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Kirillov, Alexandre Aleksandrovich

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Author ID: kirillov.alexandre-aleksandrovich Recent zbMATH articles by "Kirillov, Alexandre Aleksandrovich"
Published as: Kirillov, A. A.; Kirillov, Alexander; Kirillov, Alexandre; Kirillov, Alexandre Aleksandrovich; Kirillov, Aleksandr; Kirillov, A.; Kirillov, Aleksandr Aleksandrovich; Kirillov, Alexandre A.; Kirillov, Alexandr A.; Kririllov, A. A.; Kilillov, A. A.
Homepage: http://www.math.upenn.edu/~kirillov/
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Documents Indexed: 129 Publications since 1957, including 24 Books
Biographic References: 5 Publications
all top 5

Co-Authors

73 single-authored
10 Gel’fand, Israil’ Moiseevich
5 Gindikin, Simon Grigorevich
5 Gvishiani, Alekseĭ Dzhermenovich
5 Molev, Alexander I.
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 Neretin, Yuriĭ Aleksandrovich
4 Sinaĭ, Yakov Grigor’evich
3 Faddeev, Lyudvig Dmitrievich
3 Molchanov, Vladimir Fedorovich
3 Novikov, Sergeĭ Petrovich
3 Ovsienko, Valentin Yu.
3 Vershik, Anatoliĭ Moiseevich
3 Yur’ev, Denis Valer’evich
2 Dobrushin, Roland Lvovich
2 Glagoleva, E. G.
2 Graev, Mark Iosifovich
2 Ilyashenko, Yulij Sergeevich
2 Kolmogorov, Andreĭ Nikolaevich
2 Konstantinov, N. N.
2 Konstantinov, N. N.
2 Kreĭn, Mark Grigor’evich
2 Leites, Dimitry A.
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 Borodin, Alexei
1 Bufetov, Aleksandr Igorevich
1 Bufetov, Alekseĭ Igor’evich
1 Bukhshtaber, Viktor Matveevich
1 Cherkassky, Boris V.
1 Chernavskij, A. V.
1 Dergachev, Vladimir
1 Dinitz, E. A.
1 Faradzhev, Igor Aleksandrovich
1 Fialowski, Alice
1 Fomin, Sergey Vladimirovich
1 Fuchs, Ekaterina
1 Fuchs, Elena D.
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 Khoroshkin, Sergey M.
1 Khovanskiĭ, Askold Georgievich
1 Konstantinv, N. N.
1 Kronrod, M. A.
1 Kuznetsov, Oleg P.
1 Lando, Sergei K.
1 Litvinov, Grigory Lazarevich
1 Lodkin, A. A.
1 Malikov, Fyodor
1 Morier-Genoud, Sophie
1 Nazarov, Maxim Leonidovich
1 Nessonov, Nikolai I.
1 Okun, Lev B.
1 Pak, Igor
1 Petrov, Fedor Vladimirovich
1 Petrov, Leonid
1 Pevzner, Pavel A.
1 Retakh, Vladimir Solomonovich
1 Rybnikov, Leonid Grigor’evich
1 Ryzhikov, Valeriĭ Valentinovich
1 Semenov, Alexei Lvovich
1 Shkalikov, Andreĭ Andreevich
1 Skopenkov, Mikhail B.
1 Sosinskiĭ, Alekseĭ Bronislavovich
1 Suncheleev, R. R.
1 Tabachnikov, Serge L.
1 Tsfasman, Michael A.
1 Tsilevich, Natalia V.
1 Udalova, O. D.
1 Vasil’ev, Viktor Anatol’evich
1 Yakubovich, Yuri V.

