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Leznov, Andrei Nikolaevich
Statistics Math-Net.Ru
Total publications: 28
Scientific articles: 28

Number of views:
This page:3455
Abstract pages:10701
Full texts:4089
References:1508
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https://www.mathnet.ru/eng/person20650
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/196189

Publications in Math-Net.Ru Citations
2002
1. A. N. Leznov, “Discrete Symmetries of the $n$-Wave Problem”, TMF, 132:1 (2002),  74–89  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 132:1 (2002), 955–969  isi 2
2001
2. A. N. Leznov, “Invariant Form of the Generators of Semisimple Lie and Quantum Algebras in Their Arbitrary Finite-Dimensional Representation”, TMF, 126:3 (2001),  370–392  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 126:3 (2001), 307–325  isi
2000
3. A. N. Leznov, “A new approach to the representation theory of semisimple Lie algebras and quantum algebras”, TMF, 123:2 (2000),  264–284  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 123:2 (2000), 633–650  isi 3
4. A. N. Leznov, “Graded Lie algebras, representation theory, integrable mappings, and integrable systems”, TMF, 122:2 (2000),  251–271  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 122:2 (2000), 211–228  isi 16
1998
5. A. N. Leznov, “Integrable two-dimensional ultra-Toda mappings and chains”, TMF, 117:1 (1998),  107–122  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 117:1 (1998), 1194–1207  isi 5
1987
6. A. N. Leznov, “Equivalence of four-dimensional self-duality equations and the continuum analog of the principal chiral field problem”, TMF, 73:2 (1987),  302–307  mathnet  mathscinet; Theoret. and Math. Phys., 73:2 (1987), 1233–1237  isi 36
7. A. N. Leznov, “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  mathnet  mathscinet; Theoret. and Math. Phys., 71:3 (1987), 598–605  isi 4
8. A. N. Leznov, M. A. Mukhtarov, “Internal symmetry algebra of exactly integrable dynamical systems in the quantum domain”, TMF, 71:1 (1987),  46–53  mathnet  mathscinet; Theoret. and Math. Phys., 71:1 (1987), 370–375  isi 5
1985
9. A. N. Leznov, V. I. Man'ko, S. M. Chumakov, “Symmetries and soliton solutions of nonlinear equations”, TMF, 63:1 (1985),  50–63  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 63:1 (1985), 356–365  isi 2
1984
10. A. N. Leznov, “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  mathnet  mathscinet  zmath; Funct. Anal. Appl., 18:4 (1984), 337–339  isi
11. A. N. Leznov, M. V. Saveliev, “Nonlinear equations and graded Lie algebras”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 22 (1984),  101–136  mathnet  mathscinet  zmath; J. Soviet Math., 36:6 (1987), 699–721 10
12. A. N. Leznov, M. V. Saveliev, “Two-dimensional supersymmetric nonlinear equations associated with embeddings of the subsuperalgebra $\mathrm{osp}(1,2)$ in lie superalgebras”, TMF, 61:1 (1984),  150–154  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 61:1 (1984), 1056–1059  isi 10
13. A. N. Leznov, “The inverse scattering method in a form invariant with respect to representations of the internal symmetry algebra”, TMF, 58:1 (1984),  156–160  mathnet  mathscinet; Theoret. and Math. Phys., 58:1 (1984), 103–106  isi 12
1983
14. A. N. Leznov, M. V. Saveliev, “Two-dimensional nonlinear equations of the string type and their complete integration”, TMF, 54:3 (1983),  323–337  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 54:3 (1983), 209–218  isi 6
1982
15. A. N. Leznov, I. A. Fedoseev, “Explicitly integrable models of quantum field theory with exponential interaction in two-dimensional space”, TMF, 53:3 (1982),  358–373  mathnet  mathscinet; Theoret. and Math. Phys., 53:3 (1982), 1175–1185  isi 12
16. A. N. Leznov, V. G. Smirnov, A. B. Shabat, “The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems”, TMF, 51:1 (1982),  10–21  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 51:1 (1982), 322–330  isi 72
1981
17. A. N. Leznov, M. V. Saveliev, V. G. Smirnov, “Theory of group representations and integration of nonlinear dynamical systems”, TMF, 48:1 (1981),  3–12  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 48:1 (1981), 565–571  isi 25
18. A. N. Leznov, M. V. Saveliev, V. G. Smirnov, “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  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 47:2 (1981), 417–422  isi 6
1980
19. A. N. Leznov, M. V. Saveliev, “Two-dimensional nonlinear system of differential equations $x_{\alpha,z\overline{z}}=\exp(kx)_\alpha$”, Funktsional. Anal. i Prilozhen., 14:3 (1980),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 14:3 (1980), 238–240  isi 1
20. A. N. Leznov, “On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space”, TMF, 42:3 (1980),  343–349  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 42:3 (1980), 225–229  isi 55
1977
21. Yu. M. Zinoviev, A. N. Leznov, M. V. Saveliev, “Solutions of classical gause field theory equations with an arbitrary value of the topological charge”, TMF, 32:3 (1977),  424–430  mathnet; Theoret. and Math. Phys., 32:3 (1977), 837–841 1
22. A. N. Leznov, M. V. Saveliev, “Projection operators for semisimple Lie groups”, TMF, 31:2 (1977),  273–274  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 31:2 (1977), 456–457
1974
23. A. N. Leznov, M. V. Saveliev, “A parametrization of compact groups”, Funktsional. Anal. i Prilozhen., 8:4 (1974),  87–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 8:4 (1974), 347–348 12
1971
24. A. N. Leznov, M. V. Saveliev, “Plancherel measure of the principal continuous series of unitary representations of $U(p, q)$”, TMF, 8:2 (1971),  161–174  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 82:2 (1971), 743–753
25. A. N. Leznov, I. A. Fedoseev, “Representations of noncompact symplectic groups”, TMF, 7:3 (1971),  298–317  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 7:3 (1971), 546–560 1
1970
26. A. N. Leznov, I. A. Fedoseev, “Unitary representations of the conformal group”, TMF, 5:2 (1970),  181–189  mathnet  zmath; Theoret. and Math. Phys., 5:2 (1970), 1072–1079 2
27. A. N. Leznov, M. V. Saveliev, “Characters of the irreducible representations of the pseudounitary group $U(p,q)$. II”, TMF, 4:3 (1970),  310–321  mathnet; Theoret. and Math. Phys., 4:3 (1970), 854–862 1
28. A. N. Leznov, M. V. Saveliev, “Representation of noncompact groups $U(p,q)$. I”, TMF, 2:3 (1970),  311–327  mathnet; Theoret. and Math. Phys., 2:3 (1970), 224–235 4

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