Alexandre Kirillov

Alexandre Kirillov's AcademicInfluence.com Rankings

Alexandre Kirillov

Mathematics

#407

World Rank

#824

Historical Rank

Measure Theory

#1206

World Rank

#1534

Historical Rank

mathematics Degrees

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Mathematics

Why Is Alexandre Kirillov Influential?

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According to Wikipedia, Alexandre Aleksandrovich Kirilloff is a Soviet and Russian mathematician, known for his works in the fields of representation theory, topological groups and Lie groups. In particular he introduced the orbit method into representation theory. He is an emeritus professor at the University of Pennsylvania.

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Alexandre Kirillov's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Elements of the theory of representations (1976) (1458)
Introduction to Superanalysis (1987) (754)
Lectures on the Orbit Method (2004) (594)
UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS (1962) (544)
LOCAL LIE ALGEBRAS (1976) (338)
Sur les Corps Liés Aux Algèbres Enveloppantes des Algèbres de Lie (1966) (218)
Merits and demerits of the orbit method (1999) (171)
Arnold's Problems (2006) (133)
Theorems And Problems In Functional Analysis (1982) (121)
On Dynamical Systems with an Integral Invariant on a Torus (1991) (94)
Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras (1981) (78)
The characters of unitary representations of Lie groups (1968) (70)
Kähler structures on K-orbits of the group of diffeomorphisms of a circle (1987) (61)
Geometric approach to discrete series of unirreps for Vir. (1998) (58)
Kähler geometry of the infinite-dimensional homogeneous space M = Diff+(S1)/Rot(S1) (1987) (51)
Kähler geometry of the infinite-dimensional homogeneous manifold M = Diff+(S1)/Rot(S1) (1987) (47)
DYNAMICAL SYSTEMS, FACTORS AND REPRESENTATIONS OF GROUPS (1967) (42)
The variety $A_n$ of n-dimensional Lie algebra structures (1987) (42)
Representation Theory and Noncommutative Harmonic Analysis II (1994) (39)
Introduction to family algebras (2001) (35)
The structure of the lie field connected with a split semisimple lie algebra (1969) (27)
Lectures on the affine Hecke algebras and Macdonald conjectures (1995) (24)
A Tale of Two Fractals (2013) (24)
Two More Variations on the Triangular Theme (2003) (22)
A unified representation-theoretic approach to special functions (1993) (18)
Polynomial covariants of the symmetric group and some of its analogs (1984) (16)
Covariants of the symmetric group and its analogs in Weyl algebras (1990) (15)
Method of orbits in the theory of unitary representations of Lie groups (1968) (14)
Direct and Indirect Interactions between an Invasive Alien Fish (Perccottus glenii) and Two Native Semi-aquatic Snakes (2013) (13)
« О Телах, Связанных С Обертывающими Алгебрами Алгебр Ли » (1966) (11)
Invariant operators on geometric quantities (1982) (11)
Topics in representation theory (1991) (9)
Plancherel measure for nilpotent Lie groups (1967) (9)
Ecological analysis of trematodes (Trematoda) of marsh frog Pelophylax ridibundus (Ranidae, Anura) from various habitats of the National Park «Samarskaya Luka» (Russia) (2018) (9)
On a Remarkable Sequence of Polynomials (2001) (9)
The first record of natural transfer of mitochondrial DNA from Pelophylax cf. bedriagae into P. lessonae (Amphibia, Anura) (2019) (8)
Characters of the unitary representations of Lie groups: Reduction theorems (1969) (8)
Helminth fauna of reptiles in the National Park «Smolny», Russia (2021) (7)
Oswaldocruzia filiformis sensu lato (Nematoda: Molineidae) from amphibians and reptiles in European Russia: morphological and molecular data (2020) (7)
