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Publications in Math-Net.Ru |
Citations |
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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. |
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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 |
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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 |
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2004 |
4. |
A. A. Kirillov, I. A. Kirillov, “General properties of probability density $A\cdot\exp(-(x-c)^2/(a(x-c)+2b^2))$”, Matem. Mod., 16:1 (2004), 75–89 |
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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 |
17
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6. |
A. A. Kirillov, “Introduction to family algebras”, Mosc. Math. J., 1:1 (2001), 49–63 |
21
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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 |
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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
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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 |
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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 |
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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
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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 |
31
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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 |
48
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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 |
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1985 |
15. |
A. A. Kirillov, “Geometric quantization”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4 (1985), 141–176 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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1973 |
23. |
A. A. Kirillov, “Representations of an infinite dimensional unitary group”, Dokl. Akad. Nauk SSSR, 212:2 (1973), 288–290 |
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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 |
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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 |
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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
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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 |
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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 |
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29. |
A. A. Kirillov, “Sfields generated by matrices with independent elements”, Uspekhi Mat. Nauk, 23:1(139) (1968), 227–228 |
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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
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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
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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 |
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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 |
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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 |
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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 |
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1962 |
37. |
A. A. Kirillov, “Infinite-dimensional representations of the complete matrix group”, Dokl. Akad. Nauk SSSR, 144:1 (1962), 37–39 |
1
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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 |
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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 |
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1960 |
41. |
A. A. Kirillov, “On unitary representations of nilpotent Lie groups”, Dokl. Akad. Nauk SSSR, 130:5 (1960), 966–968 |
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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 |
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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 |
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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 |
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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
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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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
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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
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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 |
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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 |
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1977 |
59. |
A. A. Kirillov, “Errata”, Uspekhi Mat. Nauk, 32:1(193) (1977), 268 |
1
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1976 |
60. |
A. A. Kirillov, “Second School-Seminar “Group Presentations and Their Applications””, Uspekhi Mat. Nauk, 31:2(188) (1976), 263–264 |
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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
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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 |
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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 |
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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 |
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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
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1964 |
66. |
A. A. Kirillov, “Symposium on Algebraic Groups and Their Representations”, Uspekhi Mat. Nauk, 19:1(115) (1964), 225–228 |
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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 |
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Presentations in Math-Net.Ru |
1. |
О представлениях треугольной матричной группы A. A. Kirillov
Globus Seminar April 18, 2019 15:40
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2. |
The orbit method for finite groups A. A. Kirillov
Algebraic Geometry and Number Theory June 26, 2014 11:00
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3. |
Арифметика фракталов III A. A. Kirillov
Summer mathematical school "Algebra and Geometry", 2012 July 28, 2012 11:30
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4. |
Арифметика фракталов II A. A. Kirillov
Summer mathematical school "Algebra and Geometry", 2012 July 26, 2012 16:30
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5. |
Арифметика фракталов I A. A. Kirillov
Summer mathematical school "Algebra and Geometry", 2012 July 25, 2012 09:30
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6. |
Geometric quantization. Lecture 2 A. A. Kirillov
Summer School "Contemporary Mathematics", 2012 July 23, 2012 11:15
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7. |
Geometric quantization. Lecture 1 A. A. Kirillov
Summer School "Contemporary Mathematics", 2012 July 22, 2012 15:30
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8. |
Generalized exponents and family algebras A. A. Kirillov
Dobrushin Mathematics Laboratory Seminar July 10, 2012 16:00
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9. |
Главы из книги «Повесть о двух фракталах». Лекция 2 A. A. Kirillov
Summer School "Contemporary Mathematics", 2009 July 26, 2009 12:45
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10. |
Главы из книги «Повесть о двух фракталах». Лекция 1 A. A. Kirillov
Summer School "Contemporary Mathematics", 2009 July 25, 2009 09:30
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11. |
Geometry, analysis and arithmetic of fractals. Part 4 A. A. Kirillov
Summer School "Contemporary Mathematics", 2007 July 27, 2007 17:15
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12. |
Geometry, analysis and arithmetic of fractals. Part 3 A. A. Kirillov
Summer School "Contemporary Mathematics", 2007 July 27, 2007 13:00
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13. |
Geometry, analysis and arithmetic of fractals. Part 2 A. A. Kirillov
Summer School "Contemporary Mathematics", 2007 July 25, 2007 09:40
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14. |
Geometry, analysis and arithmetic of fractals. Part 1 A. A. Kirillov
Summer School "Contemporary Mathematics", 2007 July 24, 2007 09:45
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15. |
Geometry, analysis and arithmetic of fractals A. A. Kirillov
Summer School "Contemporary Mathematics", 2007 July 23, 2007 17:10
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16. |
Анализ и геометрия фракталов. Занятие A. A. Kirillov
Summer School "Contemporary Mathematics", 2004 July 30, 2004
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17. |
Анализ и геометрия фракталов. Лекция 3 A. A. Kirillov
Summer School "Contemporary Mathematics", 2004 July 24, 2004 09:30
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18. |
Анализ и геометрия фракталов. Лекция 2 A. A. Kirillov
Summer School "Contemporary Mathematics", 2004 July 22, 2004 17:00
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19. |
Анализ и геометрия фракталов. Лекция 1 A. A. Kirillov
Summer School "Contemporary Mathematics", 2004 July 21, 2004 15:30
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20. |
Анализ и геометрия фракталов A. A. Kirillov
Lie groups and invariant theory June 23, 2004
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