand, Izrail M.
1
1988
Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001
Berezin, Feliks Aleksandrovich
99
1987
Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010
Kirillov, A. A.
28
1987
Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007
Kirillov, A. A.; Yur’ev, D. V.
27
1987
The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014
Kirillov, A. A.; Neretin, Yu. A.
15
1987
Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) Zbl 0691.58005
Warner, Frank W.
4
1987
Kählerian geometry of the infinite-dimensional homogeneous manifold \(M= \operatorname{Diff}_ +(S^1)/\operatorname{Rot}(S^1)\). Zbl 0644.53060
Kirillov, A. A.; Yur’ev, D. V.
4
1986
Geometric quantization. Zbl 0780.58024
Kirillov, A. A.
20
1985
Representations of Lie groups and Lie algebras. (Proceedings of the Summer School on Representation Theory, organized by the Bolyai János Mathematical Society at Budapest 1971. Part 2). Zbl 0581.00006
1
1985
Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007
Kirillov, A. A.
7
1984
Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020
Berezin, F. A.
85
1983
The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0518.17006
Kirillov, A. A.; Kontsevich, M. L.
3
1983
Algebras of intermediate growth. Zbl 0684.17008
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
2
1983
The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007
Kirillov, A. A.; Kontsevich, M. L.
2
1983
Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002
Kirillov, A. A.; Gvishiani, A. D.
1
1983
Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017
Kirillov, A. A.
31
1982
Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002
Kirillov, A. A.; Gvishiani, A. D.
27
1982
Invariant operators on geometric quantities. Zbl 0472.53026
Kirillov, A. A.
7
1982
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003
Kirillov, A. A.
27
1981
Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012
Kirillov, A. A.
9
1981
Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009
Kirillov, A. A.
3
1981
Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008
Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A.
1
1981
Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012
Kirillov, A. A.
2
1980
Invariant operators over geometric objects. Zbl 0453.53008
Kirillov, A. A.
2
1980
Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002
Kirillov, A. A.; Gvishiani, A. D.
23
1979
Natural differential operations on tensor fields. Zbl 0417.53009
Kirillov, A. A.
2
1979
Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001
Kirillov, A. A.
289
1976
Local Lie algebras. Zbl 0357.58003
Kirillov, A. A.
92
1976
Lokale Liealgebren. Zbl 0352.58014
Kirillov, A. A.
10
1976
Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. (Лекции о группах Шевалле.) Zbl 0307.22001
Steinberg, Robert
48
1975
The method of orbits in representation theory. Zbl 0355.22010
Kirillov, A. A.
8
1975
Structures of Lie algebra that have the locality property. Zbl 0325.58008
Kirillov, A. A.
1
1975
Representations of some infinite-dimensional Lie groups. Zbl 0285.22011
Kirillov, A. A.
6
1974
The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031
Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B.
1
1974
Representations of an infinite dimensional unitary group. Zbl 0288.22020
Kirillov, A. A.
13
1973
Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012
Kirillov, A. A.
45
1972
Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011
Kirillov, A. A.
9
1972
Konstruktionen von unitären irreduziblen Darstellungen Liescher Gruppen. Zbl 0249.22011
Kirillov, A. A.
1
1970
The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007
Gel’fand, I. M.; Kirillov, A. A.
21
1969
Sur les relations entre l’espace dual d’un groups et la structure de ses sous-groupes fermés. Zbl 0214.04602
Delaroche, C.; Kirillov, A.
13
1969
Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901
Kirillov, A. A.
13
1969
The characters of unitary representations of Lie groups. Zbl 0174.45001
Kirillov, A. A.
33
1968
Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804
Kirillov, A. A.
11
1968
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
1968
On the structure of the field of quotients of the enveloping algebra of a semisimple Lie algebra. Zbl 0244.17006
Gel’fand, I. M.; Kirillov, A. A.
1
1968
\(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401
Atiyah, Michael F.
31
1967
Dynamical systems, factors and representations of groups. Zbl 0169.46602
Kirillov, A. A.
17
1967
Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302
Kirillov, A. A.
7
1967
Certain division algebras over a field of rational functions. Zbl 0189.03601
Kirillov, A. A.
2
1967
Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104
Gelfand, I. M.; Kirillov, A. A.
114
1966
Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903
Gel’fand, I. M.; Kirillov, A. A.
8
1966
Classification of irreducible unitary representations of a group of second-order matrices with elements from a locally compact field. Zbl 0199.46303
Kirillov, A. A.
1
1966
Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505
Kirillov, A. A.
8
1965
On \(\infty\)-dimensional unitary representations of the group of second- order matrices with elements from a locally compact field. Zbl 0199.46302
Kirillov, A. A.
2
1963
Unitary representations of nilpotent Lie groups. Zbl 0106.25001
Kirillov, A. A.
202
1962
Infinite-dimensional representations of the total matrix group. Zbl 0119.26804
Kirillov, A. A.
3
1962
Unitary representations of nilpotent Lie groups. Zbl 0104.02902
Kirillov, A. A.
2
1961
On unitary representations of nilpotent Lie groups. Zbl 0090.09802
Kirillov, A. A.
86
1960
Induced representations of nilpotent Lie groups. Zbl 0087.02403
Kirillov, A. A.
1
1959
The representations of the groups of rotations of an \(n\)-dimensional Euclidean space by spherical vector fields. Zbl 0080.02205
Kirillov, A. A.
5
1957
all top 5

