Integrable Systems and Finite-Dimensional Lie Algebras

M. A. Olshanetsky, A. M. Perelomov

Type: Book-Chapter

Publication Date: 1994-01-01

Citations: 13

DOI: https://doi.org/10.1007/978-3-662-06796-3_6

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Encyclopaedia of mathematical sciences - View

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+	Quantum and classical integrable systems	2007	Michael Semenov-Tian-Shansky
+	Jacobian variety and integrable system — after Mumford, Beauville and Vanhaecke	2006	Rei Inoue Yukiko Konishi Takao Yamazaki
+	Dynamics of Hamiltonian Systems	2015	Heinz Hanßmann
+ PDF Chat	Quantum Cohomology and the Periodic Toda Lattice	2001	Martin A. Guest Takashi Otofuji
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+	Edge Universality for Nonintersecting Brownian Bridges	2020	Jiaoyang Huang
+ PDF Chat	The Meromorphic Solutions of the Bruschi–Calogero Equation	2000	Nariya Kawazumi Youichi Shibukawa
+ PDF Chat	A NEW DESCRIPTION OF MOTION OF THE FERMIONIC <i>SO</i>(2<i>N</i>+2) TOP IN THE CLASSICAL LIMIT UNDER THE QUASI-ANTICOMMUTATION RELATION APPROXIMATION	2012	Seiya Nishiyama João da Providência Constança Providência
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+ PDF Chat	Classical<i>r</i>-matrices and the Feigin–Odesskii algebra via Hamiltonian and Poisson reductions	2003	H. W. Braden Vasiliy Dolgushev M. A. Olshanetsky A. Zotov

Works Cited by This (28)

Action	Title	Year	Authors
+	Integrable Systems of Classical Mechanics and Lie Algebras	1990	A. M. Perelomov
+ PDF Chat	The local structure of Poisson manifolds	1983	Alan Weinstein
+	Groupes et algèbres de Lie	1971	Nicolás Bourbaki
+	Integrable Many-Body Problems	1978	F. Calogero
+ PDF Chat	Kählerian Coset Spaces of Semisimple Lie Groups	1954	Armand Borel
+	Reduction of Hamiltonian systems, affine Lie algebras and Lax equations	1979	A. G. Reyman Michael Semenov-Tian-Shansky
+	Example of an algebraic curve in C2 such that its complement has fundamental group with elements of finite order	1980	Yu. V. Zyuzin
+	SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH	1968	Victor G. Kač
+	Integrable Hamiltonian systems connected with graded Lie algebras	1982	A. G. Reiman
+	The solution to a generalized Toda lattice and representation theory	1979	Bertram Kostant