Kirillov Aleksandr Aleksandrovich

Publications in Math-Net.Ru

1. On the 80th Birthday of Dmitry Borisovich Fuchs
   
   SIGMA, 16 (2020), 023, 17 pp.
2. On the Mirabolic Lie Algebra $\mathfrak{p}_n$
   
   Funktsional. Anal. i Prilozhen., 48:2 (2014),  88–92
3. 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
4. General properties of probability density $A\cdot\exp(-(x-c)^2/(a(x-c)+2b^2))$
   
   Mat. Model., 16:1 (2004),  75–89
5. 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
6. Introduction to family algebras
   
   Mosc. Math. J., 1:1 (2001),  49–63
7. 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
8. On the Combinatorics of Coadjoint Orbits
   
   Funktsional. Anal. i Prilozhen., 27:1 (1993),  73–75
9. Covariants of the symmetric group and its analogs in Weyl algebras
   
   Funktsional. Anal. i Prilozhen., 24:3 (1990),  9–13
10. On identities in Lie algebras of vector fields
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 2,  11–13
11. Introduction to representation theory and noncommutative harmonic analysis
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 22 (1988),  5–162
12. 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
13. Kähler structures on $K$-orbits of the group of diffeomorphisms of a circle
    
    Funktsional. Anal. i Prilozhen., 21:2 (1987),  42–45
14. 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
15. Geometric quantization
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 4 (1985),  141–176
16. Polynomial covariants of the symmetric group and some of its analogs
    
    Funktsional. Anal. i Prilozhen., 18:1 (1984),  74–75
17. 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
18. Orbits of the group of diffeomorphisms of a circle and local Lie superalgebras
    
    Funktsional. Anal. i Prilozhen., 15:2 (1981),  75–76
19. Invariant operators over geometric quantities
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 16 (1980),  3–29
20. Invariant differential operators on geometrical quantities
    
    Funktsional. Anal. i Prilozhen., 11:2 (1977),  39–44
21. Local Lie algebras
    
    Uspekhi Mat. Nauk, 31:4(190) (1976),  57–76
22. Structures of Lie algebra that have the locality property
    
    Funktsional. Anal. i Prilozhen., 9:2 (1975),  75–76
23. Representations of an infinite dimensional unitary group
    
    Dokl. Akad. Nauk SSSR, 212:2 (1973),  288–290
24. Characters of the unitary representations of Lie groups: Reduction theorems
    
    Funktsional. Anal. i Prilozhen., 3:1 (1969),  36–47
25. The structure of the lie field connected with a split semisimple lie algebra
    
    Funktsional. Anal. i Prilozhen., 3:1 (1969),  7–26
26. The structure of the quotient sfield of the enveloping algebra of a semisimple Lie algebra
    
    Dokl. Akad. Nauk SSSR, 180:4 (1968),  775–777
27. The characters of unitary representations of Lie groups
    
    Funktsional. Anal. i Prilozhen., 2:2 (1968),  40–55
28. Method of orbits in the theory of unitary representations of Lie groups
    
    Funktsional. Anal. i Prilozhen., 2:1 (1968),  96–98
29. Sfields generated by matrices with independent elements
    
    Uspekhi Mat. Nauk, 23:1(139) (1968),  227–228
30. Plancherel measure for nilpotent Lie groups
    
    Funktsional. Anal. i Prilozhen., 1:4 (1967),  84–85
31. Certain division algebras over a field of rational functions
    
    Funktsional. Anal. i Prilozhen., 1:1 (1967),  101–102
32. Dynamical systems, factors and representations of groups
    
    Uspekhi Mat. Nauk, 22:5(137) (1967),  67–80
33. 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. On fields connected with the enveloping algebras of Lie algebras
    
    Dokl. Akad. Nauk SSSR, 167:3 (1966),  503–505
35. Positive-definite functions on a group of matrices with elements from a discrete field
    
