Persons: Kirillov, Aleksandr Aleksandrovich

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Kirillov, Aleksandr Aleksandrovich

Statistics Math-Net.Ru
Total publications:	67
Scientific articles:	42
Presentations:	20

Number of views:
This page:	9138
Abstract pages:	46543
Full texts:	19578
References:	2654

Professor

Doctor of physico-mathematical sciences (1962)

Birth date:

9.05.1936

E-mail:

Website:

http://www.math.upenn.edu/~kirillov/; http://iitp.ru/ru/users/496.htm

Main publications:

Elementy teorii predstavlenii / A.A. Kirillov. - Moskva : Nauka, 1972. - 336 s.
Teoremy i zadachi funktsionalnogo analiza / A.A. Kirillov: [Ucheb. pos. dlya fiz.-mat. spets. vuzov]. - Moskva : Nauka, 1979. - 381 s.
Chto takoe chislo? / A. A. Kirillov. - Moskva : Nauka, 1993. - 78,[1] s.; 20 sm. - (Sovr. matematika dlya studentov; Vyp. 4).; ISBN 5-02-014942-3 : B. ts., 1600 ekz.
Predely / A. A. Kirillov. - 3-e izd., ster. - Moskva : Fazis, 1995. - 94,[2] s. : il.; 21 sm. - (Biblioteka "Stupeni znanii". Seriya "Matematika").; ISBN 5-7036-0015-4
Povest o dvukh fraktalakh / A.A. Kirillov. - Moskva : MTsNMO, 2016. - [177] s.; ISBN 978-5-4439-3038-1

