Edit Profile (opens in new tab) Kirillov, Alexandre Aleksandrovich Co-Author Distance 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: 135 Publications since 1957, including 18 Books and 11 Additional arXiv Preprints 15 Contributions as Editor · 4 Further Contributions Biographic References: 5 Publications Co-Authors: 87 Co-Authors with 59 Joint Publications 2,755 Co-Co-Authors all top 5 Co-Authors 78 single-authored 13 Gel’fand, Israil’ Moiseevich 8 Gindikin, Simon Grigorevich 5 Gvishiani, Alekseĭ Dzhermenovich 5 Konstantinov, Nikolaĭ Nikolaevich 5 Molev, Alexander I. 5 Neretin, Yuriĭ Aleksandrovich 4 Bogolyubov, Nikolaĭ Nikolaevich 4 Fuchs, Dmitry Borisovich 4 Gamkrelidze, Revaz Valerianovich 4 Gel’fand, Sergeĭ Izrail’evich 4 Gerver, M. L. 4 Kontsevich, Maxim 4 Kushnirenko, A. G. 4 Sinaĭ, Yakov Grigor’evich 3 Faddeev, Lyudvig Dmitrievich 3 Guillemin, Victor W. 3 Kostant, Bertram 3 Leites, Dimitry A. 3 Molchanov, Vladimir Fedorovich 3 Novikov, Sergeĭ Petrovich 3 Ovsienko, Valentin Yu. 3 Sternberg, Shlomo 3 Vershik, Anatoliĭ Moiseevich 3 Yur’ev, Denis Valer’evich 2 Balsam, Benjamin 2 Berezin, Feliks Aleksandrovich 2 Dobrushin, Roland L’vovich 2 Fialowski, Alice 2 Glagoleva, E. G. 2 Graev, Mark Iosifovich 2 Ilyashenko, Yulij Sergeevich 2 Kolmogorov, Andreĭ Nikolaevich 2 Kreĭn, Mark Grigor’evich 2 Minlos, Robert Adol’fovich 2 Okun’kov, Andreĭ Yur’evich 2 Ol’shanskiĭ, Grigoriĭ Iosifovich 2 Segal, Graeme B. 2 Shubin, Mikhail Aleksandrovich 2 Starkov, Victor V. 2 Thind, Jaimal 2 Tikhomirov, Vladimir Mikhaĭlovich 1 Anantharaman-Delaroche, Claire 1 Anderson, Donald W. 1 Arlazarov, Vladimir L’vovich 1 Arnol’d, Vladimir Igorevich 1 Atiyah, Michael Francis 1 Borodin, Alexei 1 Bott, Raoul Harry 1 Bourbaki, Nicolas 1 Bufetov, Aleksandr Igorevich 1 Bufetov, Alekseĭ Igor’evich 1 Bukhshtaber, Viktor Matveevich 1 Cherkassky, Boris V. 1 Chernavskiĭ, Alekseĭ Viktorovich 1 Cohn, Leslie 1 Crew, Logan 1 Dergachev, Vladimir 1 Dinitz, E. A. 1 Faradzhev, Igor Aleksandrovich 1 Fomin, Sergey Vladimirovich 1 Fuchs, Ekaterina 1 Fuchs, Elena D. 1 Gani, Vakhid A. 1 Glagolevova, J. G. 1 Gordin, Mikhail Iosifovich 1 Gorin, V. E. 1 Gussein-Zade, S. 1 Ibragimov, Il’dar Abdullovich 1 Ismagilov, Rais Sal’manovich 1 Kaimanovich, Vadim A. 1 Karpelevich, Friedrich I. 1 Karpenko, S. M. 1 Karpenkov, Oleg Nikolaevich 1 Karzanov, Aleksandr V. 1 Khesin, Boris A. 1 Khokhlov, Andreĭ Vladimirovich 1 Khoroshkin, Sergey M. 1 Khovanskiĭ, Askold Georgievich 1 Kotecký, Roman 1 Kronrod, M. A. 1 Kuiper, Nicolaas Hendrik 1 Kuznetsov, Oleg P. 1 Lando, Sergei K. 1 Litvinov, Grigory Lazarevich 1 Lodkin, A. A. 1 Malikov, Fyodor 1 McFaden, Harold 1 Morier-Genoud, Sophie 1 Nazarov, Maxim Leonidovich 1 Nessonov, Nikolai I. 1 Niederle, Jiri 1 Okun, Lev B. 1 Pak, Igor 1 Palamodov, Victor Pavlovitch 1 Petrov, Fedor Vladimirovich 1 Petrov, Leonid 1 Pevzner, Michael 1 Pevzner, Pavel A. 1 Prince, Tanvir 1 Retakh, Vladimir Solomonovich ...and 21 more Co-Authors 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 56 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) 8 Manifolds and cell complexes (57-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Associative rings and algebras (16-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Algebraic geometry (14-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) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 94 Publications have been cited 1,778 times in 1,524 Documents Cited by ▼ Year ▼ Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001 Kirillov, A. A. 289 1976 Lectures on the orbit method. Zbl 1229.22003 Kirillov, A. A. 213 2004 Unitary representations of nilpotent Lie groups. Zbl 0106.25001 Kirillov, A. A. 202 1962 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104 Gelfand, I. M.; Kirillov, A. A. 114 1966 Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001 Berezin, Feliks Aleksandrovich 99 1987 Local Lie algebras. Zbl 0357.58003 Kirillov, A. A. 92 1976 On unitary representations of nilpotent Lie groups. Zbl 0090.09802 Kirillov, A. A. 