×

Kirillov, Alexandre Aleksandrovich

Compute Distance To:
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
all top 5

Co-Authors

73 single-authored
13 Gel’fand, Israil’ Moiseevich
8 Gindikin, Simon Grigorevich
5 Gvishiani, Alekseĭ Dzhermenovich
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 Lvovich
4 Kushnirenko, A. G.
4 Sinaĭ, Yakov Grigor’evich
3 Faddeev, Lyudvig Dmitrievich
3 Guillemin, Victor W.
3 Konstantinov, N. N.
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 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 Shubin, Mikhail Aleksandrovich
2 Starkov, Victor V.
2 Tikhomirov, Vladimir Mikhaĭlovich
1 Anantharaman-Delaroche, Claire
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 Konstantinov, N. N.
1 Konstantinv, N. N.
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 Retakh, Vladimir Solomonovich
1 Rubin, Sergey G.
1 Rybnikov, Leonid Grigor’evich
1 Ryzhikov, Valeriĭ Valentinovich
...and 19 more Co-Authors
all top 5

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

90 Publications have been cited 1,744 times in 1,321 Documents Cited by Year
Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001
Kirillov, A. A.
241
1976
Unitary representations of nilpotent Lie groups. Zbl 0106.25001
Kirillov, A. A.
181
1962
Lectures on the orbit method. Zbl 1229.22003
Kirillov, A. A.
155
2004
Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104
Gelfand, I. M.; Kirillov, A. A.
110
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
79
1987
On unitary representations of nilpotent Lie groups. Zbl 0090.09802
Kirillov, A. A.
79
1960
Local Lie algebras. Zbl 0357.58003
Kirillov, A. A.
76
1976
Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020
Berezin, F. A.
75
1983
Merits and demerits of the orbit method. Zbl 0940.22013
Kirillov, A. A.
49
1999
Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012
Kirillov, A. A.
45
1972
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
45
1975
Index of Lie algebras of seaweed type. Zbl 0980.17001
Dergachev, Vladimir; Kirillov, Alexandre
34
2000
\(K\)-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.
30
1967
The characters of unitary representations of Lie groups. Zbl 0174.45001
Kirillov, A. A.
30
1968
Variations on the triangular theme. Zbl 0840.22015
Kirillov, A. A.
25
1995
Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078
Kirillov, A. A.
25
1998
Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002
Kirillov, A. A.; Gvishiani, A. D.
24
1982
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003
Kirillov, A. A.
23
1981
Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017
Kirillov, A. A.
23
1982
Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015
Kirillov, A. A.; Yur’ev, D. V.
22
1988
Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010
Kirillov, A. A.
21
1987
Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002
Kirillov, A. A.; Gvishiani, A. D.
21
1979
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.
20
1987
Geometric quantization. Zbl 0780.58024
Kirillov, A. A.
20
1985
The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007
Gel’fand, I. M.; Kirillov, A. A.
20
1969
Dynamical systems, factors and representations of groups. Zbl 0169.46602
Kirillov, A. A.
13
1967
Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901
Kirillov, A. A.
12
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.
11
1988
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.
11
1969
Representations of an infinite dimensional unitary group. Zbl 0288.22020
Kirillov, A. A.
11
1973
Introduction to family algebras. Zbl 0981.15013
Kirillov, A. A.
10
2001
The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016
Kirillov, Aleksandr
10
1993
Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804
Kirillov, A. A.
9
1968
The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014
Kirillov, A. A.; Neretin, Yu. A.
8
1987
Algebras of intermediate growth. Zbl 0705.17013
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
8
1990
The method of orbits in representation theory. Zbl 0355.22010
Kirillov, A. A.
8
1975
Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011
Kirillov, A. A.
8
1972
Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002
Kirillov, A. A.; Pak, I. M.
8
1990
Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012
Kirillov, A. A.
7
1981
Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505
Kirillov, A. A.
7
1965
Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007
Kirillov, A. A.
6
1984
A tale of two fractals. Zbl 1273.00004
Kirillov, A. A.
6
2013
Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302
Kirillov, A. A.
6
1967
Representations of some infinite-dimensional Lie groups. Zbl 0285.22011
Kirillov, A. A.
6
1974
Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903
Gel’fand, I. M.; Kirillov, A. A.
6
1966
Invariant operators on geometric quantities. Zbl 0472.53026
Kirillov, A. A.
5
1982
Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004
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 \(M=Diff_ +(S^ 1)/Rot(S^ 1)\). Zbl 0644.53060
Kirillov, A. A.; Yur’ev, D. V.
4
1986
Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005
Kirillov, A. A.
4
1988
A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031
Kirillov, A. A.
4
1988
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
The orbit method. I: Geometric quantization. Zbl 0935.22015
Kirillov, Aleksandr
4
1993
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
4
1994
Family algebras. Zbl 0946.16019
Kirillov, A. A.
4
2000
Two more variations on the triangular theme. Zbl 1062.22021
Kirillov, A. A.
4
2003
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
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
3
1995
Lokale Liealgebren. Zbl 0352.58014
Kirillov, A. A.
3
1976
Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002
Kirillov, Alexander; Starkov, Victor
3
2013
Infinite-dimensional representations of the total matrix group. Zbl 0119.26804
Kirillov, A. A.
3
1962
Invariant operators over geometric objects. Zbl 0453.53008
Kirillov, A. A.
2
1980
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
Algebras of intermediate growth. Zbl 0684.17008