Cited by 1,632 Authors

19 Kirillov, Alexandre Aleksandrovich
16 Guha, Partha
16 Joseph, Anthony
16 Kisil, Vladimir V.
13 Airault, Hélène
13 Alekseev, Anton Yur’evich
13 Neretin, Yuriĭ Aleksandrovich
13 Yur’ev, Denis Valer’evich
12 Corwin, Lawrence J.
11 Cahen, Benjamin
11 Coll, Vincent E. jun.
11 Ludwig, Jean
11 Ovsienko, Valentin Yu.
10 de León Rodríguez, Manuel
10 Ignatev, Mikhail V.
10 Ooms, Alfons I.
10 Panov, Aleksandr Nikolaevich
9 Grabowski, Janusz
9 Marrero, Juan Carlos
9 Mayers, Nicholas W.
9 Vasilev, Alexander
8 Bekka, Mohammed el Bachir
8 Beltiţă, Daniel
8 Greenleaf, Frederick P.
8 Marmo, Giuseppe
8 Oblak, Blagoje
7 Karasev, Mikhail Vladimirovich
7 Ol’shanskiĭ, Grigoriĭ Iosifovich
7 Sachkov, Yuriĭ Leonidovich
6 Khesin, Boris A.
6 Makar-Limanov, Leonid G.
6 Nourrigat, Jean Francois
6 Padrón, Edith
6 Perelomov, Askold M.
6 Petrogradsky, Victor Mikhaylovich
6 Pukánszky, Lajos
6 Russoniello, Nicholas V.
6 Wolf, Joseph Albert
5 Alev, Jacques
5 Beltiţă, Ingrid
5 Freidel, Laurent
5 Gaeta, Giuseppe
5 Guerrero, Julio
5 Jenkins, Joe W.
5 Khalgui, Mohamed Salah
5 Lipsman, Ronald L.
5 Malliavin, Paul
5 Ratcliff, Gail
5 Rezaei-Aghdam, Adel
5 Rothschild, Linda Preiss
5 Sardón, Cristina
5 Shatashvili, Samson L.
4 Aldaya, Victor
4 Ali, Syed Twareque
4 André, Carlos Alberto Martins
4 Arnal, Didier
4 Barnich, Glenn
4 Berndt, Rolf
4 Borho, Walter
4 Bravetti, Alessandro
4 Burić, Ilija
4 Calixto, Manuel
4 Chowdhury, S. Hasibul Hassan
4 del Olmo, Mariano A.
4 Duflo, Michel
4 Ercolessi, Elisa
4 Etingof, Pavel Il’ich
4 Frenkel, Igor B.
4 Futorny, Vyacheslav M.
4 Grabowska, Katarzyna
4 Karamzin, Dmitry Yu.
4 Kosiński, Piotr
4 Leites, Dimitry A.
4 Lukatskij, Aleksandr Mikhailovich
4 Markina, Irina
4 Marquette, Ian
4 Marsden, Jerrold Eldon
4 Maślanka, Paweł
4 Molitor-Braun, Carine
4 Nasrin, Salma
4 Neeb, Karl-Hermann
4 Nien, Chufeng
4 Odzijewicz, Anatol
4 Panyushev, Dmitri Ivanovich
4 Penna, Robert F.
4 Penney, Richard C.
4 Ratiu, Tudor Stefan
4 Richardson, Leonard Frederick
4 Schippers, Eric D.
4 Schmüdgen, Konrad
4 Sergeev, Armen Glebovich
4 Staubach, Wolfgang
4 Teo, Lee-Peng
4 Tortorella, Alfonso Giuseppe
4 Vergne, Michèle
4 Zhang, James J.
4 Zucchini, Roberto
3 Ageev, Oleg N.
3 Alvarez, María Alejandra
3 Amirzadeh-Fard, H.
...and 1,532 more Authors
all top 5