86 1960 Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020 Berezin, F. A. 85 1983 Merits and demerits of the orbit method. Zbl 0940.22013 Kirillov, A. A. 61 1999 Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. (Лекции о группах Шевалле.) Zbl 0307.22001 Steinberg, Robert 48 1975 Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012 Kirillov, A. A. 45 1972 Index of Lie algebras of seaweed type. Zbl 0980.17001 Dergachev, Vladimir; Kirillov, Alexandre 43 2000 The characters of unitary representations of Lie groups. Zbl 0174.45001 Kirillov, A. A. 33 1968 Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017 Kirillov, A. A. 31 1982 \(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401 Atiyah, Michael F. 31 1967 Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010 Kirillov, A. A. 28 1987 Variations on the triangular theme. Zbl 0840.22015 Kirillov, A. A. 28 1995 Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007 Kirillov, A. A.; Yur’ev, D. V. 27 1987 Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002 Kirillov, A. A.; Gvishiani, A. D. 27 1982 Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003 Kirillov, A. A. 27 1981 Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078 Kirillov, A. A. 25 1998 Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015 Kirillov, A. A.; Yur’ev, D. V. 24 1988 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002 Kirillov, A. A.; Gvishiani, A. D. 23 1979 The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007 Gel’fand, I. M.; Kirillov, A. A. 21 1969 Geometric quantization. Zbl 0780.58024 Kirillov, A. A. 20 1985 Dynamical systems, factors and representations of groups. Zbl 0169.46602 Kirillov, A. A. 17 1967 The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014 Kirillov, A. A.; Neretin, Yu. A. 15 1987 Introduction to family algebras. Zbl 0981.15013 Kirillov, A. A. 13 2001 Sur les relations entre l’espace dual d’un groups et la structure de ses sous-groupes fermés. Zbl 0214.04602 Delaroche, C.; Kirillov, A. 13 1969 Representations of an infinite dimensional unitary group. Zbl 0288.22020 Kirillov, A. A. 13 1973 Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901 Kirillov, A. A. 13 1969 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). 2nd ed., rev. and compl. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie.) Zbl 0641.46003 Kirillov, A. A.; Gvishiani, A. D. 12 1988 Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804 Kirillov, A. A. 11 1968 Lokale Liealgebren. Zbl 0352.58014 Kirillov, A. A. 10 1976 The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016 Kirillov, Aleksandr 10 1993 Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011 Kirillov, A. A. 9 1972 Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002 Kirillov, A. A.; Pak, I. M. 9 1990 Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012 Kirillov, A. A. 9 1981 Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505 Kirillov, A. A. 8 1965 Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903 Gel’fand, I. M.; Kirillov, A. A. 8 1966 The method of orbits in representation theory. Zbl 0355.22010 Kirillov, A. A. 8 1975 Algebras of intermediate growth. Zbl 0705.17013 Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 8 1990 Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007 Kirillov, A. A. 7 1984 Invariant operators on geometric quantities. Zbl 0472.53026 Kirillov, A. A. 7 1982 Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302 Kirillov, A. A. 7 1967 Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004 Kirillov, A. A. 7 1988 A tale of two fractals. Zbl 1273.00004 Kirillov, A. A. 7 2013 Family algebras. Zbl 0946.16019 Kirillov, A. A. 6 2000 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006 6 1994 Representations of some infinite-dimensional Lie groups. Zbl 0285.22011 Kirillov, A. A. 6 1974 Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005 Kirillov, A. A. 5 1988 A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031 Kirillov, A. A. 5 1988 The representations