https://www.mathnet.ru/eng/person20210

https://ru.wikipedia.org/wiki/Kirillov,_Aleksandr_Aleksandrovich

List of publications on Google Scholar

https://zbmath.org/authors/ai:kirillov.alexandre-aleksandrovich

https://mathscinet.ams.org/mathscinet/MRAuthorID/352429

https://elibrary.ru/author_items.asp?authorid=14000

ISTINA

https://istina.msu.ru/workers/40192591

	Publications in Math-Net.Ru	Citations
	2020
1.	Alice Fialowski, Ekaterina Fuchs, Elena Fuchs, Boris Khesin, Alexandre Kirillov, Fedor Malikov, Valentin Ovsienko, Alexei Sossinsky, Serge Tabachnikov, “On the 80th Birthday of Dmitry Borisovich Fuchs”, SIGMA, 16 (2020), 023, 17 pp.
	2014
2.	A. A. Kirillov, “On the Mirabolic Lie Algebra $\mathfrak{p}_n$ ”, Funktsional. Anal. i Prilozhen., 48:2 (2014), 88–92 ; Funct. Anal. Appl., 48:2 (2014), 145–149
	2008
3.	A. A. Kirillov, “Family Algebras and Generalized Exponents for Polyvector Representations of Simple Lie Algebras of Type $B_n$ ”, Funktsional. Anal. i Prilozhen., 42:4 (2008), 72–82 ; Funct. Anal. Appl., 42:4 (2008), 308–316	2
	2004
4.	A. A. Kirillov, I. A. Kirillov, “General properties of probability density $A\cdot\exp(-(x-c)^2/(a(x-c)+2b^2))$ ”, Mat. Model., 16:1 (2004), 75–89	1
	2001
5.	E. E. Antonov, L. G. Dedenko, A. A. Kirillov, T. M. Roganova, G. F. Fedorova, E. Yu. Fedunin, “Test of Lorentz invariance through observation of the longitudinal development of ultrahigh-energy extensive air showers”, Pis'ma v Zh. Èksper. Teoret. Fiz., 73:9 (2001), 506–510 ; JETP Letters, 73:9 (2001), 446–450	18
6.	A. A. Kirillov, “Introduction to family algebras”, Mosc. Math. J., 1:1 (2001), 49–63	21
	1995
7.	A. A. Kirillov, “On the Number of Solutions to the Equation $X^2=0$ in Triangular Matrices over a Finite Field”, Funktsional. Anal. i Prilozhen., 29:1 (1995), 82–87 ; Funct. Anal. Appl., 29:1 (1995), 64–68	7
	1993
8.	A. A. Kirillov, “On the Combinatorics of Coadjoint Orbits”, Funktsional. Anal. i Prilozhen., 27:1 (1993), 73–75 ; Funct. Anal. Appl., 27:1 (1993), 62–64	2
	1990
9.	A. A. Kirillov, I. M. Pak, “Covariants of the symmetric group and its analogs in Weyl algebras”, Funktsional. Anal. i Prilozhen., 24:3 (1990), 9–13 ; Funct. Anal. Appl., 24:3 (1990), 172–176	12
	1989
10.	A. A. Kirillov, “On identities in Lie algebras of vector fields”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 2, 11–13
	1988
11.	A. A. Kirillov, “Introduction to representation theory and noncommutative harmonic analysis”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 22 (1988), 5–162	11
	1987
12.	A. A. Kirillov, D. V. Yur'ev, “Kähler geometry of the infinite-dimensional homogeneous space $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$ ”, Funktsional. Anal. i Prilozhen., 21:4 (1987), 35–46 ; Funct. Anal. Appl., 21:4 (1987), 284–294	32
13.	A. A. Kirillov, “Kähler structures on $K$ -orbits of the group of diffeomorphisms of a circle”, Funktsional. Anal. i Prilozhen., 21:2 (1987), 42–45 ; Funct. Anal. Appl., 21:2 (1987), 122–125	49
	1986
14.	A. A. Kirillov, D. V. Yur'ev, “Kähler geometry of the infinite-dimensional homogeneous manifold $M=\operatorname{Diff}_+(S^1)/\operatorname{Rot}(S^1)$ ”, Funktsional. Anal. i Prilozhen., 20:4 (1986), 79–80 ; Funct. Anal. Appl., 20:4 (1986), 322–324	11
	1985
15.	A. A. Kirillov, “Geometric quantization”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4 (1985), 141–176	20
	1984
16.	A. A. Kirillov, “Polynomial covariants of the symmetric group and some of its analogs”, Funktsional. Anal. i Prilozhen., 18:1 (1984), 74–75 ; Funct. Anal. Appl., 18:1 (1984), 63–64	13
	1983
17.	A. A. Kirillov, M. L. Kontsevich, “The growth of the Lie algebra generated by two generic vector fields on the line”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 4, 15–20	5
	1981
18.	A. A. Kirillov, “Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras”, Funktsional. Anal. i Prilozhen., 15:2 (1981), 75–76 ; Funct. Anal. Appl., 15:2 (1981), 135–137	62
	1980
