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Sklyanin, Evgeny Konstantinovich
Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 22
Presentations: 2

Number of views:
This page:2594
Abstract pages:15684
Full texts:6875
References:682
Doctor of physico-mathematical sciences
Birth date: 24.05.1955
E-mail:
Website: https://maths.york.ac.uk/www/eks2
Keywords: integrable systems; separation of variables; quantum groups; Bethe Ansatz.

Subject:

Integrable models of quantum and classical mechanics and quantum field theory. Generalised separation of variables. Quantum groups.
   
Main publications:
  1. E. K. Sklyanin, “Kanonichnost preobrazovaniya Beklunda: $r$-matrichnyi podkhod. II”, Tr. MIAN, 226, 1999, 134–139  mathnet  mathscinet  zmath
  2. E. K. Sklyanin, “Granichnye usloviya dlya integriruemykh uravnenii”, Funkts. analiz i ego pril., 21:2 (1987), 86–87  mathnet  mathscinet  zmath
  3. E. K. Sklyanin, “O nekotorykh algebraicheskikh strukturakh, svyazannykh s uravneniem Yanga–Bakstera. Predstavleniya kvantovoi algebry”, Funkts. analiz i ego pril., 17:4 (1983), 34–48  mathnet  mathscinet  zmath
  4. E. K. Sklyanin, “O nekotorykh algebraicheskikh strukturakh, svyazannykh s uravneniem Yanga–Bakstera”, Funkts. analiz i ego pril., 16:4 (1982), 27–34  mathnet  mathscinet  zmath
  5. E. K. Sklyanin, L. A. Takhtadzhyan, L. D. Faddeev, “Kvantovyi metod obratnoi zadachi. I”, TMF, 40:2 (1979), 194–220  mathnet  mathscinet

https://www.mathnet.ru/eng/person24529
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/197743
https://elibrary.ru/author_items.asp?authorid=14205

