Leznov Andrei Nikolaevich

Publications in Math-Net.Ru

1. Discrete Symmetries of the $n$-Wave Problem
   
   TMF, 132:1 (2002),  74–89
2. Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation
   
   TMF, 126:3 (2001),  370–392
3. A new approach to the representation theory of semisimple Lie algebras and quantum algebras
   
   TMF, 123:2 (2000),  264–284
4. Graded Lie algebras, representation theory, integrable mappings, and integrable systems
   
   TMF, 122:2 (2000),  251–271
5. Integrable two-dimensional ultra-Toda mappings and chains
   
   TMF, 117:1 (1998),  107–122
6. Equivalence of four-dimensional self-duality equations and the continuum analog of the principal chiral field problem
   
   TMF, 73:2 (1987),  302–307
7. Simplest soliton solutions of the equations of the periodic Toda chain of the series $A_k$ in the formalism of the scalar $L$–$A$ pair
   
   TMF, 71:3 (1987),  370–380
8. Internal symmetry algebra of exactly integrable dynamical systems in the quantum domain
   
   TMF, 71:1 (1987),  46–53
9. Symmetries and soliton solutions of nonlinear equations
   
   TMF, 63:1 (1985),  50–63
10. Bargmann's generalized potentials and soliton solutions of equations of toda periodic lattice of the series $A_k$
    
    Funktsional. Anal. i Prilozhen., 18:4 (1984),  83–85
11. Nonlinear equations and graded Lie algebras
    
    Itogi Nauki i Tekhn. Ser. Mat. Anal., 22 (1984),  101–136
12. Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras
    
    TMF, 61:1 (1984),  150–154
13. The inverse scattering method in a form invariant with respect to representations of the internal symmetry algebra
    
    TMF, 58:1 (1984),  156–160
14. Two-dimensional nonlinear equations of the string type and their complete integration
    
    TMF, 54:3 (1983),  323–337
15. Explicitly integrable models of quantum field theory with exponential interaction in two-dimensional space
    
    TMF, 53:3 (1982),  358–373
16. The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems
    
    TMF, 51:1 (1982),  10–21
17. Theory of group representations and integration of nonlinear dynamical systems
    
    TMF, 48:1 (1981),  3–12
18. General solutions of the two-dimensional system of Volterra equations which realize the Bäcklund transformation for the Toda lattice
    
    TMF, 47:2 (1981),  216–224
19. Two-dimensional nonlinear system of differential equations $x_{\alpha,z\overline{z}}=\exp(kx)_\alpha$
    
    Funktsional. Anal. i Prilozhen., 14:3 (1980),  87–88
20. On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
    
    TMF, 42:3 (1980),  343–349
21. Solutions of classical gause field theory equations with an arbitrary value of the topological charge
    
    TMF, 32:3 (1977),  424–430
22. Projection operators for semisimple Lie groups
    
    TMF, 31:2 (1977),  273–274
23. A parametrization of compact groups
    
    Funktsional. Anal. i Prilozhen., 8:4 (1974),  87–88
24. Plancherel measure of the principal continuous series of unitary representations of $U(p, q)$
    
    TMF, 8:2 (1971),  161–174
25. Representations of noncompact symplectic groups
    
    TMF, 7:3 (1971),  298–317
26. Unitary representations of the conformal group
    
    TMF, 5:2 (1970),  181–189
27. Characters of the irreducible representations of the pseudounitary group $U(p,q)$. II
    
    TMF, 4:3 (1970),  310–321
28. Representation of noncompact groups $U(p,q)$. I
    
    TMF, 2:3 (1970),  311–327