Ectoparasites of the edible dormouse Glis glis L. of Samarskaya Luka Peninsula [Russia] (2006) (7)
Analysis of the reproductive structure of the hemipopulation of the Cosmocerca ornata (Dujardin, 1845) (Nematoda: Cosmocercidae) in marsh frogs of different ages (2016) (7)
[Role of the marsh frog tadpoles in the life cycle of Cosmocerca ornata (Nematoda: Cosmocercidae)]. (2015) (6)
Certain division algebras over a field of rational functions (1967) (6)
On the combinatorics of coadjoint orbits (1993) (6)
Overview of helminths in reptiles of the National Park "Samarskaya Luka" (Russia). (2018) (6)
On the number of solutions to the equationX2 = 0 in triangular matrices over a finite field (1995) (5)
Compact groups and their representations (2005) (5)
[Trematodes (Trematoda) of bats (Chiroptera) from the Middle Volga Region]. (2012) (5)
New bis-tetraarylcyclopentadienones (1998) (4)
Ecological analysis of the helminth fauna in Bufo bufo (Amphibia: Anura) from various habitats (2020) (4)
Invariant differential operators on geometrical quantities (1977) (4)
Izrail' Moiseevich Gel'fand: the Work of I. M. GEL'FAND on Functional Analysis, Algebra, and Topology (1974) (3)
On Tangent Cones of Schubert Varieties (2016) (3)
Theorems and Problems in Functional Analysis (Problem Books in Mathematics) (2011) (3)
Family algebras and generalized exponents for polyvector representations of simple Lie algebras of type Bn (2008) (3)
Structures of Lie algebra that have the locality property (1975) (3)
First finding of spirurid larva (Chromadorea, Spirurida) in the common European viper Vipera berus (Linnaeus, 1758) of the Russian fauna (2021) (3)
Anatolii Moiseevich Vershik (on his sixtieth birthday) (1994) (3)
Life Cycle of Cosmocerca ornata (Nematoda: Cosmocercidae), a Parasite of Amphibians (2021) (3)
Infinite Dimensional Groups , Their Representations , Orbits , Invariants (2010) (3)
Morphological variability of Oswaldocruzia filiformis (Nematoda: Molineidae) in reptiles inhabiting the protected areas of the Republic of Mordovia (Russia) (2020) (2)
Geometry of moments for diffeomorphism groups (1987) (2)
Первая находка Microtus subterraneus (de Sélys-Longchamps, 1836) (Rodentia, Cricetidae) в Мордовии, Россия (2019) (2)
[First finding of the Centrorhynchus aluconis (Muller, 1780) (Giganthorhynchidae) and Moniliformis moniliformis bremser, 1811 (Moniliformidae) larvae in shrews (Insectivora: Soricidae) of the fauna of Russia]. (2007) (2)
First finding of Morishitium polonicum (Trematoda, Cyclocoelidae) in Turdus merula and Coccothraustes coccothraustes in Russia (2019) (2)
[Nematodes (Nematoda) from bats (Chiroptera) of the Samarskaya Luka Peninsula (Russia)]. (2008) (2)
Morphological variability of Oswaldocruzia filiformis (Nematoda: Molineidae) in amphibians from European Russia (2021) (2)
Comparative analysis of the helminth fauna of Natrix natrix and Natrix tessellata (Reptilia, Colubridae) in the Samarskaya Luka National Park (Russia) (2019) (2)
Representation theory and Noncommutative harmonic analysis II: homogeneous spaces, representations and special fuctions (1995) (2)
MACDONALD ' S POLYNOMIALS ANDREPRESENTATIONS OF QUANTUM GROUPSPavel (1994) (2)
[Trematodes of birds (Aves) from the Middle Volga region. 2. Orders Plagiorchiida, Renicolida, Strigeida, and Schistosomatida]. (2013) (2)
Reptile occurrences data in the Volga River basin (Russia) (2020) (2)
[Trematodes (trematoda) of amphibia from the Middle Volga region. 1. Orders Fasciolida, Hemiurida, Paramphistomida and Strigeida]. (2012) (2)
[VARIABILITY AND DETERMINING FACTORS OF THE BODY SIZE STRUCTURE OF THE INFRAPOPULATION OF COSMOCERCA ORNATA (NEMATODA: COSMOCERCIDAE) IN MARSH FROGS]. (2015) (2)
Novel aromatic tetracarboxylic acid dianhydrides (1999) (2)
