Lyakhovsky Vladimir Dmitrievich

Publications in Math-Net.Ru

1. Chebyshev polynomials and the proper decomposition of functions
   
   TMF, 200:2 (2019),  259–268
2. Numerical constructions involving Chebyshev polynomials
   
   TMF, 190:2 (2017),  354–365
3. Generalized Pascal's triangles and singular elements of modules of Lie algebras
   
   TMF, 185:1 (2015),  139–150
4. Splints of root systems for special Lie subalgebras
   
   TMF, 185:1 (2015),  127–138
5. Chebyshev polynomials for a three-dimensional algebra
   
   TMF, 185:1 (2015),  118–126
6. Multivariate Chebyshev polynomials in terms of singular elements
   
   TMF, 175:3 (2013),  419–428
7. Properties of maximums of the multiplicity function
   
   TMF, 174:1 (2013),  99–108
8. Multiplicity function for tensor powers of modules of the $A_n$ algebra
   
   TMF, 171:2 (2012),  283–293
9. Fan, splint, and branching rules
   
   Zap. Nauchn. Sem. POMI, 398 (2012),  162–178
10. Recursive properties of branching and BGG resolution
    
    TMF, 169:2 (2011),  218–228
11. Folded fans and string functions
    
    Zap. Nauchn. Sem. POMI, 374 (2010),  197–212
12. On the properties of branching coefficients for affine Lie groups
    
    Algebra i Analiz, 21:2 (2009),  52–70
13. String Functions for Affine Lie Algebras Integrable Modules
    
    SIGMA, 4 (2008), 085, 18 pp.
14. Parabolic twists for linear algebras $A_{n-1}$
    
    Zap. Nauchn. Sem. POMI, 347 (2007),  187–213
15. Quantum duality in quantum deformations
    
    TMF, 148:1 (2006),  112–125
16. On classical $r$-matrices with parabolic carrier
    
    Zap. Nauchn. Sem. POMI, 317 (2004),  122–141
17. Full chains of twists for symplectic algebras
    
    Algebra i Analiz, 14:3 (2002),  27–54
18. The role of solvable groups in quantization of Lie algebras
    
    Zap. Nauchn. Sem. POMI, 209 (1994),  168–178
19. Spinor structures on homogeneous spaces
    
    TMF, 92:1 (1992),  13–23
20. Branching rules for representations of classical Lie groups
    
    TMF, 84:1 (1990),  3–12
21. De Witt–Schwinger coefficients for projective and Grassmann manifolds
    
    TMF, 83:1 (1990),  3–13
22. Rescaling of the metric, invariant operators, and spontaneous compactification
    
    TMF, 77:1 (1988),  88–96
23. Method of special embeddings for grand unification models
    
    TMF, 66:3 (1986),  350–359
24. Algebraic method of constructing and analyzing spontaneous compactification models
    
    TMF, 66:2 (1986),  206–215
25. Stability of semisimple superalgebras
    
    TMF, 38:1 (1979),  115–120