    Dokl. Akad. Nauk SSSR, 162:3 (1965),  503–505
36. 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
37. Infinite-dimensional representations of the complete matrix group
    
    Dokl. Akad. Nauk SSSR, 144:1 (1962),  37–39
38. Unitary representations of nilpotent Lie groups
    
    Uspekhi Mat. Nauk, 17:4(106) (1962),  57–110
39. Unitary representations of nilpotent Lie groups
    
    Dokl. Akad. Nauk SSSR, 138:2 (1961),  283–284
40. A problem of I. M. Gel'fand
    
    Dokl. Akad. Nauk SSSR, 137:2 (1961),  276–277
41. On unitary representations of nilpotent Lie groups
    
    Dokl. Akad. Nauk SSSR, 130:5 (1960),  966–968
42. 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


43. Grigori Iosifovich Olshanski (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 74:3(447) (2019),  193–213
44. Alexei Bronislavovich Sossinsky turns 80
    
    Mosc. Math. J., 17:3 (2017),  555–558
45. Georgy Maksimovich Adelson-Velsky (obituary)
    
    Uspekhi Mat. Nauk, 69:4(418) (2014),  169–176
46. Anatolii Moiseevich Vershik (on his 80th birthday)
    
    Uspekhi Mat. Nauk, 69:1(415) (2014),  173–186
47. Rais Sal'manovich Ismagilov (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 68:4(412) (2013),  185–190
48. Sabir Medgidovich Gusein-Zade
    
    Mosc. Math. J., 10:4 (2010),  831–832
49. Oleg Sheinman
    
    Mosc. Math. J., 9:3 (2009),  723–724
50. Mark Iosifovich Graev (to his 85th brithday)
    
    Uspekhi Mat. Nauk, 63:1(379) (2008),  169–182
51. Anatolii Moiseevich Vershik (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 49:3(297) (1994),  195–204
52. Robert Adol'fovich Minlos (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 47:1(283) (1992),  225–226
53. School-Seminar “Group Presentations in Physics”
    
    Uspekhi Mat. Nauk, 44:6(270) (1989),  171–172
54. Roland L'vovich Dobrushin (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 44:6(270) (1989),  161–162
55. Izrail' Moiseevich Gel'fand (on his seventieth birthday)
    
    Uspekhi Mat. Nauk, 38:6(234) (1983),  137–152
56. Feliks Aleksandrovich Berezin (obituary)
    
    Uspekhi Mat. Nauk, 36:4(220) (1981),  185–190
57. Differential-geometric methods in mathematical physics
    
    Uspekhi Mat. Nauk, 36:1(217) (1981),  237–239
58. Georgii Isaakovich Kats (obituary)
    
    Uspekhi Mat. Nauk, 34:2(206) (1979),  185–188
59. Errata
    
    Uspekhi Mat. Nauk, 32:1(193) (1977),  268
60. Second School-Seminar “Group Presentations and Their Applications”
    
    Uspekhi Mat. Nauk, 31:2(188) (1976),  263–264
61. On First All-Union Mathematical Competition for Students
    
    Uspekhi Mat. Nauk, 30:4(184) (1975),  281–288
62. The work of I. M. Gel'fand on functional analysis, algebra and topology
    
    Uspekhi Mat. Nauk, 29:1(175) (1974),  195–223
63. School-Seminar “Group Presentations and Their Applications”
    
    Uspekhi Mat. Nauk, 28:4(172) (1973),  235–236
64. All-Union Symposium on Theory of Holomorphic Functions of Several Complex Variables
    
    Uspekhi Mat. Nauk, 25:1(151) (1970),  219–220
65. Second Summer Topological School
    
    Uspekhi Mat. Nauk, 21:2(128) (1966),  257–258
66. Symposium on Algebraic Groups and Their Representations
    
    Uspekhi Mat. Nauk, 19:1(115) (1964),  225–228
67. Dynamical systems at the Stockholm Mathematical Congress
    
    Uspekhi Mat. Nauk, 18:2(110) (1963),  189–196