Overview of the Helminth Fauna of Slow Worms of Genus Anguis (Reptilia, Anguidae) in the Western Palearctic (2019) (2)
Multifractal analysis of the species structure of helminthic communities of small mammals in the Samarskaya Luka (2009) (2)
Sur les corps liés aux algèbres envelop pantes des algèbres de lie.(p. 5à 20) (1966) (1)
The orbit method for nilpotent Lie groups (2004) (1)
Izrail' Moiseevich Gel'fand (on his seventieth birthday) (1983) (1)
[The number of larvae and period of its production of Cosmocerca Ornata females (Nematoda: Cosmocercidae)]. (2017) (1)
Feliks Aleksandrovich Berezin (obituary) (1981) (1)
Семейные алгебры и обобщенные экспоненты для поливекторных представлений простых алгебр Ли типа $B_n$@@@Family Algebras and Generalized Exponents for Polyvector Representations of Simple Lie Algebras of Type $B_n$ (2008) (1)
[Trematodes of birds (Aves) from the Middle Volga region. 1. Orders Brachylaimidae, Cyclocoelida, Echinostomatida, Notocotylida, and Opisthorchiida]. (2013) (1)
Structure and seasonal dynamics of helminth fauna of the great tit Parus major (Passeriformes, Paridae) from Samarskaya Luka (2018) (1)
Branching Rules for Splint Root Systems (2018) (1)
Poly(imides) based on 4,4'-bis(2,3,6,-triphenyl-4,5-dicarboxyphenyl)benzophenone dianhydride (2001) (1)
UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS (1962) (1)
[Characteristic of reproductive structure in the hemipopulation of a bat-parasitizing nematode Thominx neopulchra (Nematoda, Capillariidae)]. (2010) (1)
A new diamine with methyl o-substituents and the related organosoluble polyimide (2000) (1)
[Trematodes (Trematoda) of micromammals from Middle Volga region]. (2009) (1)
DYNAMICAL SYSTEMS, FACTORS AND REPRESENTATIONS OF GROUPS (1967) (1)
Roland L'vovich Dobrushin (on his sixtieth birthday) (1989) (1)
Odd family algebras (2006) (1)
Harmonic Functions on the Sierpiński Gasket (2013) (1)
CENTRAL EXTENSIONS OF GROUPS OF SYMPLECTOMORPHISMS (2004) (1)
[Variability of the dimensional structure in the hemipopulation of Thominx neopulchra (Nematoda: Capillariidae) females from bats of the genus myotis (Chiroptera: Vespertilionidae)]. (2012) (1)
Исмагилов Раис Сальманович (к семидесятипятилетию со дня рождения)@@@Rais Sal'manovich Ismagilov (on his 75th birthday) (2013) (0)
Марк Иосифович Граев (к 85-летию со дня рождения)@@@Mark Iosifovich Graev (to his 85th brithday) (2008) (0)
Георгий Максимович Адельсон-Вельский (некролог)@@@Georgii Maksimovich Adel'son-Vel'skii (obituary) (2014) (0)
New phenylated poly(naphthoylenebenzimidazoles) (2001) (0)
Comparative analysis of the helminth fauna of Myotis brandtii and Myotis mystacinus (Сhiroptera, Vespertilionidae) in the Samarskaya Luka National Park (Russia) (2022) (0)
Semiinfinite cohomology of lie superalgebras (1989) (0)
Lectures Math370-08c (0)
THE HUMAN SON GENE : LARGE AND SMALL TRANSCRIPTS HAVE DIFFERENT 5'-TERMINAL SEQUENCES (1992) (0)
Umbrella Shaped Fish Protection Arrangements (UFPA) (1995) (0)
Grigori Iosifovich Olshanski (2019) (0)
Definition of the Apollonian Gasket (2013) (0)
Anatolii Moiseevich Vershik (on his 80th birthday) (2014) (0)
Solvable Lie groups (2004) (0)
New phenylated poly(naphthylimides) based on isomeric dianhydrides of 4,4'-bis[tetraphenyl-(4,5-dicarboxynaphth-1-yl)phenyl]benzophenone1 (2001) (0)
The Erwin Schrr Odinger International Institute for Mathematical Physics Geometric Approach to Discrete Series of Unireps for Vir (1995) (0)
Roland L'vovich Dobrushin (on his sixtieth birthday) (1989) (0)
[Viral enteritis in minks]. (1971) (0)
Complex method of treating purulent pododermatitis (2007) (0)
LECTURES ON THE AFFINE HECKEALGEBRAS AND MACDONALD CONJECTURESAlexander (1995) (0)
Alexandre Kirillov Interview September 13, 1989 (1989) (0)
Branching Rules for Splint Root Systems (2022) (0)