of the groups of rotations of an \(n\)-dimensional Euclidean space by spherical vector fields. Zbl 0080.02205 Kirillov, A. A. 5 1957 Kählerian geometry of the infinite-dimensional homogeneous manifold \(M= \operatorname{Diff}_ +(S^1)/\operatorname{Rot}(S^1)\). Zbl 0644.53060 Kirillov, A. A.; Yur’ev, D. V. 4 1986 Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) Zbl 0691.58005 Warner, Frank W. 4 1987 Two more variations on the triangular theme. Zbl 1062.22021 Kirillov, A. A. 4 2003 On a remarkable sequence of polynomials. Zbl 0883.15009 Kirillov, A. A.; Melnikov, A. 4 1995 The orbit method. I: Geometric quantization. Zbl 0935.22015 Kirillov, Aleksandr 4 1993 Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009 Kirillov, A. A. 3 1981 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0518.17006 Kirillov, A. A.; Kontsevich, M. L. 3 1983 Infinite-dimensional representations of the total matrix group. Zbl 0119.26804 Kirillov, A. A. 3 1962 Classical transitions with the topological number changing in the early universe. Zbl 07458878 Gani, Vakhid A.; Kirillov, Alexander A.; Rubin, Sergey G. 3 2018 Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002 Kirillov, Alexander; Starkov, Victor 3 2013 Algebras of intermediate growth. Zbl 0684.17008 Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 2 1983 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007 Kirillov, A. A.; Kontsevich, M. L. 2 1983 Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006 2 1995 On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. Zbl 0873.17013 Kirillov, A. A. 2 1995 The orbit method and finite groups. Zbl 1147.22300 Kirillov, A. A. 2 2005 Unitary representations of nilpotent Lie groups. Zbl 0104.02902 Kirillov, A. A. 2 1961 Certain division algebras over a field of rational functions. Zbl 0189.03601 Kirillov, A. A. 2 1967 Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010 Kirillov, A. A. 2 2008 Natural differential operations on tensor fields. Zbl 0417.53009 Kirillov, A. A. 2 1979 Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012 Kirillov, A. A. 2 1980 Invariant operators over geometric objects. Zbl 0453.53008 Kirillov, A. A. 2 1980 On \(\infty\)-dimensional unitary representations of the group of second- order matrices with elements from a locally compact field. Zbl 0199.46302 Kirillov, A. A. 2 1963 Theory of group representations. Zbl 0205.13301 Graev, M. I.; Kirillov, A. A. 2 1968 Collected papers. Volume II. Ed. by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg. Zbl 0655.22012 Gelfand, Izrail M. 1 1988 Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002 Kirillov, A. A.; Gvishiani, A. D. 1 1983 On tangent cones of Schubert varieties. Zbl 1427.14103 Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin 1 2017 The orbit method beyond Lie groups. Infinite-dimensional groups. Zbl 1147.22301 Kirillov, A. A. 1 2005 The orbit method beyond Lie groups. Quantum groups. Zbl 1147.17307 Kirillov, A. A. 1 2005 Induced representations of nilpotent Lie groups. Zbl 0087.02403 Kirillov, A. A. 1 1959 On the structure of the field of quotients of the enveloping algebra of a semisimple Lie algebra. Zbl 0244.17006 Gel’fand, I. M.; Kirillov, A. A. 1 1968 Konstruktionen von unitären irreduziblen Darstellungen Liescher Gruppen. Zbl 0249.22011 Kirillov, A. A. 1 1970 The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031 Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B. 1 1974 Structures of Lie algebra that have the locality property. Zbl 0325.58008 Kirillov, A. A. 1 1975 Representations of Lie groups and Lie algebras. (Proceedings of the Summer School on Representation Theory, organized by the Bolyai János Mathematical Society at Budapest 1971. Part 2). Zbl 0581.00006 1 1985 La géométrie des moments pour les groupes de difféomorphismes. (The geometry of moments for the diffeomorphism groups). Zbl 0744.22022 Kirillov, A. A. 1 1990 Identities in the Lie algebra of vector fields on the real line. Zbl 0748.17017 Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D. 