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
2
1983
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
Certain division algebras over a field of rational functions. Zbl 0189.03601
Kirillov, A. A.
2
1967
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
1968
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
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
Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002
Kirillov, A. A.; Gvishiani, A. D.
1
1983
The orbit method and finite groups. Zbl 1147.22300
Kirillov, A. A.
1
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
Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010
Kirillov, A. A.
1
2008
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциалъные 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
Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033
Kirillov, Alexander; Starkov, Victor
1
2015
On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. Zbl 0873.17013
Kirillov, A. A.
1
1995
Structures of Lie algebra that have the locality property. Zbl 0325.58008
Kirillov, A. A.
1
1975
On tangent cones of Schubert varieties. Zbl 1427.14103
Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin
1
2017
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.
1
1963
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
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
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
Induced representations of nilpotent Lie groups. Zbl 0087.02403
Kirillov, A. A.
1
1959
Unitary representations of nilpotent Lie groups. Zbl 0104.02902
Kirillov, A. A.
1
1961
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.
6
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.
1
2008
The orbit method and finite groups. Zbl 1147.22300
Kirillov, A. A.
1
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.
155
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.
10
2001
Index of Lie algebras of seaweed type. Zbl 0980.17001
Dergachev, Vladimir; Kirillov, Alexandre
34
2000
Family algebras. Zbl 0946.16019
Kirillov, A. A.
4
2000
Merits and demerits of the orbit method. Zbl 0940.22013
Kirillov, A. A.
49
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.
25
1995
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
3
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.
1
1995
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
4
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
Algebras of intermediate growth. Zbl 0705.17013
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
8
1990
Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002
Kirillov, A. A.; Pak, I. M.
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. (Дифференциалъные 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.
22
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.
11
1988
Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004
Kirillov, A. A.
5
1988
Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005
Kirillov, A. A.
4
1988
A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031
Kirillov, A. A.
4
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
79
1987
Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010
Kirillov, A. A.
21
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.
20
1987
The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014
Kirillov, A. A.; Neretin, Yu. A.
8
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 \(M=Diff_ +(S^ 1)/Rot(S^ 1)\). 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.
6
1984
Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020
Berezin, F. A.
75
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
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
Algebras of intermediate growth. Zbl 0684.17008
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
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
Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002
Kirillov, A. A.; Gvishiani, A. D.
24
1982
Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017
Kirillov, A. A.
23
1982
Invariant operators on geometric quantities. Zbl 0472.53026
Kirillov, A. A.
5
1982
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003
Kirillov, A. A.
23
1981
Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012
Kirillov, A. A.
7
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
Invariant operators over geometric objects. Zbl 0453.53008
Kirillov, A. A.
2
1980
Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012
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.
21
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.
241
1976
Local Lie algebras. Zbl 0357.58003
Kirillov, A. A.
76
1976
Lokale Liealgebren. Zbl 0352.58014
Kirillov, A. A.
3
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
45
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.
11
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.
8
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.
20
1969
Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901
Kirillov, A. A.
12
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.
11
1969
The characters of unitary representations of Lie groups. Zbl 0174.45001
Kirillov, A. A.
30
1968
Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804
Kirillov, A. A.
9
1968
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
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.
30
1967
Dynamical systems, factors and representations of groups. Zbl 0169.46602
Kirillov, A. A.
13
1967
Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302
Kirillov, A. A.
6
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.
110
1966
Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903
Gel’fand, I. M.; Kirillov, A. A.
6
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.
7
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.
1
1963
Unitary representations of nilpotent Lie groups. Zbl 0106.25001
Kirillov, A. A.
181
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.
1
1961
On unitary representations of nilpotent Lie groups. Zbl 0090.09802
Kirillov, A. A.
79
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 1,364 Authors

