Edit Profile Kirillov, Alexandre Aleksandrovich Compute Distance To: Compute Author ID: 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. 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 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 Journal of Fixed Point Theory and Applications 1 Arnold Mathematical Journal 1 Problem Books in Mathematics all top 5 Fields 49 Topological groups, Lie groups (22-XX) 34 Nonassociative rings and algebras (17-XX) 14 History and biography (01-XX) 14 Differential geometry (53-XX) 14 Global analysis, analysis on manifolds (58-XX) 12 General and overarching topics; collections (00-XX) 12 Group theory and generalizations (20-XX) 10 Abstract harmonic analysis (43-XX) 9 Functional analysis (46-XX) 9 Operator theory (47-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Associative rings and algebras (16-XX) 6 General topology (54-XX) 6 Algebraic topology (55-XX) 5 Algebraic geometry (14-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Manifolds and cell complexes (57-XX) 4 Measure and integration (28-XX) 4 Quantum theory (81-XX) 2 Combinatorics (05-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications 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 0342.22001Kirillov, A. A. 233 1976 Unitary representations of nilpotent Lie groups. Zbl 0106.25001Kirillov, A. A. 175 1962 Lectures on the orbit method. Zbl 1229.22003Kirillov, A. A. 130 2004 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104Gelfand, I. M.; Kirillov, A. A. 106 1966 On unitary representations of nilpotent Lie groups. Zbl 0090.09802Kirillov, A. A. 78 1960 Local Lie algebras. Zbl 0357.58003Kirillov, A. A. 70 1976 Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012Kirillov, A. A. 46 1972 Merits and demerits of the orbit method. Zbl 0940.22013Kirillov, A. A. 42 1999 Index of Lie algebras of seaweed type. Zbl 0980.17001Dergachev, Vladimir; Kirillov, Alexandre 31 2000 The characters of unitary representations of Lie groups. Zbl 0174.45001Kirillov, A. A. 30 1968 Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078Kirillov, A. A. 25 1998 Variations on the triangular theme. Zbl 0840.22015Kirillov, A. A. 24 1995 Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003Kirillov, A. A. 24 1981 Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002Kirillov, A. A.; Gvishiani, A. D. 24 1982 Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017Kirillov, A. A. 24 1982 Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010Kirillov, A. A. 21 1987 Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015Kirillov, A. A.; Yur’ev, D. V. 21 1988 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002Kirillov, A. A.; Gvishiani, A. D. 20 1979 The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007Gel’fand, I. M.; Kirillov, A. A. 20 1969 Geometric quantization. Zbl 0780.58024Kirillov, A. A. 19 1985 Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007Kirillov, A. A.; Yur’ev, D. V. 19 1987 Dynamical systems, factors and representations of groups. Zbl 0169.46602Kirillov, A. A. 13 1967 Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901Kirillov, A. A. 12 1969 Representations of an infinite dimensional unitary group. Zbl 0288.22020Kirillov, A. A. 11 1973 Sur les relations entre l’espace dual d’un groups et la structure de ses sous-groupes fermés. Zbl 0214.04602Delaroche, 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 0641.46003Kirillov, A. A.; Gvishiani, A. D. 10 1988 Introduction to family algebras. Zbl 0981.15013Kirillov, A. A. 10 2001 The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016Kirillov, Aleksandr 9 1993 Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804Kirillov, A. A. 9 1968 The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014Kirillov, A. A.; Neretin, Yu. A. 8 1987 Algebras of intermediate growth. Zbl 0705.17013Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 8 1990 The method of orbits in representation theory. Zbl 0355.22010Kirillov, A. A. 8 1975 Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011Kirillov, A. A. 8 1972 Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505Kirillov, A. A. 7 1965 Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007Kirillov, A. A. 6 1984 A tale of two fractals. Zbl 1273.00004Kirillov, A. A. 6 2013 Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012Kirillov, A. A. 6 1981 Representations of some infinite-dimensional Lie groups. Zbl 0285.22011Kirillov, A. A. 6 1974 Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903Gel’fand, I. M.; Kirillov, A. A. 6 1966 Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302Kirillov, A. A. 6 1967 Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002Kirillov, A. A.; Pak, I. M. 6 1990 Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004Kirillov, A. A. 5 1988 The representations of the groups of rotations of an \(n\)-dimensional Euclidean space by spherical vector fields. Zbl 0080.02205Kirillov, A. A. 5 1957 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006Gamkrelidze, R. V. (ed.); Kirillov, A. A. (ed.) 4 1994 Family algebras. Zbl 0946.16019Kirillov, A. A. 4 2000 Kählerian geometry of the infinite-dimensional homogeneous manifold \(M=Diff_ +(S^ 1)/Rot(S^ 1)\). Zbl 0644.53060Kirillov, A. A.; Yur’ev, D. V. 4 1986 Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005Kirillov, A. A. 4 1988 Invariant operators on geometric quantities. Zbl 0472.53026Kirillov, A. A. 4 1982 On a remarkable