Publications in Math-Net.Ru Citations
2017
1. L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili, “Scientific heritage of L. D. Faddeev. Survey of papers”, Uspekhi Mat. Nauk, 72:6(438) (2017),  3–112  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:6 (2017), 977–1081  isi  scopus 6
2. K. K. Kozlowski, E. K. Sklyanin, A. Torrielli, “Quantization of the Kadomtsev–Petviashvili equation”, TMF, 192:2 (2017),  259–283  mathnet  mathscinet  elib; Theoret. and Math. Phys., 192:2 (2017), 1162–1183  isi  scopus 3
2013
3. Maxim Nazarov, Evgeny Sklyanin, “Integrable Hierarchy of the Quantum Benjamin–Ono Equation”, SIGMA, 9 (2013), 078, 14 pp.  mathnet  mathscinet  isi  scopus 28
2007
4. Vadim Kuznetsov, Evgeny Sklyanin, “Bäcklund Transformation for the BC-Type Toda Lattice”, SIGMA, 3 (2007), 080, 17 pp.  mathnet  mathscinet  zmath  isi 11
1999
5. E. K. Sklyanin, “Canonicity of Bäcklund Transformation: $r$-Matrix Approach. II”, Trudy Mat. Inst. Steklova, 226 (1999),  134–139  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 226 (1999), 121–126 4
1994
6. E. K. Sklyanin, “Dynamic $r$-matrices for the elliptic Calogero–Moser model”, Algebra i Analiz, 6:2 (1994),  227–237  mathnet  mathscinet  zmath; St. Petersburg Math. J., 6:2 (1995), 397–406 15
1993
7. E. K. Sklyanin, “Separation of variables in the quantum integrable models related to the Yangian $\mathcal Y[sl(3)]$”, Zap. Nauchn. Sem. POMI, 205 (1993),  166–178  mathnet  mathscinet  zmath; J. Math. Sci., 80:3 (1996), 1861–1871 32
1989
8. E. K. Sklyanin, “Quantization of integrable models in infinite volume. The nonlinear Schrödinger equation”, Algebra i Analiz, 1:2 (1989),  189–206  mathnet  mathscinet  zmath; Leningrad Math. J., 1:2 (1990), 515–534
1987
9. E. K. Sklyanin, “Boundary conditions for integrable equations”, Funktsional. Anal. i Prilozhen., 21:2 (1987),  86–87  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:2 (1987), 164–166  isi 131
10. E. K. Sklyanin, “Separation of variables in the Gaudin model”, Zap. Nauchn. Sem. LOMI, 164 (1987),  151–169  mathnet  zmath 15
11. E. K. Sklyanin, “Poisson structure of classical $XXZ$-chain”, Zap. Nauchn. Sem. LOMI, 161 (1987),  88–97  mathnet  zmath 1
1986
12. E. K. Sklyanin, “On the Poisson structure of the periodic classical $XYZ$-chain”, Zap. Nauchn. Sem. LOMI, 150 (1986),  154–180  mathnet  zmath 1
1985
13. E. K. Sklyanin, “On the classical limits of the $SU(2)$-invariant solutions to the Yang-Baxter equation”, Zap. Nauchn. Sem. LOMI, 146 (1985),  119–136  mathnet  mathscinet  zmath 4
1984
14. E. K. Sklyanin, “The Goryachov–Chaplygin top and the inverse scattering method”, Zap. Nauchn. Sem. LOMI, 133 (1984),  236–257  mathnet  mathscinet  zmath 5
1983
15. E. K. Sklyanin, “Some algebraic structures connected with the Yang–Baxter equation. Representations of quantum algebras”, Funktsional. Anal. i Prilozhen., 17:4 (1983),  34–48  mathnet  mathscinet  zmath; Funct. Anal. Appl., 17:4 (1983), 273–284  isi 202
1982
16. E. K. Sklyanin, “Some algebraic structures connected with the Yang–Baxter equation”, Funktsional. Anal. i Prilozhen., 16:4 (1982),  27–34  mathnet  mathscinet  zmath; Funct. Anal. Appl., 16:4 (1982), 263–270  isi 365
1980
17. P. P. Kulish, E. K. Sklyanin, “Solutions of the Yang-Baxter equation”, Zap. Nauchn. Sem. LOMI, 95 (1980),  129–160  mathnet  mathscinet  zmath; J. Soviet Math., 19:5 (1982), 1596–1620 312
18. E. K. Sklyanin, “Quantum version of the method of inverse scattering problem”, Zap. Nauchn. Sem. LOMI, 95 (1980),  55–128  mathnet  mathscinet  zmath; J. Soviet Math., 19:5 (1982), 1546–1596 148
1979
19. E. K. Sklyanin, “The method of the inverse scattering problem and the quantum nonlinear Schrödinger equation”, Dokl. Akad. Nauk SSSR, 244:6 (1979),  1337–1341  mathnet  mathscinet 20
20. E. K. Sklyanin, L. A. Takhtadzhyan, L. D. Faddeev, “Quantum inverse problem method. I”, TMF, 40:2 (1979),  194–220  mathnet  mathscinet; Theoret. and Math. Phys., 40:2 (1979), 688–706  isi 578
1978
21. E. K. Sklyanin, L. D. Faddeev, “Quantum-mechanical approach to the entirely integrable models of the field theory”, Dokl. Akad. Nauk SSSR, 243:6 (1978),  1430–1433  mathnet 25
22. E. K. Sklyanin, “A class of potentials for the nonstationary Dirac equation”, Zap. Nauchn. Sem. LOMI, 77 (1978),  214–226  mathnet  mathscinet  zmath; J. Soviet Math., 22:5 (1983), 1685–1694 1
2017
23. I. Ya. Aref'eva, V. E. Zakharov, V. V. Kozlov, I. M. Krichever, V. P. Maslov, S. P. Novikov, A. M. Polyakov, N. Yu. Reshetikhin, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, L. A. Takhtajan, S. L. Shatashvili, “Ludwig Dmitrievich Faddeev (obituary)”, Uspekhi Mat. Nauk, 72:6(438) (2017),  191–196  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 72:6 (2017), 1157–1163  isi

Presentations in Math-Net.Ru
1. New linearization formula for $q$-ultraspherical polynomials
E. K. Sklyanin
Mathematical and Theoretical Physics, dedicated to Ludwig Faddeev
May 28, 2024 12:00   
2. Separation of variables and the method of the inverse problem
E. K. Sklyanin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
February 12, 1996

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