Publications by Year

Citations contained in zbMATH Open

83 Publications have been cited 1,436 times in 1,258 Documents Cited by Year
Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001
Kirillov, A. A.
233
1976
Unitary representations of nilpotent Lie groups. Zbl 0106.25001
Kirillov, A. A.
175
1962
Lectures on the orbit method. Zbl 1229.22003
Kirillov, A. A.
130
2004
Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104
Gelfand, I. M.; Kirillov, A. A.
106
1966
On unitary representations of nilpotent Lie groups. Zbl 0090.09802
Kirillov, A. A.
78
1960
Local Lie algebras. Zbl 0357.58003
Kirillov, A. A.
70
1976
Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012
Kirillov, A. A.
46
1972
Merits and demerits of the orbit method. Zbl 0940.22013
Kirillov, A. A.
42
1999
Index of Lie algebras of seaweed type. Zbl 0980.17001
Dergachev, Vladimir; Kirillov, Alexandre
31
2000
The characters of unitary representations of Lie groups. Zbl 0174.45001
Kirillov, A. A.
30
1968
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.
24
1995
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003
Kirillov, A. A.
24
1981
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.
24
1982
Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010
Kirillov, A. A.
21
1987
Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015
Kirillov, A. A.; Yur’ev, D. V.
21
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.
20
1979
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
Geometric quantization. Zbl 0780.58024
Kirillov, A. A.
19
1985
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.
19
1987
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
Representations of an infinite dimensional unitary group. Zbl 0288.22020
Kirillov, A. A.
11
1973
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
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.
10
1988
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
9
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
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
Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012
Kirillov, A. A.
6
1981
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
Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302
Kirillov, A. A.
6
1967
Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002
Kirillov, A. A.; Pak, I. M.
6
1990
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
Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006
Gamkrelidze, R. V. (ed.); Kirillov, A. A. (ed.)
4
1994
Family algebras. Zbl 0946.16019
Kirillov, A. A.
4
2000
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
Invariant operators on geometric quantities. Zbl 0472.53026
Kirillov, A. A.
4
1982
On a remarkable sequence of polynomials. Zbl 0883.15009
Kirillov, A. A.; Melnikov, A.
3
1995
The orbit method. I: Geometric quantization. Zbl 0935.22015
Kirillov, Aleksandr
3
1993
Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002
Kirillov, Alexander; Starkov, Victor
3
2013
A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031
Kirillov, A. A.
3
1988
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
Lokale Liealgebren. Zbl 0352.58014
Kirillov, A. A.
3
1976
Two more variations on the triangular theme. Zbl 1062.22021
Kirillov, A. A.
3
2003
Infinite-dimensional representations of the total matrix group. Zbl 0119.26804
Kirillov, A. A.
3
1962
Algebras of intermediate growth. Zbl 0684.17008
Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I.
2
1983
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
Natural differential operations on tensor fields. Zbl 0417.53009
Kirillov, A. A.
2
1979
Theory of group representations. Zbl 0205.13301
Graev, M. I.; Kirillov, A. A.
2
1968
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
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
On tangent cones of Schubert varieties. Zbl 1427.14103
Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin
1
2017
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
Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010
Kirillov, A. A.
1
2008
Identities in Lie algebras of vector fields. Zbl 0707.17004
Kirillov, A. A.
1
1989
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
Kirillov, A. A. (ed.)
1
1985
Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002
Kirillov, A. A.; Gvishiani, A. D.
1
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.
1
1983
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
Certain division algebras over a field of rational functions. Zbl 0189.03601
Kirillov, A. A.
1
1967
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 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
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
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.
130
2004
Two more variations on the triangular theme. Zbl 1062.22021
Kirillov, A. A.
3
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
31
2000
Family algebras. Zbl 0946.16019
Kirillov, A. A.
4
2000
Merits and demerits of the orbit method. Zbl 0940.22013
Kirillov, A. A.
42
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.
24
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
Gamkrelidze, R. V.; Kirillov, A. A.
4
1994
The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016
Kirillov, Aleksandr
9
1993
The orbit method. I: Geometric quantization. Zbl 0935.22015
Kirillov, Aleksandr
3
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.
6
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
Identities in Lie algebras of vector fields. Zbl 0707.17004
Kirillov, A. A.
1
1989
Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015
Kirillov, A. A.; Yur’ev, D. V.
21
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.
10
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.
3
1988
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.
19
1987
The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014
Kirillov, A. A.; Neretin, Yu. A.
8
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.
19
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
Kirillov, A. A.
1
1985
Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007
Kirillov, A. A.
6
1984
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
Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002
Kirillov, A. A.; Gvishiani, A. D.
1
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.
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.
24
1982
Invariant operators on geometric quantities. Zbl 0472.53026
Kirillov, A. A.
4
1982
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003
Kirillov, A. A.
24
1981
Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012
Kirillov, A. A.
6
1981
Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009
Kirillov, A. A.
3
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.
20
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.
233
1976
Local Lie algebras. Zbl 0357.58003
Kirillov, A. A.
70
1976
Lokale Liealgebren. Zbl 0352.58014
Kirillov, A. A.
3
1976
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.
46
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
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.
1
1967
Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104
Gelfand, I. M.; Kirillov, A. A.
106
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.
175
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.
78
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 1,295 Authors