19.	A. A. Kirillov, “Invariant operators over geometric quantities”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16 (1980), 3–29 ; J. Soviet Math., 18:1 (1982), 1–21	14
	1977
20.	A. A. Kirillov, “Invariant differential operators on geometrical quantities”, Funktsional. Anal. i Prilozhen., 11:2 (1977), 39–44 ; Funct. Anal. Appl., 11:2 (1977), 114–118	4
	1976
21.	A. A. Kirillov, “Local Lie algebras”, Uspekhi Mat. Nauk, 31:4(190) (1976), 57–76 ; Russian Math. Surveys, 31:4 (1976), 55–75	176
	1975
22.	A. A. Kirillov, “Structures of Lie algebra that have the locality property”, Funktsional. Anal. i Prilozhen., 9:2 (1975), 75–76 ; Funct. Anal. Appl., 9:2 (1975), 158–160	2
	1973
23.	A. A. Kirillov, “Representations of an infinite dimensional unitary group”, Dokl. Akad. Nauk SSSR, 212:2 (1973), 288–290	8
	1969
24.	A. A. Kirillov, “Characters of the unitary representations of Lie groups: Reduction theorems”, Funktsional. Anal. i Prilozhen., 3:1 (1969), 36–47 ; Funct. Anal. Appl., 3:1 (1969), 29–38	6
25.	I. M. Gel'fand, A. A. Kirillov, “The structure of the lie field connected with a split semisimple lie algebra”, Funktsional. Anal. i Prilozhen., 3:1 (1969), 7–26 ; Funct. Anal. Appl., 3:1 (1969), 6–21	26
	1968
26.	I. M. Gel'fand, A. A. Kirillov, “The structure of the quotient sfield of the enveloping algebra of a semisimple Lie algebra”, Dokl. Akad. Nauk SSSR, 180:4 (1968), 775–777	1
27.	A. A. Kirillov, “The characters of unitary representations of Lie groups”, Funktsional. Anal. i Prilozhen., 2:2 (1968), 40–55 ; Funct. Anal. Appl., 2:2 (1968), 133–146	29
28.	A. A. Kirillov, “Method of orbits in the theory of unitary representations of Lie groups”, Funktsional. Anal. i Prilozhen., 2:1 (1968), 96–98 ; Funct. Anal. Appl., 2:1 (1968), 90–93	9
29.	A. A. Kirillov, “Sfields generated by matrices with independent elements”, Uspekhi Mat. Nauk, 23:1(139) (1968), 227–228
	1967
30.	A. A. Kirillov, “Plancherel measure for nilpotent Lie groups”, Funktsional. Anal. i Prilozhen., 1:4 (1967), 84–85 ; Funct. Anal. Appl., 1:4 (1967), 330–331	6
31.	A. A. Kirillov, “Certain division algebras over a field of rational functions”, Funktsional. Anal. i Prilozhen., 1:1 (1967), 101–102 ; Funct. Anal. Appl., 1:1 (1967), 87–88	3
32.	A. A. Kirillov, “Dynamical systems, factors and representations of groups”, Uspekhi Mat. Nauk, 22:5(137) (1967), 67–80 ; Russian Math. Surveys, 22:5 (1967), 63–75	35
	1966
33.	A. A. Kirillov, “Classification of irreducible unitary representations of a group of second-order matrices with elements from a locally compact field”, Dokl. Akad. Nauk SSSR, 168:2 (1966), 273–275
34.	I. M. Gel'fand, A. A. Kirillov, “On fields connected with the enveloping algebras of Lie algebras”, Dokl. Akad. Nauk SSSR, 167:3 (1966), 503–505	6
	1965
35.	A. A. Kirillov, “Positive-definite functions on a group of matrices with elements from a discrete field”, Dokl. Akad. Nauk SSSR, 162:3 (1965), 503–505	1
	1963
36.	A. A. Kirillov, “Infinite-dimensional unitary representations of a second-order matrix group with elements in a locally compact field”, Dokl. Akad. Nauk SSSR, 150:4 (1963), 740–743	2
	1962
37.	A. A. Kirillov, “Infinite-dimensional representations of the complete matrix group”, Dokl. Akad. Nauk SSSR, 144:1 (1962), 37–39	1
38.	A. A. Kirillov, “Unitary representations of nilpotent Lie groups”, Uspekhi Mat. Nauk, 17:4(106) (1962), 57–110 ; Russian Math. Surveys, 17:4 (1962), 53–104	254
	1961
39.	A. A. Kirillov, “Unitary representations of nilpotent Lie groups”, Dokl. Akad. Nauk SSSR, 138:2 (1961), 283–284
40.	A. A. Kirillov, “A problem of I. M. Gel'fand”, Dokl. Akad. Nauk SSSR, 137:2 (1961), 276–277	4
	1960
41.	A. A. Kirillov, “On unitary representations of nilpotent Lie groups”, Dokl. Akad. Nauk SSSR, 130:5 (1960), 966–968
	1957
42.	A. A. Kirillov, “The representations of the group of rotations of an $n$ -dimensional Euclidean space by spherical vector fields”, Dokl. Akad. Nauk SSSR, 116:4 (1957), 538–541	1