Cited in 274 Serials

78 Journal of Geometry and Physics
63 Journal of Functional Analysis
59 Journal of Algebra
57 Journal of Mathematical Physics
54 Communications in Mathematical Physics
52 Functional Analysis and its Applications
52 Journal of High Energy Physics
39 Transactions of the American Mathematical Society
34 Journal of Mathematical Sciences (New York)
29 Letters in Mathematical Physics
24 Inventiones Mathematicae
24 Mathematische Annalen
24 Journal of Physics A: Mathematical and Theoretical
23 Advances in Mathematics
22 Proceedings of the American Mathematical Society
21 Theoretical and Mathematical Physics
20 Annales de l’Institut Fourier
19 Reports on Mathematical Physics
19 Journal of Soviet Mathematics
18 Communications in Algebra
18 Mathematical Notes
18 Mathematische Zeitschrift
16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
15 Nuclear Physics. B
15 Differential Geometry and its Applications
14 Bulletin de la Société Mathématique de France
13 Israel Journal of Mathematics
13 Compositio Mathematica
13 Algebras and Representation Theory
12 Duke Mathematical Journal
12 Bulletin des Sciences Mathématiques
12 Transformation Groups
12 International Journal of Geometric Methods in Modern Physics
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 International Journal of Theoretical Physics
11 Bulletin of the American Mathematical Society. New Series
11 Representation Theory
10 Physica D
10 Journal of Lie Theory
9 Acta Applicandae Mathematicae
9 Annals of Global Analysis and Geometry
9 Selecta Mathematica. New Series
8 Journal of Mathematical Analysis and Applications
8 Journal of Pure and Applied Algebra
7 Physics Letters. B
7 Reviews in Mathematical Physics
7 Monatshefte für Mathematik
7 Doklady Mathematics
7 Analysis and Mathematical Physics
6 Linear and Multilinear Algebra
6 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
6 Linear Algebra and its Applications
6 Annales de l’Institut Henri Poincaré. Physique Théorique
5 Ukrainian Mathematical Journal
5 International Journal of Mathematics
5 The Journal of Geometric Analysis
5 Geometric and Functional Analysis. GAFA
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 St. Petersburg Mathematical Journal
5 The Journal of Fourier Analysis and Applications
5 Annales Henri Poincaré
5 Journal of Algebra and its Applications
4 Classical and Quantum Gravity
4 Journal d’Analyse Mathématique
4 Physics Reports
4 Bulletin of the London Mathematical Society
4 Journal of Differential Equations
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Ergodic Theory and Dynamical Systems
4 Journal of the American Mathematical Society
4 Forum Mathematicum
4 Annals of Physics
4 Automation and Remote Control
4 The Electronic Journal of Combinatorics
4 Sbornik: Mathematics
4 Journal of Nonlinear Mathematical Physics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Foundations of Physics
4 Bulletin of the American Mathematical Society
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Geometric Mechanics
3 Journal of Statistical Physics
3 Russian Mathematical Surveys
3 Arkiv för Matematik
3 Acta Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Integral Equations and Operator Theory
3 Journal of Combinatorial Theory. Series A
3 Mathematische Nachrichten
3 Siberian Mathematical Journal
3 International Journal of Algebra and Computation
3 Communications in Partial Differential Equations
3 Journal of Nonlinear Science
3 Cybernetics and Systems Analysis
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Algebraic Combinatorics
3 Potential Analysis
3 Russian Journal of Mathematical Physics
3 Applied and Computational Harmonic Analysis
3 Discrete and Continuous Dynamical Systems
...and 174 more Serials
all top 5

Cited in 59 Fields

481 Topological groups, Lie groups (22-XX)
399 Nonassociative rings and algebras (17-XX)
324 Differential geometry (53-XX)
322 Quantum theory (81-XX)
184 Global analysis, analysis on manifolds (58-XX)
173 Dynamical systems and ergodic theory (37-XX)
131 Abstract harmonic analysis (43-XX)
129 Group theory and generalizations (20-XX)
126 Associative rings and algebras (16-XX)
115 Partial differential equations (35-XX)
102 Functional analysis (46-XX)
76 Mechanics of particles and systems (70-XX)
68 Algebraic geometry (14-XX)
63 Operator theory (47-XX)
52 Several complex variables and analytic spaces (32-XX)
52 Relativity and gravitational theory (83-XX)
47 Combinatorics (05-XX)
47 Probability theory and stochastic processes (60-XX)
44 Functions of a complex variable (30-XX)
42 Manifolds and cell complexes (57-XX)
34 Number theory (11-XX)
32 Ordinary differential equations (34-XX)
24 Measure and integration (28-XX)
23 Linear and multilinear algebra; matrix theory (15-XX)
21 Fluid mechanics (76-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
14 Commutative algebra (13-XX)
14 Systems theory; control (93-XX)
13 Category theory; homological algebra (18-XX)
13 Calculus of variations and optimal control; optimization (49-XX)
13 Algebraic topology (55-XX)
12 Special functions (33-XX)
12 Numerical analysis (65-XX)
11 Integral transforms, operational calculus (44-XX)
11 Geometry (51-XX)
11 Computer science (68-XX)
10 Statistics (62-XX)
8 Integral equations (45-XX)
7 \(K\)-theory (19-XX)
7 General topology (54-XX)
6 Field theory and polynomials (12-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Approximations and expansions (41-XX)
5 Information and communication theory, circuits (94-XX)
4 General and overarching topics; collections (00-XX)
4 History and biography (01-XX)
4 Convex and discrete geometry (52-XX)
3 Mathematical logic and foundations (03-XX)
3 Optics, electromagnetic theory (78-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Biology and other natural sciences (92-XX)
2 General algebraic systems (08-XX)
2 Potential theory (31-XX)
2 Operations research, mathematical programming (90-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Real functions (26-XX)
1 Difference and functional equations (39-XX)
1 Geophysics (86-XX)

Citations by Year

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