16 Joseph, Anthony
16 Kirillov, Alexandre Aleksandrovich
14 Guha, Partha
13 Airault, Hélène
13 Yur’ev, Denis Valer’evich
12 Corwin, Lawrence J.
11 Kisil, Vladimir V.
10 Ludwig, Jean
10 Ovsienko, Valentin Yu.
10 Panov, Aleksandr Nikolaevich
9 Neretin, Yuriĭ Aleksandrovich
9 Ooms, Alfons I.
8 Beltiţă, Daniel
8 Cahen, Benjamin
8 Greenleaf, Frederick P.
7 Alekseev, Anton Yu.
7 Karasev, Mikhail Vladimirovich
7 Marrero, Juan Carlos
7 Vasilev, Alexander
6 Bekka, Mohammed el Bachir
6 Khesin, Boris A.
6 Marmo, Giuseppe
6 Nourrigat, Jean Francois
6 Oblak, Blagoje
6 Perelomov, Askold M.
6 Pukánszky, Lajos
5 Alev, Jacques
5 Beltiţă, Ingrid
5 Coll, Vincent E. jun.
5 Gaeta, Giuseppe
5 Grabowski, Janusz
5 Ignatyev, Mikhail V.
5 Jenkins, Joe W.
5 Khalgui, Mohamed Salah
5 Lipsman, Ronald L.
5 Malliavin, Paul
5 Ol’shanskiĭ, Grigoriĭ Iosifovich
5 Petrogradsky, Victor Mikhaylovich
5 Ratcliff, Gail
5 Rothschild, Linda Preiss
4 Ali, Syed Twareque
4 Berndt, Rolf
4 Borho, Walter
4 del Olmo, Mariano A.
4 Duflo, Michel
4 Ercolessi, Elisa
4 Etingof, Pavel Il’ich
4 Karamzin, Dmitry Yu.
4 Lukatskij, Aleksandr Mikhailovich
4 Makar-Limanov, Leonid G.
4 Molitor-Braun, Carine
4 Nasrin, Salma
4 Neeb, Karl-Hermann
4 Odzijewicz, Anatol
4 Padrón, Edith
4 Penney, Richard C.
4 Richardson, Leonard Frederick
4 Sachkov, Yuriĭ Leonidovich
4 Schmüdgen, Konrad
4 Sergeev, Armen Glebovich
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 Bell, Jason P.
3 Benoist, Yves
3 Benson, Chal
3 Borodin, Alexei
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 de León Rodríguez, Manuel
3 Do Ngoc Diep
3 Duistermaat, Johannes Jisse
3 Dumas, François
3 Duval, Christian
3 Dvorsky, Alexander
3 Fauquant-Millet, Florence
3 Frenkel, Igor B.
3 Fulman, Jason E.
3 Futorny, Vyacheslav M.
3 Gauthier, Jean-Paul A.
3 Gel’fand, Israil’ Moiseevich
3 Gordina, Maria
3 Guerrero, Julio
3 Guieu, Laurent
3 Harris, Benjamin
3 Iglesias, David
3 Ignat’ev, M. V.
3 Janyška, Josef
3 Kazhdan, David A.
3 Kissin, Edward V.
3 Korányi, Adam
...and 1,195 more Authors
all top 5