	2019
43.	A. M. Borodin, Aleksandr I. Bufetov, Aleksei I. Bufetov, A. M. Vershik, V. E. Gorin, A. I. Molev, V. F. Molchanov, R. S. Ismagilov, A. A. Kirillov, M. L. Nazarov, Yu. A. Neretin, N. I. Nessonov, A. Yu. Okounkov, L. A. Petrov, S. M. Khoroshkin, “Grigori Iosifovich Olshanski (on his 70th birthday)”, Uspekhi Mat. Nauk, 74:3(447) (2019), 193–213 ; Russian Math. Surveys, 74:3 (2019), 555–577
	2017
44.	A. Chernavski, D. Fuchs, S. Gusein-Zade, Yu. Ilyashenko, O. Karpenkov, A. Kirillov, S. Lando, S. Matveev, M. Skopenkov, V. Tikhomirov, M. Tsfasman, V. Vassiliev, “Alexei Bronislavovich Sossinsky turns 80”, Mosc. Math. J., 17:3 (2017), 555–558
	2014
45.	V. L. Arlazarov, E. A. Dinitz, Yu. S. Ilyashenko, A. V. Karzanov, S. M. Karpenko, A. A. Kirillov, N. N. Konstantinov, M. A. Kronrod, O. P. Kuznetsov, L. B. Okun', P. A. Pevzner, A. L. Semenov, I. A. Faradzhev, B. V. Cherkasskii, A. G. Khovanskii, “Georgy Maksimovich Adelson-Velsky (obituary)”, Uspekhi Mat. Nauk, 69:4(418) (2014), 169–176 ; Russian Math. Surveys, 69:4 (2014), 743–751	1
46.	V. M. Buchstaber, M. I. Gordin, I. A. Ibragimov, V. A. Kaimanovich, A. A. Kirillov, A. A. Lodkin, S. P. Novikov, A. Yu. Okounkov, G. I. Olshanski, F. V. Petrov, Ya. G. Sinai, L. D. Faddeev, S. V. Fomin, N. V. Tsilevich, Yu. V. Yakubovich, “Anatolii Moiseevich Vershik (on his 80th birthday)”, Uspekhi Mat. Nauk, 69:1(415) (2014), 173–186 ; Russian Math. Surveys, 69:1 (2014), 165–179
	2013
47.	A. M. Vershik, A. A. Kirillov, V. F. Molchanov, Yu. A. Neretin, G. I. Olshanski, V. V. Ryzhikov, V. M. Tikhomirov, A. A. Shkalikov, “Rais Sal'manovich Ismagilov (on his 75th birthday)”, Uspekhi Mat. Nauk, 68:4(412) (2013), 185–190 ; Russian Math. Surveys, 68:4 (2013), 783–788	1
	2010
48.	S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832
	2009
49.	V. Buchstaber, S. Gusein-Zade, Yu. Ilyashenko, A. Kirillov, I. Krichever, S. Natanzon, S. Novikov, A. Sergeev, A. Sossinsky, M. Tsfasman, “Oleg Sheinman”, Mosc. Math. J., 9:3 (2009), 723–724
	2008
50.	A. M. Vershik, I. M. Gel'fand, S. G. Gindikin, A. A. Kirillov, G. L. Litvinov, V. F. Molchanov, Yu. A. Neretin, V. S. Retakh, “Mark Iosifovich Graev (to his 85th brithday)”, Uspekhi Mat. Nauk, 63:1(379) (2008), 169–182 ; Russian Math. Surveys, 63:1 (2008), 173–188
	1994
51.	V. I. Arnol'd, M. Sh. Birman, I. M. Gel'fand, I. A. Ibragimov, S. V. Kerov, A. A. Kirillov, O. A. Ladyzhenskaya, G. A. Leonov, A. A. Lodkin, S. P. Novikov, Ya. G. Sinai, M. Z. Solomyak, L. D. Faddeev, “Anatolii Moiseevich Vershik (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 49:3(297) (1994), 195–204 ; Russian Math. Surveys, 49:3 (1994), 207–221	3
	1992
52.	R. L. Dobrushin, A. A. Kirillov, V. A. Malyshev, Ya. G. Sinai, A. Ya. Helemskii, “Robert Adol'fovich Minlos (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 47:1(283) (1992), 225–226 ; Russian Math. Surveys, 47:1 (1992), 275–277
