Edit Profile (opens in new tab) Kirillov, Alexandre Aleksandrovich Compute Distance To: Compute Author ID: 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. more...less Homepage: http://www.math.upenn.edu/~kirillov/ External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 124 Publications since 1957, including 18 Books 15 Contributions as Editor · 3 Further Contributions Biographic References: 5 Publications Co-Authors: 89 Co-Authors with 59 Joint Publications 2,568 Co-Co-Authors 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 all top 5 Fields 54 Topological groups, Lie groups (22-XX) 39 Nonassociative rings and algebras (17-XX) 19 History and biography (01-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 Differential geometry (53-XX) 16 Group theory and generalizations (20-XX) 12 General and overarching topics; collections (00-XX) 11 Algebraic topology (55-XX) 10 Abstract harmonic analysis (43-XX) 9 Functional analysis (46-XX) 9 Operator theory (47-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Manifolds and cell complexes (57-XX) 6 Algebraic geometry (14-XX) 6 Associative rings and algebras (16-XX) 6 General topology (54-XX) 5 Quantum theory (81-XX) 4 Measure and integration (28-XX) 3 Combinatorics (05-XX) 2 Relativity and gravitational theory (83-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 \(K\)-theory (19-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 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 0342.22001Kirillov, A. A. 241 1976 Unitary representations of nilpotent Lie groups. Zbl 0106.25001Kirillov, A. A. 181 1962 Lectures on the orbit method. Zbl 1229.22003Kirillov, A. A. 155 2004 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104Gelfand, 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 0659.58001Berezin, Feliks Aleksandrovich 79 1987 On unitary representations of nilpotent Lie groups. Zbl 0090.09802Kirillov, A. A. 79 1960 Local Lie algebras. Zbl 0357.58003Kirillov, A. A. 76 1976 Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020Berezin, F. A. 75 1983 Merits and demerits of the orbit method. Zbl 0940.22013Kirillov, A. A. 49 1999 Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012Kirillov, 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 0307.22001Steinberg, Robert 45 1975 Index of Lie algebras of seaweed type. Zbl 0980.17001Dergachev, 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 0159.53401Atiyah, Michael F. 30 1967 The characters of unitary representations of Lie groups. Zbl 0174.45001Kirillov, A. A. 30 1968 Variations on the triangular theme. Zbl 0840.22015Kirillov, A. A. 25 1995 Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078Kirillov, A. A. 25 1998 Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002Kirillov, A. A.; Gvishiani, A. D. 24 1982 Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003Kirillov, A. A. 23 1981 Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017Kirillov, A. A. 23 1982 Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015Kirillov, A. A.; Yur’ev, D. V. 22 1988 Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010Kirillov, A. A. 21 1987 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002Kirillov, A. A.; Gvishiani, A. D. 21 1979 Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007Kirillov, A. A.; Yur’ev, D. V. 20 1987 Geometric quantization. Zbl 0780.58024Kirillov, A. A. 20 1985 The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007Gel’fand, I. M.; Kirillov, A. A. 20 1969 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 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. 11 1988 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 Representations of an infinite dimensional unitary group. Zbl 0288.22020Kirillov, A. A. 11 1973 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 10 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 Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002Kirillov, A. A.; Pak, I. M. 8 1990 Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012Kirillov, A. A. 7 1981 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 Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302Kirillov, A. A. 6 1967 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 Invariant operators on geometric quantities. Zbl 0472.53026Kirillov, A. A. 5 1982 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 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 A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031Kirillov, 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 0691.58005Warner, Frank W. 4 1987 The orbit method. I: Geometric quantization. Zbl 0935.22015Kirillov, 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 0946.16019Kirillov, A. A. 4 2000 Two more variations on the triangular theme. Zbl 1062.22021Kirillov, A. A. 4 2003 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 On a remarkable sequence of polynomials. Zbl 0883.15009Kirillov, A. A.; Melnikov, A. 3 1995 Lokale Liealgebren. Zbl 0352.58014Kirillov, A. A. 3 1976 Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002Kirillov, Alexander; Starkov, Victor 3 2013 Infinite-dimensional representations of the total matrix group. Zbl 0119.26804Kirillov, A. A. 3 1962 Invariant operators over geometric objects. Zbl 0453.53008Kirillov, A. A. 2 1980 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007Kirillov, A. A.; Kontsevich, M. L. 2 1983 Algebras of intermediate growth. Zbl 0684.17008Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 2 1983 Natural differential operations on tensor fields. Zbl 0417.53009Kirillov, A. A. 2 1979 Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012Kirillov, A. A. 2 1980 Certain division algebras over a field of rational functions. Zbl 0189.03601Kirillov, A. A. 2 1967 Theory of group representations. Zbl 0205.13301Graev, 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 0465.01008Bogolyubov, 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 0516.46002Kirillov, A. A.; Gvishiani, A. D. 1 1983 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 Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010Kirillov, 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 0675.55002Bott, 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 0662.01018Gelfand, Izrail M. 1 1989 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 Structures of Lie algebra that have the locality property. Zbl 0325.58008Kirillov, A. A. 1 1975 On tangent cones of Schubert varieties. Zbl 1427.14103Fuchs, 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 0199.46302Kirillov, 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 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 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 the Lie algebra of vector fields on the real line. Zbl 0748.17017Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D. 1 1991 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 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. 155 2004 Two more variations on the triangular theme. Zbl 1062.22021Kirillov, A. A. 4 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 34 2000 Family algebras. Zbl 0946.16019Kirillov, A. A. 4 2000 Merits and demerits of the orbit method. Zbl 0940.22013Kirillov, A. A. 49 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. 25 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 0805.00006 4 1994 The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016Kirillov, Aleksandr 10 1993 The orbit method. I: Geometric quantization. Zbl 0935.22015Kirillov, Aleksandr 4 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. 8 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 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 0675.55002Bott, 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 0662.01018Gelfand, Izrail M. 1 1989 Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015Kirillov, 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 0641.46003Kirillov, A. A.; Gvishiani, A. D. 11 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. 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 0659.58001Berezin, Feliks Aleksandrovich 79 1987 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. 20 1987 The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014Kirillov, 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 0691.58005Warner, Frank W. 4 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. 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 0551.20007Kirillov, A. A. 6 1984 Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020Berezin, F. A. 75 1983 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 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007Kirillov, A. A.; Kontsevich, M. L. 2 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 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. 23 1982 Invariant operators on geometric quantities. Zbl 0472.53026Kirillov, A. A. 5 1982 Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003Kirillov, A. A. 23 1981 Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012Kirillov, A. A. 7 1981 Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009Kirillov, A. A. 3 1981 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008Bogolyubov, 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 0453.53008Kirillov, A. A. 2 1980 Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012Kirillov, 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. 21 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. 241 1976 Local Lie algebras. Zbl 0357.58003Kirillov, A. A. 76 1976 Lokale Liealgebren. Zbl 0352.58014Kirillov, 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 0307.22001Steinberg, Robert 45 1975 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. 45 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 \(K\)-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 0159.53401Atiyah, Michael F. 30 1967 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. 2 1967 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104Gelfand, I. M.; Kirillov, A. A. 110 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. 181 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. 79 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 1,364 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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