1 1991 Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002 Bott, Raoul; Tu, Loring W. 1 1989 Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018 Gelfand, Izrail M. 1 1989 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008 Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A. 1 1981 Classification of irreducible unitary representations of a group of second-order matrices with elements from a locally compact field. Zbl 0199.46303 Kirillov, A. A. 1 1966 Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033 Kirillov, Alexander; Starkov, Victor 1 2015 Classical transitions with the topological number changing in the early universe. Zbl 07458878 Gani, Vakhid A.; Kirillov, Alexander A.; Rubin, Sergey G. 3 2018 On tangent cones of Schubert varieties. Zbl 1427.14103 Fuchs, Dmitry; Kirillov, Alexandre; Morier-Genoud, Sophie; Ovsienko, Valentin 1 2017 Fixed points of infinitely connected domain continuous mappings. Zbl 1314.54033 Kirillov, Alexander; Starkov, Victor 1 2015 A tale of two fractals. Zbl 1273.00004 Kirillov, A. A. 7 2013 Some extensions of the Poincaré-Birkhoff theorem. Zbl 1284.55002 Kirillov, Alexander; Starkov, Victor 3 2013 Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type \(B_n\). Zbl 1213.17010 Kirillov, A. A. 2 2008 The orbit method and finite groups. Zbl 1147.22300 Kirillov, A. A. 2 2005 The orbit method beyond Lie groups. Infinite-dimensional groups. Zbl 1147.22301 Kirillov, A. A. 1 2005 The orbit method beyond Lie groups. Quantum groups. Zbl 1147.17307 Kirillov, A. A. 1 2005 Lectures on the orbit method. Zbl 1229.22003 Kirillov, A. A. 213 2004 Two more variations on the triangular theme. Zbl 1062.22021 Kirillov, A. A. 4 2003 Introduction to family algebras. Zbl 0981.15013 Kirillov, A. A. 13 2001 Index of Lie algebras of seaweed type. Zbl 0980.17001 Dergachev, Vladimir; Kirillov, Alexandre 43 2000 Family algebras. Zbl 0946.16019 Kirillov, A. A. 6 2000 Merits and demerits of the orbit method. Zbl 0940.22013 Kirillov, A. A. 61 1999 Geometric approach to discrete series of unirreps for Vir. Zbl 0922.58078 Kirillov, A. A. 25 1998 Variations on the triangular theme. Zbl 0840.22015 Kirillov, A. A. 28 1995 On a remarkable sequence of polynomials. Zbl 0883.15009 Kirillov, A. A.; Melnikov, A. 4 1995 Representation theory and noncommutative harmonic analysis II. Homogeneous spaces, representations and special functions. Transl. from the Russian by G. van Dijk, A. U. Klimyk, V. F. Molchanov and S. Z. Pakuliak. Zbl 0819.00006 2 1995 On the number of solutions to the equation \(X^ 2=0\) in triangular matrices over a finite field. Zbl 0873.17013 Kirillov, A. A. 2 1995 Representation theory and noncommutative harmonic analysis I: Fundamental concepts. Representations of Virasoro and affine algebras. Transl. from the Russian. Zbl 0805.00006 6 1994 The orbit method. II: Infinite-dimensional Lie groups and Lie algebras. Zbl 0935.22016 Kirillov, Aleksandr 10 1993 The orbit method. I: Geometric quantization. Zbl 0935.22015 Kirillov, Aleksandr 4 1993 Identities in the Lie algebra of vector fields on the real line. Zbl 0748.17017 Kirillov, A. A.; Ovsienko, V. Yu.; Udalova, O. D. 1 1991 Covariants of the symmetric group and its analogs in Weyl algebras. Zbl 0821.20002 Kirillov, A. A.; Pak, I. M. 9 1990 Algebras of intermediate growth. Zbl 0705.17013 Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 8 1990 La géométrie des moments pour les groupes de difféomorphismes. (The geometry of moments for the diffeomorphism groups). Zbl 0744.22022 Kirillov, A. A. 1 1990 Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002 Bott, Raoul; Tu, Loring W. 1 1989 Collected papers. Volume III. Edited by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant and S. Sternberg. Zbl 0662.01018 Gelfand, Izrail M. 1 1989 Representations of the Virasoro algebra by the orbit method. Zbl 0698.17015 Kirillov, A. A.; Yur’ev, D. V. 24 1988 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). 2nd ed., rev. and compl. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie.) Zbl 0641.46003 Kirillov, A. A.; Gvishiani, A. D. 12 1988 Introduction to the theory of representations and noncommutative harmonic analysis. Zbl 0805.43004 Kirillov, A. A. 7 1988 Introduction to the theory of representations and non-commutative harmonic analysis. Zbl 0656.43005 Kirillov, A. A. 5 1988 A remark on the Gelfand-Tsetlin patterns for symplectic groups. Zbl 0691.20031 Kirillov, A. A. 5 1988 Collected papers. Volume II. Ed. by S. G. Gindikin, V. W. Guillemin, A. A. Kirillov, B. Kostant, S. Sternberg. Zbl 0655.22012 Gelfand, Izrail M. 1 1988 Introduction to superanalysis. Ed. by A. A. Kirillov. Transl. from the Russian by J. Niederle and R. Kotecký, ed. and rev. by Dimitri Leites. Zbl 0659.58001 Berezin, Feliks Aleksandrovich 99 1987 Kähler structures on K-orbits of the group of diffeomorphisms of the circle. Zbl 0647.58010 Kirillov, A. A. 28 1987 Kähler geometry of the infinite-dimensional homogeneous space \(M=Diff_+(S^ 1)/Rot(S^ 1)\). Zbl 0671.58007 Kirillov, A. A.; Yur’ev, D. V. 27 1987 The variety \(A_ n\) of \(n\)-dimensional Lie algebra structures. Zbl 0646.17014 Kirillov, A. A.; Neretin, Yu. A. 15 1987 Foundations of differentiable manifolds and Lie groups. (Osnovy teorii gladkikh mnogoobrazij i grupp Li). Transl. from the English by F. F. Voronov and A. V. Khokhlov. Transl. ed. and with a preface by A. A. Kirillov. (Osnovy teorii gladkikh mnogoobrazij i grupp Li.) Zbl 0691.58005 Warner, Frank W. 4 1987 Kählerian geometry of the infinite-dimensional homogeneous manifold \(M= \operatorname{Diff}_ +(S^1)/\operatorname{Rot}(S^1)\). Zbl 0644.53060 Kirillov, A. A.; Yur’ev, D. V. 4 1986 Geometric quantization. Zbl 0780.58024 Kirillov, A. A. 20 1985 Representations of Lie groups and Lie algebras. (Proceedings of the Summer School on Representation Theory, organized by the Bolyai János Mathematical Society at Budapest 1971. Part 2). Zbl 0581.00006 1 1985 Polynomial covariants of the symmetric group and some of its analogues. Zbl 0551.20007 Kirillov, A. A. 7 1984 Introduction to algebra and analysis with anti-commuting variables. (Введение в алгебру и анализ с антикоммутирующими переменными.) Zbl 0527.15020 Berezin, F. A. 85 1983 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0518.17006 Kirillov, A. A.; Kontsevich, M. L. 3 1983 Algebras of intermediate growth. Zbl 0684.17008 Kirillov, A. A.; Kontsevich, M. L.; Molev, A. I. 2 1983 The growth of a Lie algebra generated by two generic vector fields on a straight line. Zbl 0526.17007 Kirillov, A. A.; Kontsevich, M. L. 2 1983 Teoremi e problemi dell’analisi funzionale. Traduzione dal russo di Ernest Koslov. Zbl 0516.46002 Kirillov, A. A.; Gvishiani, A. D. 1 1983 Infinite dimensional Lie groups: their orbits, invariants and representations. The geometry of moments. Zbl 0498.22017 Kirillov, A. A. 31 1982 Theorems and problems in functional analysis. Transl. from the Russian by Harold H. McFaden. Zbl 0486.46002 Kirillov, A. A.; Gvishiani, A. D. 27 1982 Invariant operators on geometric quantities. Zbl 0472.53026 Kirillov, A. A. 7 1982 Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0474.58003 Kirillov, A. A. 27 1981 Oribts of a group of diffeomorphisms of a circle and local Lie superalgebras. Zbl 0466.58012 Kirillov, A. A. 9 1981 Unitary representations of the group of diffeomorphisms and of some of its subgroups. Zbl 0515.58009 Kirillov, A. A. 3 1981 Feliks Aleksandrovich Berezin. Obituary. Zbl 0465.01008 Bogolyubov, N. N.; Gel’fand, I. M.; Dobrushin, R. L.; Kirillov, A. A.; Krein, M. G.; Leites, D. A.; Minlos, R. A.; Sinai, Ya. G.; Shubin, M. A. 1 1981 Infinite dimensional groups, their representations, orbits, invariants. Zbl 0427.22012 Kirillov, A. A. 2 1980 Invariant operators over geometric objects. Zbl 0453.53008 Kirillov, A. A. 2 1980 Theorems and problems of functional analysis. Textbook. (Teoremy i zadachi funktsional’nogo analiza. Uchebnoe posobie). Zbl 0481.46002 Kirillov, A. A.; Gvishiani, A. D. 23 1979 Natural differential operations on