Cited in 223 Serials

65 Journal of Geometry and Physics
62 Journal of Functional Analysis
53 Communications in Mathematical Physics
52 Journal of Mathematical Physics
52 Functional Analysis and its Applications
52 Journal of Algebra
38 Transactions of the American Mathematical Society
34 Journal of Mathematical Sciences (New York)
26 Letters in Mathematical Physics
25 Journal of High Energy Physics
23 Inventiones Mathematicae
22 Advances in Mathematics
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 Mathematical Notes
18 Reports on Mathematical Physics
17 Communications in Algebra
16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
16 Mathematische Zeitschrift
14 Bulletin de la Société Mathématique de France
12 Nuclear Physics. B
12 Compositio Mathematica
12 Duke Mathematical Journal
12 Differential Geometry and its Applications
12 Bulletin des Sciences Mathématiques
11 Israel Journal of Mathematics
11 Bulletin of the American Mathematical Society. New Series
11 Transformation Groups
11 International Journal of Geometric Methods in Modern Physics
10 International Journal of Theoretical Physics
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
8 Acta Applicandae Mathematicae
8 Physica D
8 Representation Theory
8 Algebras and Representation Theory
7 Journal of Mathematical Analysis and Applications
7 Journal of Pure and Applied Algebra
7 Annals of Global Analysis and Geometry
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 Journal of Physics A: Mathematical and Theoretical
5 Physics Letters. B
5 Ukrainian Mathematical Journal
5 Reviews in Mathematical Physics
5 Geometric and Functional Analysis. GAFA
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 St. Petersburg Mathematical Journal
5 Selecta Mathematica. New Series
4 Journal d’Analyse Mathématique
4 Journal of Differential Equations
4 Monatshefte für Mathematik
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Journal of the American Mathematical Society
4 Automation and Remote Control
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 Analysis and Mathematical Physics
3 Classical and Quantum Gravity
3 Journal of Statistical Physics
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 Annals of Physics
3 Communications in Partial Differential Equations
3 Journal of Nonlinear Science
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Potential Analysis
3 Russian Journal of Mathematical Physics
3 The Electronic Journal of Combinatorics
3 Sbornik: Mathematics
3 Discrete and Continuous Dynamical Systems
3 The Journal of Fourier Analysis and Applications
3 Doklady Mathematics
3 Lobachevskii Journal of Mathematics
3 Journal of Nonlinear Mathematical Physics
3 Differential Equations
3 Proceedings of the Japan Academy
3 Proceedings of the Steklov Institute of Mathematics
3 Japanese Journal of Mathematics. 3rd Series
3 Journal of Geometric Mechanics
2 International Journal of Modern Physics A
2 Archive for Rational Mechanics and Analysis
2 Bulletin of the Australian Mathematical Society
2 Linear and Multilinear Algebra
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Physics Reports
2 Annali di Matematica Pura ed Applicata. Serie Quarta
...and 123 more Serials
all top 5

Cited in 57 Fields

415 Topological groups, Lie groups (22-XX)
329 Nonassociative rings and algebras (17-XX)
253 Differential geometry (53-XX)
247 Quantum theory (81-XX)
167 Global analysis, analysis on manifolds (58-XX)
138 Dynamical systems and ergodic theory (37-XX)
119 Abstract harmonic analysis (43-XX)
111 Associative rings and algebras (16-XX)
106 Group theory and generalizations (20-XX)
98 Partial differential equations (35-XX)
88 Functional analysis (46-XX)
52 Algebraic geometry (14-XX)
48 Operator theory (47-XX)
45 Several complex variables and analytic spaces (32-XX)
45 Mechanics of particles and systems (70-XX)
41 Probability theory and stochastic processes (60-XX)
37 Manifolds and cell complexes (57-XX)
34 Relativity and gravitational theory (83-XX)
33 Functions of a complex variable (30-XX)
30 Combinatorics (05-XX)
28 Number theory (11-XX)
26 Ordinary differential equations (34-XX)
23 Measure and integration (28-XX)
19 Linear and multilinear algebra; matrix theory (15-XX)
15 Fluid mechanics (76-XX)
13 Harmonic analysis on Euclidean spaces (42-XX)
13 Statistical mechanics, structure of matter (82-XX)
12 Commutative algebra (13-XX)
11 Special functions (33-XX)
11 Algebraic topology (55-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Systems theory; control (93-XX)
9 Numerical analysis (65-XX)
8 Category theory; homological algebra (18-XX)
8 Integral equations (45-XX)
8 Computer science (68-XX)
7 Statistics (62-XX)
6 Approximations and expansions (41-XX)
6 Geometry (51-XX)
6 General topology (54-XX)
5 Field theory and polynomials (12-XX)
5 \(K\)-theory (19-XX)
4 Integral transforms, operational calculus (44-XX)
4 Information and communication theory, circuits (94-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-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

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