17 Kirillov, Alexandre Aleksandrovich
16 Joseph, Anthony
15 Guha, Partha
13 Airault, Hélène
13 Yur’ev, Denis Valer’evich
12 Corwin, Lawrence J.
12 Kisil, Vladimir V.
11 Ignatev, Mikhail V.
11 Ludwig, Jean
10 Neretin, Yuriĭ Aleksandrovich
10 Ooms, Alfons I.
10 Ovsienko, Valentin Yu.
10 Panov, Aleksandr Nikolaevich
9 Alekseev, Anton Yu.
8 Beltiţă, Daniel
8 Cahen, Benjamin
8 Coll, Vincent E. jun.
8 Greenleaf, Frederick P.
7 Karasev, Mikhail Vladimirovich
7 Marrero, Juan Carlos
7 Vasilev, Alexander
6 Bekka, Mohammed el Bachir
6 Grabowski, Janusz
6 Khesin, Boris A.
6 Marmo, Giuseppe
6 Mayers, Nicholas W.
6 Nourrigat, Jean Francois
6 Oblak, Blagoje
6 Ol’shanskiĭ, Grigoriĭ Iosifovich
6 Perelomov, Askold M.
6 Petrogradsky, Victor Mikhaylovich
6 Pukánszky, Lajos
6 Sachkov, Yuriĭ Leonidovich
5 Alev, Jacques
5 Beltiţă, Ingrid
5 Gaeta, Giuseppe
5 Jenkins, Joe W.
5 Khalgui, Mohamed Salah
5 Lipsman, Ronald L.
5 Malliavin, Paul
5 Ratcliff, Gail
5 Rothschild, Linda Preiss
4 Ali, Syed Twareque
4 Arnal, Didier
4 Berndt, Rolf
4 Borho, Walter
4 de León Rodríguez, Manuel
4 del Olmo, Mariano A.
4 Duflo, Michel
4 Ercolessi, Elisa
4 Etingof, Pavel Il’ich
4 Freidel, Laurent
4 Frenkel, Igor B.
4 Karamzin, Dmitry Yu.
4 Leites, Dimitry A.
4 Lukatskij, Aleksandr Mikhailovich
4 Makar-Limanov, Leonid G.
4 Marsden, Jerrold Eldon
4 Molitor-Braun, Carine
4 Nasrin, Salma
4 Neeb, Karl-Hermann
4 Odzijewicz, Anatol
4 Padrón, Edith
4 Penney, Richard C.
4 Rezaei-Aghdam, Adel
4 Richardson, Leonard Frederick
4 Schmüdgen, Konrad
4 Sergeev, Armen Glebovich
4 Shatashvili, Samson L.
4 Teo, Lee-Peng
4 Vergne, Michèle
4 Zhang, James J.
3 Ageev, Oleg N.
3 Aldaya, Victor
3 André, Carlos Alberto Martins
3 Arutyunov, Aram Vladimirovic
3 Auslander, Louis
3 Bai, Zhanqiang
3 Baklouti, Ali
3 Barnich, Glenn
3 Bell, Jason P.
3 Benoist, Yves
3 Benson, Chal
3 Berge, Eirik
3 Berline, Nicole
3 Borodin, Alexei
3 Bouarroudj, Sofiane
3 Boyarchenko, Mitya
3 Breev, A. I.
3 Bufetov, Alekseĭ Igor’evich
3 Calixto, Manuel
3 Chowdhury, S. Hasibul Hassan
3 Cygan, Jacek M.
3 Do Ngoc Diep
3 Duistermaat, Johannes Jisse
3 Dumas, François
3 Duval, Christian
3 Dvorsky, Alexander
3 Fauquant-Millet, Florence
3 Fulman, Jason E.
...and 1,264 more Authors
all top 5