tensor fields. Zbl 0417.53009 Kirillov, A. A. 2 1979 Elements of the theory of representations. Translated from the Russian by Edwin Hewitt. Zbl 0342.22001 Kirillov, A. A. 289 1976 Local Lie algebras. Zbl 0357.58003 Kirillov, A. A. 92 1976 Lokale Liealgebren. Zbl 0352.58014 Kirillov, A. A. 10 1976 Lectures on Chevalley groups. Translated from the English by I. N. Bernshteĭn und N. N. Yakovlev. Edited by A. A. Kirillov. (Лекции о группах Шевалле.) Zbl 0307.22001 Steinberg, Robert 48 1975 The method of orbits in representation theory. Zbl 0355.22010 Kirillov, A. A. 8 1975 Structures of Lie algebra that have the locality property. Zbl 0325.58008 Kirillov, A. A. 1 1975 Representations of some infinite-dimensional Lie groups. Zbl 0285.22011 Kirillov, A. A. 6 1974 The work of I. M. Gel’fand on functional analysis, algebra, and topology. Zbl 0294.01031 Gindikin, S. G.; Kirillov, A. A.; Fuks, D. B. 1 1974 Representations of an infinite dimensional unitary group. Zbl 0288.22020 Kirillov, A. A. 13 1973 Construction of unitary irreducible representations of Lie groups. Zbl 0249.22012 Kirillov, A. A. 45 1972 Elemente der Darstellungstheorie. (Elementy teorii predstavlenii.). Zbl 0264.22011 Kirillov, A. A. 9 1972 Konstruktionen von unitären irreduziblen Darstellungen Liescher Gruppen. Zbl 0249.22011 Kirillov, A. A. 1 1970 The structure of the Lie field connected with a split semisimple Lie algebra. Zbl 0244.17007 Gel’fand, I. M.; Kirillov, A. A. 21 1969 Sur les relations entre l’espace dual d’un groups et la structure de ses sous-groupes fermés. Zbl 0214.04602 Delaroche, C.; Kirillov, A. 13 1969 Characters of the unitary representations of Lie groups: reduction theorems. Zbl 0194.33901 Kirillov, A. A. 13 1969 The characters of unitary representations of Lie groups. Zbl 0174.45001 Kirillov, A. A. 33 1968 Method of orbits in the theory of unitary representations of Lie groups. Zbl 0194.33804 Kirillov, A. A. 11 1968 Theory of group representations. Zbl 0205.13301 Graev, M. I.; Kirillov, A. A. 2 1968 On the structure of the field of quotients of the enveloping algebra of a semisimple Lie algebra. Zbl 0244.17006 Gel’fand, I. M.; Kirillov, A. A. 1 1968 \(K\)-theory. Lecture notes by D. W. Anderson. Translation from the English by V. M. Bukhshtaber, V. N. Reshetnikov und D. B. Fuks. Edited by A. A. Kirillov. (Лекции по \(К\)-теории.) Zbl 0159.53401 Atiyah, Michael F. 31 1967 Dynamical systems, factors and representations of groups. Zbl 0169.46602 Kirillov, A. A. 17 1967 Plancherel measure for n ilpotent Lie groups. Zbl 0176.30302 Kirillov, A. A. 7 1967 Certain division algebras over a field of rational functions. Zbl 0189.03601 Kirillov, A. A. 2 1967 Sur les corps liés aux algèbres enveloppantes des algèbres de Lie. Zbl 0144.02104 Gelfand, I. M.; Kirillov, A. A. 114 1966 Fields associated with enveloping algebras of Lie algebras. Zbl 0149.02903 Gel’fand, I. M.; Kirillov, A. A. 8 1966 Classification of irreducible unitary representations of a group of second-order matrices with elements from a locally compact field. Zbl 0199.46303 Kirillov, A. A. 1 1966 Positive definite functions on a group of matrices with elements from a discrete field. Zbl 0133.37505 Kirillov, A. A. 8 1965 On \(\infty\)-dimensional unitary representations of the group of second- order matrices with elements from a locally compact field. Zbl 0199.46302 Kirillov, A. A. 2 1963 Unitary representations of nilpotent Lie groups. Zbl 0106.25001 Kirillov, A. A. 202 1962 Infinite-dimensional representations of the total matrix group. Zbl 0119.26804 Kirillov, A. A. 3 1962 Unitary representations of nilpotent Lie groups. Zbl 0104.02902 Kirillov, A. A. 2 1961 On unitary representations of nilpotent Lie groups. Zbl 0090.09802 Kirillov, A. A. 86 1960 Induced representations of nilpotent Lie groups. Zbl 0087.02403 Kirillov, A. A. 1 1959 The representations of the groups of rotations of an \(n\)-dimensional Euclidean space by spherical vector fields. Zbl 0080.02205 Kirillov, A. A. 5 1957 all cited Publications top 5 cited