	1989
53.	A. A. Kirillov, V. I. Man'ko, V. F. Molchanov, I. I. Shitikov, “School-Seminar “Group Presentations in Physics””, Uspekhi Mat. Nauk, 44:6(270) (1989), 171–172
54.	A. A. Kirillov, V. A. Malyshev, R. A. Minlos, S. P. Novikov, M. Sh. Pinsker, Ya. G. Sinai, Yu. M. Sukhov, S. B. Shlosman, “Roland L'vovich Dobrushin (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 44:6(270) (1989), 161–162 ; Russian Math. Surveys, 44:6 (1989), 197–199
	1983
55.	N. N. Bogolyubov, S. G. Gindikin, A. A. Kirillov, A. N. Kolmogorov, S. P. Novikov, L. D. Faddeev, “Izrail' Moiseevich Gel'fand (on his seventieth birthday)”, Uspekhi Mat. Nauk, 38:6(234) (1983), 137–152 ; Russian Math. Surveys, 38:6 (1983), 145–153	1
	1981
56.	N. N. Bogolyubov, I. M. Gel'fand, R. L. Dobrushin, A. A. Kirillov, M. G. Krein, D. A. Leites, R. A. Minlos, Ya. G. Sinai, M. A. Shubin, “Feliks Aleksandrovich Berezin (obituary)”, Uspekhi Mat. Nauk, 36:4(220) (1981), 185–190 ; Russian Math. Surveys, 36:4 (1981), 209–216	1
57.	S. P. Novikov, A. A. Kirillov, B. P. Komrakov, “Differential-geometric methods in mathematical physics”, Uspekhi Mat. Nauk, 36:1(217) (1981), 237–239
	1979
58.	Yu. M. Berezanskii, F. A. Berezin, N. N. Bogolyubov, L. I. Vainerman, Yu. L. Daletskii, A. A. Kirillov, V. G. Palyutkin, B. I. Khatset, S. D. Èidel'man, “Georgii Isaakovich Kats (obituary)”, Uspekhi Mat. Nauk, 34:2(206) (1979), 185–188 ; Russian Math. Surveys, 34:2 (1979), 213–217
	1977
59.	A. A. Kirillov, “Errata”, Uspekhi Mat. Nauk, 32:1(193) (1977), 268	1
	1976
60.	A. A. Kirillov, “Second School-Seminar “Group Presentations and Their Applications””, Uspekhi Mat. Nauk, 31:2(188) (1976), 263–264
	1975
61.	V. I. Arnol'd, A. A. Kirillov, V. M. Tikhomirov, M. A. Shubin, “On First All-Union Mathematical Competition for Students”, Uspekhi Mat. Nauk, 30:4(184) (1975), 281–288	1
	1974
62.	S. G. Gindikin, A. A. Kirillov, D. B. Fuchs, “The work of I. M. Gel'fand on functional analysis, algebra and topology”, Uspekhi Mat. Nauk, 29:1(175) (1974), 195–223 ; Russian Math. Surveys, 29:1 (1974), 5–35	3
	1973
63.	P. M. Gudivok, A. A. Kirillov, A. V. Mikhalev, “School-Seminar “Group Presentations and Their Applications””, Uspekhi Mat. Nauk, 28:4(172) (1973), 235–236
	1970
64.	F. A. Berezin, S. G. Gindikin, A. A. Kirillov, V. P. Palamodov, “All-Union Symposium on Theory of Holomorphic Functions of Several Complex Variables”, Uspekhi Mat. Nauk, 25:1(151) (1970), 219–220
	1966
65.	A. A. Kirillov, S. P. Novikov, D. B. Fuchs, I. R. Shafarevich, “Second Summer Topological School”, Uspekhi Mat. Nauk, 21:2(128) (1966), 257–258	1
	1964
66.	A. A. Kirillov, “Symposium on Algebraic Groups and Their Representations”, Uspekhi Mat. Nauk, 19:1(115) (1964), 225–228
	1963
67.	V. I. Arnol'd, A. A. Kirillov, Ya. G. Sinai, “Dynamical systems at the Stockholm Mathematical Congress”, Uspekhi Mat. Nauk, 18:2(110) (1963), 189–196	2