sequence of polynomials. Zbl 0883.15009Kirillov, A. A.; Melnikov, A. 3 1995 The orbit method. I: Geometric quantization. Zbl 0935.22015Kirillov, Aleksandr 3 1993 Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002Kirillov, Alexander; Starkov, Victor 3 2013 A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031Kirillov, A. A. 3 1988 Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009Kirillov, A. A. 3 1981 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0518.17006Kirillov, A. A.; Kontsevich, M. L. 3 1983 Lokale Liealgebren. Zbl 0352.58014Kirillov, A. A. 3 1976 Two more variations on the triangular theme. Zbl 1062.22021Kirillov, A. A. 3 2003 Infinite-dimensional representations of the total matrix group. Zbl 0119.26804Kirillov, A. A. 3 1962 Algebras of intermediate growth. Zbl 0684.17008Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 2 1983 Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012Kirillov, A. A. 2 1980 Invariant operators over geometric objects. Zbl 0453.53008Kirillov, A. A. 2 1980 Natural differential operations on tensor fields. Zbl 0417.53009Kirillov, A. A. 2 1979 Theory of group representations. Zbl 0205.13301Graev, M. I.; Kirillov, A. A. 2 1968 Identities in the Lie algebra of vector fields on the real line. Zbl 0748.17017Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D. 1 1991 Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033Kirillov, Alexander; Starkov, Victor 1 2015 On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. Zbl 0873.17013Kirillov, A. A. 1 1995 On tangent cones of Schubert varieties. Zbl 1427.14103Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin 1 2017 Induced representations of nilpotent Lie groups. Zbl 0087.02403Kirillov, A. A. 1 1959 Unitary representations of nilpotent Lie groups. Zbl 0104.02902Kirillov, A. A. 1 1961 Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010Kirillov, A. A. 1 2008 Identities in Lie algebras of vector fields. Zbl 0707.17004Kirillov, 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 0581.00006Kirillov, A. A. (ed.) 1 1985 Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002Kirillov, A. A.; Gvishiani, A. D. 1 1983 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007Kirillov, A. A.; Kontsevich, M. L. 1 1983 The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B. 1 1974 Structures of Lie algebra that have the locality property. Zbl 0325.58008Kirillov, A. A. 1 1975 Certain division algebras over a field of rational functions. Zbl 0189.03601Kirillov, A. A. 1 1967 On \(\infty\)-dimensional unitary representations of the group of second- order matrices with elements from a locally compact field. Zbl 0199.46302Kirillov, A. A. 1 1963 Classification of irreducible unitary representations of a group of second-order matrices with elements from a locally compact field. Zbl 0199.46303Kirillov, A. A. 1 1966 Konstruktionen von unitären irreduziblen Darstellungen Liescher Gruppen. Zbl 0249.22011Kirillov, A. A. 1 1970 The orbit method and finite groups. Zbl 1147.22300Kirillov, A. A. 1 2005 The orbit method beyond Lie groups. Infinite-dimensional groups. Zbl 1147.22301Kirillov, A. A. 1 2005 The orbit method beyond Lie groups. Quantum groups. Zbl 1147.17307Kirillov, A. A. 1 2005 La géométrie des moments pour les groupes de difféomorphismes. (The geometry of moments for the diffeomorphism groups). Zbl 0744.22022Kirillov, A. A. 1 1990 On tangent cones of Schubert varieties. Zbl 1427.14103Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin 1 2017 Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033Kirillov, Alexander; Starkov, Victor 1 2015 A tale of two fractals. Zbl 1273.00004Kirillov, A. A. 6 2013 Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002Kirillov, Alexander; Starkov, Victor 3 2013 Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010Kirillov, A. A. 1 2008 The orbit method and finite groups. Zbl 1147.22300Kirillov, A. A. 1 2005 The orbit method beyond Lie groups. Infinite-dimensional groups. Zbl 1147.22301Kirillov, A. A. 1 2005 The orbit method beyond Lie groups. Quantum groups. Zbl 1147.17307Kirillov, A. A. 1 2005 Lectures on the orbit method. Zbl 1229.22003Kirillov, A. A. 130 2004 Two more variations on the triangular theme. Zbl 1062.22021Kirillov, A. A. 3 2003 Introduction to family algebras. Zbl 0981.15013Kirillov, A. A. 10 2001 Index of Lie algebras of seaweed type. Zbl 0980.17001Dergachev, Vladimir; Kirillov, Alexandre 31 2000 Family algebras. Zbl 0946.16019Kirillov, A. A. 4 2000 Merits and demerits of the orbit method. Zbl 0940.22013Kirillov, A. A. 42 1999 Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078Kirillov, A. A. 25 1998 Variations on the triangular theme. Zbl 0840.22015Kirillov, A. A. 24 1995 On a remarkable sequence of polynomials. Zbl 0883.15009Kirillov, 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 0873.17013Kirillov, A. A. 1 1995 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006Gamkrelidze, R. V.; Kirillov, A. A. 4 1994 The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016Kirillov, Aleksandr 9 1993 The orbit method. I: Geometric quantization. Zbl 0935.22015Kirillov, Aleksandr 3 1993 Identities in the Lie algebra of vector fields on the real line. Zbl 0748.17017Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D. 1 1991 Algebras of intermediate growth. Zbl 0705.17013Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 8 1990 Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002Kirillov, 