Специальность ВАК:
01.01.02 (дифференциальные уравнения, динамические системы и оптимальное управление)
Дата рождения:
17.01.1948
E-mail: , ,
Ключевые слова: интегрируемые системы,
группы и алгебры Ли,
теория представлений квантовые группы,
симплектическая геометрия.
Коды УДК: 512.4, 513.83
Основные темы научной работы:
Математическая физика.
Основные публикации:
Harmonic analysis on Riemannian symmetric spaces of nonpositive
curvature and scattering theory. Sov. Math. Izv., 40, 1976, p. 562–592.
Current algebras and partial differential equations (with A. G. Reyman). Sov. Math. Doklady, 21, 1980, p. 630–634.
What is a classical r-matrix? Funct Anal. Appl. 17, 1983, p. 259–272.
Dressing transformations and Poisson group actions. Publ. RIMS, Kyoto University, 21, 1985, p. 1237–1260.
The Kowalewski top 99 years later: a Lax pair, generalizations, and
explicit solutions (with A. I. Bobenko, A. G. Reyman). Commun. Math. Phys., 122, 1989, p. 321–354.
Central extensions of quantum current algebras (with N. Reshetikhin). Lett. Math. Phys., 19, 1990, 133–139.
Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems (with A. Reyman). Encyclopaedia of Mathematical Sciences, vol. 16. Dynamical Systems VII. Ch. 2. Springer-Verlag, 1994, pp. 116–225.
Quantization of Open Toda Lattices. Encyclopaedia of Mathematical
Sciences, vol. 16. Dynamical Systems VII. Ch. 3. Springer-Verlag, 1994, pp. 226–259.
Poisson Lie groups, quantum duality principle, and the quantum double. Contemporary Mathematics, 178, 219–248, 1994.
Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. I. The case of Virasoro algebra (with E. Frenkel, N. Reshetikhin), Commun. Math. Phys, 192 (1998), 605–629.
Drinfeld-Sokolov reduction for difference operators and deformations of W-algebras. II. General semisimple case (with A. Sevostyanov). Commun. Math. Phys. 192 (1998), 631–646.
Unitary representations of $U_q(sl(2,\mathbf{R}))$, the modular double and the multiparticle q-deformed Toda chains. (with S. Kharchev, D. Lebedev). Commun. Math. Phys., 225, 573–609, 2002.
Интегрируемые системы (теоретико-групповой подход). Москва-Ижевск 2003, 350 стр. (совм. с А. Г. Рейманом).