Cited in 234 Serials

68 Journal of Geometry and Physics
63 Journal of Functional Analysis
54 Communications in Mathematical Physics
53 Journal of Algebra
52 Journal of Mathematical Physics
52 Functional Analysis and its Applications
38 Transactions of the American Mathematical Society
34 Journal of Mathematical Sciences (New York)
31 Journal of High Energy Physics
27 Letters in Mathematical Physics
23 Advances in Mathematics
23 Inventiones Mathematicae
22 Proceedings of the American Mathematical Society
21 Theoretical and Mathematical Physics
21 Mathematische Annalen
20 Annales de l’Institut Fourier
19 Journal of Soviet Mathematics
18 Communications in Algebra
18 Mathematical Notes
18 Reports on Mathematical Physics
17 Mathematische Zeitschrift
16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
14 Bulletin de la Société Mathématique de France
13 Nuclear Physics. B
13 Differential Geometry and its Applications
12 Compositio Mathematica
12 Duke Mathematical Journal
12 Bulletin des Sciences Mathématiques
11 International Journal of Theoretical Physics
11 Israel Journal of Mathematics
11 Bulletin of the American Mathematical Society. New Series
11 Transformation Groups
11 Algebras and Representation Theory
11 International Journal of Geometric Methods in Modern Physics
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Acta Applicandae Mathematicae
9 Representation Theory
8 Annals of Global Analysis and Geometry
8 Physica D
7 Journal of Mathematical Analysis and Applications
7 Journal of Pure and Applied Algebra
6 Physics Letters. B
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
6 Selecta Mathematica. New Series
6 Journal of Physics A: Mathematical and Theoretical
5 Ukrainian Mathematical Journal
5 Reviews in Mathematical Physics
5 Monatshefte für Mathematik
5 Geometric and Functional Analysis. GAFA
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 St. Petersburg Mathematical Journal
5 Doklady Mathematics
4 Journal d’Analyse Mathématique
4 Journal of Differential Equations
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Journal of the American Mathematical Society
4 The Journal of Geometric Analysis
4 Automation and Remote Control
4 The Electronic Journal of Combinatorics
4 Journal of Lie Theory
4 The Journal of Fourier Analysis and Applications
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Journal of Algebra and its Applications
4 Foundations of Physics
4 Bulletin of the American Mathematical Society
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Geometric Mechanics
4 Analysis and Mathematical Physics
3 Classical and Quantum Gravity
3 Journal of Statistical Physics
3 Physics Reports
3 Russian Mathematical Surveys
3 Arkiv för Matematik
3 Acta Mathematica
3 Integral Equations and Operator Theory
3 Journal of Combinatorial Theory. Series A
3 Mathematische Nachrichten
3 Siberian Mathematical Journal
3 Ergodic Theory and Dynamical Systems
3 Forum Mathematicum
3 International Journal of Mathematics
3 International Journal of Algebra and Computation
3 Annals of Physics
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 Sbornik: Mathematics
3 Discrete and Continuous Dynamical Systems
3 Lobachevskii Journal of Mathematics
3 Journal of Nonlinear Mathematical Physics
3 Differential Equations
3 Proceedings of the Japan Academy
3 Japanese Journal of Mathematics. 3rd Series
...and 134 more Serials
all top 5

Cited in 57 Fields

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

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.