Publications all top 5 Cited by 1,632 Authors 19 Kirillov, Alexandre Aleksandrovich 16 Guha, Partha 16 Joseph, Anthony 16 Kisil, Vladimir V. 13 Airault, Hélène 13 Alekseev, Anton Yur’evich 13 Neretin, Yuriĭ Aleksandrovich 13 Yur’ev, Denis Valer’evich 12 Corwin, Lawrence J. 11 Cahen, Benjamin 11 Coll, Vincent E. jun. 11 Ludwig, Jean 11 Ovsienko, Valentin Yu. 10 de León Rodríguez, Manuel 10 Ignatev, Mikhail V. 10 Ooms, Alfons I. 10 Panov, Aleksandr Nikolaevich 9 Grabowski, Janusz 9 Marrero, Juan Carlos 9 Mayers, Nicholas W. 9 Vasilev, Alexander 8 Bekka, Mohammed el Bachir 8 Beltiţă, Daniel 8 Greenleaf, Frederick P. 8 Marmo, Giuseppe 8 Oblak, Blagoje 7 Karasev, Mikhail Vladimirovich 7 Ol’shanskiĭ, Grigoriĭ Iosifovich 7 Sachkov, Yuriĭ Leonidovich 6 Khesin, Boris A. 6 Makar-Limanov, Leonid G. 6 Nourrigat, Jean Francois 6 Padrón, Edith 6 Perelomov, Askold M. 6 Petrogradsky, Victor Mikhaylovich 6 Pukánszky, Lajos 6 Russoniello, Nicholas V. 6 Wolf, Joseph Albert 5 Alev, Jacques 5 Beltiţă, Ingrid 5 Freidel, Laurent 5 Gaeta, Giuseppe 5 Guerrero, Julio 5 Jenkins, Joe W. 5 Khalgui, Mohamed Salah 5 Lipsman, Ronald L. 5 Malliavin, Paul 5 Ratcliff, Gail 5 Rezaei-Aghdam, Adel 5 Rothschild, Linda Preiss 5 Sardón, Cristina 5 Shatashvili, Samson L. 4 Aldaya, Victor 4 Ali, Syed Twareque 4 André, Carlos Alberto Martins 4 Arnal, Didier 4 Barnich, Glenn 4 Berndt, Rolf 4 Borho, Walter 4 Bravetti, Alessandro 4 Burić, Ilija 4 Calixto, Manuel 4 Chowdhury, S. Hasibul Hassan 4 del Olmo, Mariano A. 4 Duflo, Michel 4 Ercolessi, Elisa 4 Etingof, Pavel Il’ich 4 Frenkel, Igor B. 4 Futorny, Vyacheslav M. 4 Grabowska, Katarzyna 4 Karamzin, Dmitry Yu. 4 Kosiński, Piotr 4 Leites, Dimitry A. 4 Lukatskij, Aleksandr Mikhailovich 4 Markina, Irina 4 Marquette, Ian 4 Marsden, Jerrold Eldon 4 Maślanka, Paweł 4 Molitor-Braun, Carine 4 Nasrin, Salma 4 Neeb, Karl-Hermann 4 Nien, Chufeng 4 Odzijewicz, Anatol 4 Panyushev, Dmitri Ivanovich 4 Penna, Robert F. 4 Penney, Richard C. 4 Ratiu, Tudor Stefan 4 Richardson, Leonard Frederick 4 Schippers, Eric D. 4 Schmüdgen, Konrad 4 Sergeev, Armen Glebovich 4 Staubach, Wolfgang 4 Teo, Lee-Peng 4 Tortorella, Alfonso Giuseppe 4 Vergne, Michèle 4 Zhang, James J. 4 Zucchini, Roberto 3 Ageev, Oleg N. 3 Alvarez, María Alejandra 3 Amirzadeh-Fard, H. ...and 1,532 more Authors all top 5 Cited in 274 Serials 78 Journal of Geometry and Physics 63 Journal of Functional Analysis 59 Journal of Algebra 57 Journal of Mathematical Physics 54 Communications in Mathematical Physics 52 Functional Analysis and its Applications 52 Journal of High Energy Physics 39 Transactions of the American Mathematical Society 34 Journal of Mathematical Sciences (New York) 29 Letters in Mathematical Physics 24 Inventiones Mathematicae 24 Mathematische Annalen 24 Journal of Physics A: Mathematical and Theoretical 23 Advances in Mathematics 22 Proceedings of the American Mathematical Society 21 Theoretical and Mathematical Physics 20 Annales de l’Institut Fourier 19 Reports on Mathematical Physics 19 Journal of Soviet Mathematics 18 Communications in Algebra 18 Mathematical Notes 18 Mathematische Zeitschrift 16 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 15 Nuclear Physics. B 15 Differential Geometry and its Applications 14 Bulletin de la Société Mathématique de France 13 Israel Journal of Mathematics 13 Compositio Mathematica 13 Algebras and Representation Theory 12 Duke Mathematical Journal 12 Bulletin des Sciences Mathématiques 12 Transformation Groups 12 International Journal of Geometric Methods in Modern Physics 12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 11 International Journal of Theoretical Physics 11 Bulletin of the American Mathematical Society. New Series 11 Representation Theory 10 Physica D 10 Journal of Lie Theory 9 Acta Applicandae Mathematicae 9 Annals of Global Analysis and Geometry 9 Selecta Mathematica. New Series 8 Journal of Mathematical Analysis and Applications 8 Journal of Pure and Applied Algebra 7 Physics Letters. B 7 Reviews in Mathematical Physics 7 