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Tolstoy, Valeriy Nikolaevich
Statistics Math-Net.Ru
Total publications: 8
Scientific articles: 8

Number of views:
This page:3288
Abstract pages:3039
Full texts:1184
References:270
Candidate of physico-mathematical sciences (1973)
Speciality: 01.04.16 (Physics of nuclear and elementary particles)
Birth date: 13.11.1939
E-mail: ,
Keywords: representation theory, Lie algebras and superalgebras, Kac--Moody algebras and superalgebras, quantum algebras, Yangians, quantum deformation of algebras and superalgebras of relativistic symmetries.
UDC: 517

Subject:

Representation theory of Lie algebras and superalgebras and their different deformations and its application in physics.

Biography

Education: Moscow Physical Engineering Institute, 1963–1969.
Positions: Science Researcher of Moscow State University, 1969–1988. Senior Science Researcher of Moscow State University, 1988–1993. Leading Research Associate of Moscow State University, 1993 – up to now.
Dissertation: "Projection operators for simple Lie groups and their applications in problems of atomic nucleus theory", 1973, Moscow State University.
Number of publications: over 160. Number of citations: over 1700.
   
Main publications:
  1. S. M. Khoroshkin and V. N. Tolstoy, “Universal R-matrix for quantized (super)algebras”, Commun. Math. Phys., 141:3 (1991), 599–617  crossref  mathscinet  zmath  adsnasa
  2. J. Lukierski, H. Ruegg, A. Nowicki and V. N. Tolstoy, “$q$-deformation of Poincaré algebra”, Phys. Lett., B264:3-4 (1991), 331–338  crossref  mathscinet  adsnasa

https://www.mathnet.ru/eng/person22061
List of publications on Google Scholar

Publications in Math-Net.Ru Citations
2010
1. Raisa M. Asherova, Čestmír Burdík, Miloslav Havlíček, Yuri F. Smirnov, Valeriy N. Tolstoy, “$q$-Analog of Gelfand–Graev Basis for the Noncompact Quantum Algebra $U_q(u(n,1))$”, SIGMA, 6 (2010), 010, 13 pp.  mathnet  mathscinet  isi  scopus 3
1992
2. V. N. Tolstoy, S. M. Khoroshkin, “The universal $R$-matrix for quantum untwisted affine Lie algebras”, Funktsional. Anal. i Prilozhen., 26:1 (1992),  85–88  mathnet  mathscinet  zmath; Funct. Anal. Appl., 26:1 (1992), 69–71  isi 49
1989
3. V. N. Tolstoy, “Extremal projections for contragredient Lie algebras and superalgebras of finite growth”, Uspekhi Mat. Nauk, 44:1(265) (1989),  211–212  mathnet  mathscinet  zmath; Russian Math. Surveys, 44:1 (1989), 257–258  isi 16
1985
4. V. N. Tolstoy, “Extremal projections for reductive classical Lie superalgebras with a non-degenerate generalized Killing form”, Uspekhi Mat. Nauk, 40:4(244) (1985),  225–226  mathnet  mathscinet  zmath; Russian Math. Surveys, 40:4 (1985), 241–242  isi 9
1979
5. R. M. Asherova, Yu. F. Smirnov, V. N. Tolstoy, “Description of a class of projection operators for semisimple complex Lie algebras”, Mat. Zametki, 26:1 (1979),  15–25  mathnet  mathscinet  zmath; Math. Notes, 26:1 (1979), 499–504  isi 33
1973
6. R. M. Asherova, Yu. F. Smirnov, V. N. Tolstoy, “Projection operators for simple lie groups”, TMF, 15:1 (1973),  107–119  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 15:1 (1973), 392–401 21
1972
7. D. T. Sviridov, Yu. F. Smirnov, V. N. Tolstoy, “The construction of the wave functions of quantum systems with the symmetry of $G_2$”, Dokl. Akad. Nauk SSSR, 206:6 (1972),  1317–1320  mathnet  mathscinet 1
1971
8. R. M. Asherova, Yu. F. Smirnov, V. N. Tolstoy, “Projection operators for simple lie groups”, TMF, 8:2 (1971),  255–271  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 8:2 (1971), 813–825 32

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