RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
 
Sklyanin Evgeny Konstantinovich

Statistics Math-Net.Ru
Total publications: 21
Scientific articles: 20
Presentations: 1

Number of views:
This page:1074
Abstract pages:7328
Full texts:2591
References:259
Doctor of physico-mathematical sciences
Birth date: 24.05.1955
E-mail:
Website: http://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

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

Publications in Math-Net.Ru
1. Scientific heritage of L. D. Faddeev. Survey of papers
L. A. Takhtajan, A. Yu. Alekseev, I. Ya. Aref'eva, M. A. Semenov-Tian-Shansky, E. K. Sklyanin, F. A. Smirnov, S. L. Shatashvili
Uspekhi Mat. Nauk, 72:6(438) (2017),  3–112
2. Quantization of the Kadomtsev–Petviashvili equation
K. K. Kozlowski, E. K. Sklyanin, A. Torrielli
TMF, 192:2 (2017),  259–283
3. Integrable Hierarchy of the Quantum Benjamin–Ono Equation
Maxim Nazarov, Evgeny Sklyanin
SIGMA, 9 (2013), 078
4. Bäcklund Transformation for the BC-Type Toda Lattice
Vadim Kuznetsov, Evgeny Sklyanin
SIGMA, 3 (2007), 080
5. Canonicity of Bäcklund Transformation: $r$-Matrix Approach. II
E. K. Sklyanin
Tr. Mat. Inst. Steklova, 226 (1999),  134–139
6. Dynamic $r$-matrices for the elliptic Calogero–Moser model
E. K. Sklyanin
Algebra i Analiz, 6:2 (1994),  227–237
7. Separation of variables in the quantum integrable models related to the Yangian $\mathcal Y[sl(3)]$
E. K. Sklyanin
Zap. Nauchn. Sem. POMI, 205 (1993),  166–178
8. Quantization of integrable models in infinite volume. The nonlinear Schrödinger equation
E. K. Sklyanin
Algebra i Analiz, 1:2 (1989),  189–206
9. Boundary conditions for integrable equations
E. K. Sklyanin
Funktsional. Anal. i Prilozhen., 21:2 (1987),  86–87
10. Separation of variables in the Gaudin model
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 164 (1987),  151–169
11. Poisson structure of classical $XXZ$-chain
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 161 (1987),  88–97
12. On the Poisson structure of the periodic classical $XYZ$-chain
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 150 (1986),  154–180
13. On the classical limits of the $SU(2)$-invariant solutions to the Yang-Baxter equation
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 146 (1985),  119–136
14. The Goryachov–Chaplygin top and the inverse scattering method
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 133 (1984),  236–257
15. Some algebraic structures connected with the Yang–Baxter equation. Representations of quantum algebras
E. K. Sklyanin
Funktsional. Anal. i Prilozhen., 17:4 (1983),  34–48
16. Some algebraic structures connected with the Yang–Baxter equation
E. K. Sklyanin
Funktsional. Anal. i Prilozhen., 16:4 (1982),  27–34
17. Solutions of the Yang-Baxter equation
P. P. Kulish, E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 95 (1980),  129–160
18. Quantum version of the method of inverse scattering problem
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 95 (1980),  55–128
19. Quantum inverse problem method. I
E. K. Sklyanin, L. A. Takhtadzhyan, L. D. Faddeev
TMF, 40:2 (1979),  194–220
20. A class of potentials for the nonstationary Dirac equation
E. K. Sklyanin
Zap. Nauchn. Sem. LOMI, 77 (1978),  214–226

21. Ludwig Dmitrievich Faddeev (obituary)
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
Uspekhi Mat. Nauk, 72:6(438) (2017),  191–196

Presentations in Math-Net.Ru
1. 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

Organisations
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2018