Novel Aromatic Tetracarboxylic Acid Dianhydrides. (2000) (0)
Alexandre Kirillov Interview October 19, 1990 (1990) (0)
Circles and Disks on Spheres (2013) (0)
Arithmetic Properties of Apollonian Gaskets (2013) (0)
Development of organosilicon decorative coating with craquelure effect (2020) (0)
On the mirabolic Lie algebra $\mathfrak{p}_n $ (2014) (0)
Mark Iosifovich Graev (to his 85th brithday) (2008) (0)
ON THE AFFINE ANALOGUE OF JACK ' SAND MACDONALD ' S POLYNOMIALSPavel (1994) (0)
Lie groups and homogeneous manifolds (2004) (0)
MultiDimensional Apollonian Gaskets (2013) (0)
Compact Lie groups (2004) (0)
The Laplace Operator on the Sierpiński Gasket (2013) (0)
Jordan Types of Triangular Matrices over a Finite Field (2022) (0)
Анатолий Моисеевич Вершик (к восьмидесятилетию со дня рождения)@@@Anatolii Moiseevich Vershik (on his 80th birthday) (2014) (0)
LOCAL LIE ALGEBRAS (1976) (0)
Geometric and Group-Theoretic Approach (2013) (0)
On Tangent Cones of Schubert Varieties (2017) (0)
Ernest Vinberg, Nikita Vvedenskaya, Alexandre Kirillov, and Vladimir Tikhomirov Interview (1993) (0)
Trematodes of Genera Gyrabascus and Parabascus from Bats in European Russia: Morphology and Molecular Phylogeny (2022) (0)
Definitions and General Properties (2013) (0)
GEORGII ISAAKOVICH KATS (obituary) (1979) (0)
On the 80th Birthday of Dmitry Borisovich Fuchs (2020) (0)
Trematodes of Land Birds from the Republic of Mordovia with a Checklist of Avian Trematodes of the Middle Volga Region (European Russia) (2023) (0)
New Bis(tetraarylcyclopentadienones). (1998) (0)
Helminths of Erinaceus roumanicus (Eulipotyphla, Erinaceidae) in Mordovia (Russia) with an Overview of Helminth Fauna of Erinaceus spp. Inhabiting the Palaearctic Region (2022) (0)
Thirty-One Invited Addresses (Eight in Abstract) at the International Congress of Mathematicians in Moscow, 1966 (1968) (0)
Izrail' Moiseevich Gel'fand (on his seventieth birthday) (1983) (0)
[The epidemic spread of the influenza A and B viruses in the USSR in 1985-1986]. (1988) (0)
[Helminthofauna of the common shrew Sorex araneus L. (Soricidae) from Samarskaya Luka]. (2007) (0)
Analysis of the reproductive structure of the hemipopulation of the Cosmocerca ornata (Dujardin, 1845) (Nematoda: Cosmocercidae) in marsh frogs of different ages (2016) (0)
Robert Adol'fovich Minlos (on his sixtieth birthday) (1992) (0)
Feliks Aleksandrovich Berezin (obituary) (1981) (0)
A new method of preparing poly(phenylenethynylenes) (2001) (0)
Some Results on the Structure of Quantum Family (2000) (0)
PROBLEMS OF THE ORIENTAL HISTORY AND MODERNITY: REFLECTIONS ON LEONID B. ALAEV’S BOOK (2020) (0)
GEORGII ISAAKOVICH KATS (obituary) (1979) (0)
[Trematodes (Trematoda) of amphibia from the Middle Volga region. Report 2. Order Plagiorchiida]. (2012) (0)
Anatolii Moiseevich Vershik (on his sixtieth birthday) (1994) (0)
Parasites, Bacteria and Viruses of the Edible Dormouse Glis glis (Rodentia: Gliridae) in the Western Palaearctic (2022) (0)
Georgy Maksimovich Adelson-Velsky (obituary) (2014) (0)
Robert Adol'fovich Minlos (on his sixtieth birthday) (1992) (0)
The State of Fragrance, Personal Care and Cosmetics (2008) (0)
Rais Sal'manovich Ismagilov (on his 75th birthday) (2013) (0)
Izrail Moiseevich Gelfand (1987) (0)
[Fecundity of Thominx neopulchra (Nematoda:Capillariidae) from bats of the genus Myotis (Chiroptera:Vespertilionidae)]. (2011) (0)
Григорий Иосифович Ольшанский ( к семидесятилетию со дня рождения) (2019) (0)
О мираболической алгебре Ли $\mathfrak{p}_n$@@@On the Mirabolic Lie Algebra $\mathfrak{p}_n$ (2014) (0)
Lecture 2 Operators in Hilbert Space (0)
New functionalized poly(imides) (2001) (0)
HELMINTH FAUNA IN MYOMORPH RODENTS FROM THE NATIONAL PARK “SMOLNY” (2022) (0)

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