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Reshetikhin Nikolai Yur'evich

Publications in Math-Net.Ru

  1. On the asymptotics of multiplicities for large tensor product of representations of simple Lie algebras

    Zap. Nauchn. Sem. POMI, 509 (2021),  185–200
  2. Conformal limit for dimer models on the hexagonal lattice

    Zap. Nauchn. Sem. POMI, 473 (2018),  174–193
  3. Degenerately integrable systems

    Zap. Nauchn. Sem. POMI, 433 (2015),  224–245
  4. The birth of a random matrix

    Mosc. Math. J., 6:3 (2006),  553–566
  5. Semiquantum geometry

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 34 (2001),  217–236
  6. Formulas for multiplicities of occurrence of irreducible components into the tensor product of representations of simple Lie algebras

    Zap. Nauchn. Sem. POMI, 205 (1993),  30–37
  7. Quasitriangular Hopf algebras and invariants of links

    Algebra i Analiz, 1:2 (1989),  169–188
  8. Quantization of Lie groups and Lie algebras

    Algebra i Analiz, 1:1 (1989),  178–206
  9. Multiplicity of weights in irreducibile tensor representations of a complete linear superalgebra

    Funktsional. Anal. i Prilozhen., 22:4 (1988),  84–85
  10. Bethe-ansats for $SO(N)$-invariant transfermatrices

    Zap. Nauchn. Sem. LOMI, 169 (1988),  122–140
  11. Representation of Yangians and multiplicities of occurrence of irreducible components of the tensor product of simple algebras

    Zap. Nauchn. Sem. LOMI, 160 (1987),  211–221
  12. Bethe ansatz and combinatorics of Young tableaux

    Zap. Nauchn. Sem. LOMI, 155 (1986),  65–115
  13. Combinatorics Bethe ansats and representations of symmetric group

    Zap. Nauchn. Sem. LOMI, 155 (1986),  50–64
  14. Calculation of Bethe vectors norms for models with $SU(3)$-symmetry

    Zap. Nauchn. Sem. LOMI, 150 (1986),  196–213
  15. Field carrelation functions for the one-dimensional Bose gas

    Zap. Nauchn. Sem. LOMI, 150 (1986),  26–36
  16. Integrable models of quantum one-dimensional magnets with $O(n)$ and $Sp(2k)$ symmetry

    TMF, 63:3 (1985),  347–366
  17. Hamiltonian structures for integrable field theory models. II. Models with $O(n)$ and $Sp(2k)$ symmetry on a one-dimensional lattice

    TMF, 63:2 (1985),  197–207
  18. On the properties of integral kernels for the $XXZ$–model of arbitrary spin

    Zap. Nauchn. Sem. LOMI, 146 (1985),  47–91
  19. A classification of string solutions of the Bethe equations for the $XXZ$ model of arbitrary spin

    Zap. Nauchn. Sem. LOMI, 146 (1985),  31–46
  20. Exact solution of the $XXZ$ Heisenberg model of spin $S$

    Zap. Nauchn. Sem. LOMI, 145 (1985),  109–133
  21. Integrable fermion chiral models, connected with the classical Lie algebras

    Zap. Nauchn. Sem. LOMI, 133 (1984),  146–159
  22. Hamiltonian structures for integrable models of field theory

    TMF, 56:3 (1983),  323–343
  23. Excitation spectrum of the anisotropic generalization of an $SU_3$ magnet

    TMF, 56:2 (1983),  260–271
  24. Quantum Floquet functions

    Zap. Nauchn. Sem. LOMI, 131 (1983),  128–141
  25. Exactly solvable quantum-meehanical systems on the lattices associated with the classical Lie algebras

    Zap. Nauchn. Sem. LOMI, 123 (1983),  112–125
  26. On $GL_3$-invariant solutions to the Yang–Baxter equation and the assosiated quantum systems

    Zap. Nauchn. Sem. LOMI, 120 (1982),  92–121
  27. Quantum linear problem for the sine-Gordon equation and higher representations

    Zap. Nauchn. Sem. LOMI, 101 (1981),  101–110

  28. Ludwig Dmitrievich Faddeev (obituary)

    Uspekhi Mat. Nauk, 72:6(438) (2017),  191–196


© Steklov Math. Inst. of RAS, 2025