Perelomov Askol'd Mikhailovich

Publications in Math-Net.Ru

1. Euler's difference table and the decomposition of tensor powers of the adjoint representation of the $A_n$ Lie algebra
   
   TMF, 213:3 (2022),  413–417
2. Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero–Sutherland model related to the exceptional algebra $E_7$
   
   TMF, 154:2 (2008),  283–293
3. Hypergeometric Solutions of Some Algebraic Equations
   
   TMF, 140:1 (2004),  3–13
4. Kovalevskaya Top: An Elementary Approach
   
   TMF, 131:2 (2002),  197–205
5. Derivatives of Generalized Gegenbauer Polynomials
   
   TMF, 131:2 (2002),  194–196
6. A remark on the matrix Airy function
   
   TMF, 123:2 (2000),  308–310
7. Diophantine equations related to quasicrystals: A note
   
   TMF, 115:3 (1998),  477–480
8. On a problem posed by Pauli
   
   TMF, 101:1 (1994),  60–65
9. Complex geometry and string theory
   
   Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 54 (1989),  197–279
10. Some examples of instantons in sigma models
    
    TMF, 79:2 (1989),  185–197
11. Ricci-flat compactifications in superstring theory and coxeter automorphisms. II
    
    TMF, 77:3 (1988),  352–368
12. Ricci-flat compactifications in superstring theory and Coxeter automorphisms. I
    
    TMF, 77:2 (1988),  212–223
13. Kähler–Einstein metrics in holomorphic bundles
    
    Funktsional. Anal. i Prilozhen., 21:2 (1987),  66–67
14. Integrable systems. II
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 16 (1987),  86–226
15. Invariant Kähler–Einstein metrics on compact homogeneous spaces
    
    Funktsional. Anal. i Prilozhen., 20:3 (1986),  1–16
16. Construction of canonical coordinates on orbits of the coadjoint representation of graded Lie groups
    
    Funktsional. Anal. i Prilozhen., 18:3 (1984),  80–81
17. A Lax representation for systems of S. Kovalevskaya type
    
    Funktsional. Anal. i Prilozhen., 16:2 (1982),  80–81
18. Some remarks on the integrability of the equations of motion of a rigid body in an ideal fluid
    
    Funktsional. Anal. i Prilozhen., 15:2 (1981),  83–85
19. Solutions of the instanton type in chiral models
    
    UFN, 134:4 (1981),  577–609
20. Group theoretic interpretation of equations of Korteweg - de Vries type
    
    Funktsional. Anal. i Prilozhen., 14:2 (1980),  50–51
21. The Toda chain as a reduced system
    
    TMF, 45:1 (1980),  3–18
22. Quantum systems related to root systems, and radial parts of Laplace operators
    
    Funktsional. Anal. i Prilozhen., 12:2 (1978),  57–65
23. Explicit solutions of some completely integrable Hamiltonian systems
    
    Funktsional. Anal. i Prilozhen., 11:1 (1977),  75–76
24. Generalized coherent states and some of their applications
    
    UFN, 123:1 (1977),  23–55
25. Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized calogero model for the classical case
    
    Funktsional. Anal. i Prilozhen., 10:3 (1976),  86–87
26. Coherent states for groups of motions of symmetric spaces
    
    Dokl. Akad. Nauk SSSR, 218:3 (1974),  547–549
27. Creation of fermion pairs in a homogeneous alternating external field
    
    TMF, 19:1 (1974),  83–96
28. Coherent states for the Lobachevskian plane
    
    Funktsional. Anal. i Prilozhen., 7:3 (1973),  57–66
29. Boson pair production in an alternating external field
    
    TMF, 16:3 (1973),  303–314
30. Variational principle for critical charge
    
    TMF, 14:1 (1973),  18–26
31. Coherent states and bounded homogeneous domains
    
    Dokl. Akad. Nauk SSSR, 207:6 (1972),  1303–1305
32. Coherent states and theta functions
    
    Funktsional. Anal. i Prilozhen., 6:4 (1972),  47–57
33. Algebraic approach to the solution of a one-dimensional model of $N$ interacting particles
    
    TMF, 6:3 (1971),  364–391
34. On the completeness of a system of coherent states
    
    TMF, 6:2 (1971),  213–224
35. “Fall to the center” in quantum mechanics
    
    TMF, 4:1 (1970),  48–65
36. Method of generating functions for a quantum oscillator
    
    TMF, 3:3 (1970),  377–391
37. Group-theoretical aspects of the variable frequency oscillator problem
    
    TMF, 1:3 (1969),  360–374
38. “Latent” symmetry of Kepler's relativistic problem
    
    Dokl. Akad. Nauk SSSR, 181:2 (1968),  320–323
39. Casimir operators for semisimple Lie groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 32:6 (1968),  1368–1390
40. A generating function for Casimir operators
    
    Dokl. Akad. Nauk SSSR, 174:5 (1967),  1021–1023
41. Casimir operators for the classical groups
    
    Dokl. Akad. Nauk SSSR, 174:2 (1967),  287–290
42. Possible determination of additional characteristics of an unstable particle
    
    Dokl. Akad. Nauk SSSR, 146:1 (1962),  75–78


43. A Note on Geodesics on Ellipsoid
    
    Regul. Chaotic Dyn., 5:1 (2000),  89–94