Presentations in Math-Net.Ru

1.	О представлениях треугольной матричной группы A. A. Kirillov Globus Seminar April 18, 2019 15:40
2.	The orbit method for finite groups A. A. Kirillov Algebraic Geometry and Number Theory June 26, 2014 11:00
3.	Арифметика фракталов III A. A. Kirillov Summer mathematical school "Algebra and Geometry", 2012 July 28, 2012 11:30
4.	Арифметика фракталов II A. A. Kirillov Summer mathematical school "Algebra and Geometry", 2012 July 26, 2012 16:30
5.	Арифметика фракталов I A. A. Kirillov Summer mathematical school "Algebra and Geometry", 2012 July 25, 2012 09:30
6.	Geometric quantization. Lecture 2 A. A. Kirillov Summer School "Contemporary Mathematics", 2012 July 23, 2012 11:15
7.	Geometric quantization. Lecture 1 A. A. Kirillov Summer School "Contemporary Mathematics", 2012 July 22, 2012 15:30
8.	Generalized exponents and family algebras A. A. Kirillov Dobrushin Mathematics Laboratory Seminar July 10, 2012 16:00
9.	Главы из книги «Повесть о двух фракталах». Лекция 2 A. A. Kirillov Summer School "Contemporary Mathematics", 2009 July 26, 2009 12:45
10.	Главы из книги «Повесть о двух фракталах». Лекция 1 A. A. Kirillov Summer School "Contemporary Mathematics", 2009 July 25, 2009 09:30
11.	Geometry, analysis and arithmetic of fractals. Part 4 A. A. Kirillov Summer School "Contemporary Mathematics", 2007 July 27, 2007 17:15
12.	Geometry, analysis and arithmetic of fractals. Part 3 A. A. Kirillov Summer School "Contemporary Mathematics", 2007 July 27, 2007 13:00
13.	Geometry, analysis and arithmetic of fractals. Part 2 A. A. Kirillov Summer School "Contemporary Mathematics", 2007 July 25, 2007 09:40
14.	Geometry, analysis and arithmetic of fractals. Part 1 A. A. Kirillov Summer School "Contemporary Mathematics", 2007 July 24, 2007 09:45
15.	Geometry, analysis and arithmetic of fractals A. A. Kirillov Summer School "Contemporary Mathematics", 2007 July 23, 2007 17:10
16.	Анализ и геометрия фракталов. Занятие A. A. Kirillov Summer School "Contemporary Mathematics", 2004 July 30, 2004
17.	Анализ и геометрия фракталов. Лекция 3 A. A. Kirillov Summer School "Contemporary Mathematics", 2004 July 24, 2004 09:30
18.	Анализ и геометрия фракталов. Лекция 2 A. A. Kirillov Summer School "Contemporary Mathematics", 2004 July 22, 2004 17:00
19.	Анализ и геометрия фракталов. Лекция 1 A. A. Kirillov Summer School "Contemporary Mathematics", 2004 July 21, 2004 15:30
20.	Анализ и геометрия фракталов A. A. Kirillov Lie groups and invariant theory June 23, 2004

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