Monatshefte für Mathematik 7 Doklady Mathematics 7 Analysis and Mathematical Physics 6 Linear and Multilinear Algebra 6 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 6 Linear Algebra and its Applications 6 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Ukrainian Mathematical Journal 5 International Journal of Mathematics 5 The Journal of Geometric Analysis 5 Geometric and Functional Analysis. GAFA 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 St. Petersburg Mathematical Journal 5 The Journal of Fourier Analysis and Applications 5 Annales Henri Poincaré 5 Journal of Algebra and its Applications 4 Classical and Quantum Gravity 4 Journal d’Analyse Mathématique 4 Physics Reports 4 Bulletin of the London Mathematical Society 4 Journal of Differential Equations 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 Ergodic Theory and Dynamical Systems 4 Journal of the American Mathematical Society 4 Forum Mathematicum 4 Annals of Physics 4 Automation and Remote Control 4 The Electronic Journal of Combinatorics 4 Sbornik: Mathematics 4 Journal of Nonlinear Mathematical Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Foundations of Physics 4 Bulletin of the American Mathematical Society 4 Proceedings of the Steklov Institute of Mathematics 4 Journal of Geometric Mechanics 3 Journal of Statistical Physics 3 Russian Mathematical Surveys 3 Arkiv för Matematik 3 Acta Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Integral Equations and Operator Theory 3 Journal of Combinatorial Theory. Series A 3 Mathematische Nachrichten 3 Siberian Mathematical Journal 3 International Journal of Algebra and Computation 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 3 Cybernetics and Systems Analysis 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Algebraic Combinatorics 3 Potential Analysis 3 Russian Journal of Mathematical Physics 3 Applied and Computational Harmonic Analysis 3 Discrete and Continuous Dynamical Systems ...and 174 more Serials all top 5 Cited in 59 Fields 481 Topological groups, Lie groups (22-XX) 399 Nonassociative rings and algebras (17-XX) 324 Differential geometry (53-XX) 322 Quantum theory (81-XX) 184 Global analysis, analysis on manifolds (58-XX) 173 Dynamical systems and ergodic theory (37-XX) 131 Abstract harmonic analysis (43-XX) 129 Group theory and generalizations (20-XX) 126 Associative rings and algebras (16-XX) 115 Partial differential equations (35-XX) 102 Functional analysis (46-XX) 76 Mechanics of particles and systems (70-XX) 68 Algebraic geometry (14-XX) 63 Operator theory (47-XX) 52 Several complex variables and analytic spaces (32-XX) 52 Relativity and gravitational theory (83-XX) 47 Combinatorics (05-XX) 47 Probability theory and stochastic processes (60-XX) 44 Functions of a complex variable (30-XX) 42 Manifolds and cell complexes (57-XX) 34 Number theory (11-XX) 32 Ordinary differential equations (34-XX) 24 Measure and integration (28-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 21 Fluid mechanics (76-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 14 Commutative algebra (13-XX) 14 Systems theory; control (93-XX) 13 Category theory; homological algebra (18-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Algebraic topology (55-XX) 12 Special functions (33-XX) 12 Numerical analysis (65-XX) 11 Integral transforms, operational calculus (44-XX) 11 Geometry (51-XX) 11 Computer science (68-XX) 10 Statistics (62-XX) 8 Integral equations (45-XX) 7 \(K\)-theory (19-XX) 7 General topology (54-XX) 6 Field theory and polynomials (12-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 4 History and biography (01-XX) 4 Convex and discrete geometry (52-XX) 3 Mathematical logic and foundations (03-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Biology and other natural sciences (92-XX) 2 General algebraic systems (08-XX) 2 Potential theory (31-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Difference and functional equations (39-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.