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 0744.22022Kirillov, A. A. 1 1990 Identities in Lie algebras of vector fields. Zbl 0707.17004Kirillov, A. A. 1 1989 Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015Kirillov, 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 0641.46003Kirillov, A. A.; Gvishiani, A. D. 10 1988 Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004Kirillov, A. A. 5 1988 Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005Kirillov, A. A. 4 1988 A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031Kirillov, A. A. 3 1988 Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010Kirillov, A. A. 21 1987 Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007Kirillov, A. A.; Yur’ev, D. V. 19 1987 The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014Kirillov, A. A.; Neretin, Yu. A. 8 1987 Kählerian geometry of the infinite-dimensional homogeneous manifold \(M=Diff_ +(S^ 1)/Rot(S^ 1)\). Zbl 0644.53060Kirillov, A. A.; Yur’ev, D. V. 4 1986 Geometric quantization. Zbl 0780.58024Kirillov, 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 0581.00006Kirillov, A. A. 1 1985 Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007Kirillov, A. A. 6 1984 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0518.17006Kirillov, A. A.; Kontsevich, M. L. 3 1983 Algebras of intermediate growth. Zbl 0684.17008Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 2 1983 Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002Kirillov, A. A.; Gvishiani, A. D. 1 1983 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007Kirillov, A. A.; Kontsevich, M. L. 1 1983 Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002Kirillov, A. A.; Gvishiani, A. D. 24 1982 Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017Kirillov, A. A. 24 1982 Invariant operators on geometric quantities. Zbl 0472.53026Kirillov, A. A. 4 1982 Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003Kirillov, A. A. 24 1981 Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012Kirillov, A. A. 6 1981 Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009Kirillov, A. A. 3 1981 Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012Kirillov, A. A. 2 1980 Invariant operators over geometric objects. Zbl 0453.53008Kirillov, A. A. 2 1980 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002Kirillov, A. A.; Gvishiani, A. D. 20 1979 Natural differential operations on tensor fields. Zbl 0417.53009Kirillov, A. A. 2 1979 Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001Kirillov, A. A. 233 1976 Local Lie algebras. Zbl 0357.58003Kirillov, A. A. 70 1976 Lokale Liealgebren. Zbl 0352.58014Kirillov, A. A. 3 1976 The method of orbits in representation theory. Zbl 0355.22010Kirillov, A. A. 8 1975 Structures of Lie algebra that have the locality property. Zbl 0325.58008Kirillov, A. A. 1 1975 Representations of some infinite-dimensional Lie groups. Zbl 0285.22011Kirillov, A. A. 6 1974 The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B. 1 1974 Representations of an infinite dimensional unitary group. Zbl 0288.22020Kirillov, A. A. 11 1973 Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012Kirillov, A. A. 46 1972 Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011Kirillov, A. A. 8 1972 Konstruktionen von unitären irreduziblen Darstellungen Liescher Gruppen. Zbl 0249.22011Kirillov, A. A. 1 1970 The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007Gel’fand, I. M.; Kirillov, A. A. 20 1969 Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901Kirillov, A. A. 12 1969 Sur les relations entre l’espace dual d’un groups et la structure de ses sous-groupes fermés. Zbl 0214.04602Delaroche, C.; Kirillov, A. 11 1969 The characters of unitary representations of Lie groups. Zbl 0174.45001Kirillov, A. A. 30 1968 Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804Kirillov, A. A. 9 1968 Theory of group representations. Zbl 0205.13301Graev, M. I.; Kirillov, A. A. 2 1968 Dynamical systems, factors and representations of groups. Zbl 0169.46602Kirillov, A. A. 13 1967 Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302Kirillov, A. A. 6 1967 Certain division algebras over a field of rational functions. Zbl 0189.03601Kirillov, A. A. 1 1967 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104Gelfand, I. M.; Kirillov, A. A. 106 1966 Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903Gel’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 0199.46303Kirillov, A. A. 1 1966 Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505Kirillov, A. A. 7 1965 On \(\infty\)-dimensional unitary representations of the group of second- order matrices with elements from a locally compact field. Zbl 0199.46302Kirillov, A. A. 1 1963 Unitary representations of nilpotent Lie groups. Zbl 0106.25001Kirillov, A. A. 175 1962 Infinite-dimensional representations of the total matrix group. Zbl 0119.26804Kirillov, A. A. 3 1962 Unitary representations of nilpotent Lie groups. Zbl 0104.02902Kirillov, A. A. 1 1961 On unitary representations of nilpotent Lie groups. Zbl 0090.09802Kirillov, A. A. 78 1960 Induced representations of nilpotent Lie groups. Zbl 0087.02403Kirillov, A. A. 1 1959 The representations of the groups of rotations of an \(n\)-dimensional Euclidean space by spherical vector fields. Zbl 0080.02205Kirillov, A. A. 5 1957 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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