R-MATRICES AND SYMMETRIC-SPACES

被引:3
作者
AVAN, J
MAILLARD, JM
TALON, M
机构
[1] Laboratoire de Physique Théorique et des Hautes Energies1 1 U.R.A. 280., Université Paris 6, F-75252 Paris Cedex 05, Tour 16, ler etage
关键词
D O I
10.1016/0370-2693(90)90966-A
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Non-antisymmetric R-matrices which play a central role in the description of the Poisson structure of integrable models, are investigated. A wide class of such solutions is described. They are associated with the symmetric Lie algebras constructed from simple Lie algebras. This extends the classification of skew-symmetric matrices achieved by Belavin and Drinfel'd. © 1990.
引用
收藏
页码:116 / 120
页数:5
相关论文
共 20 条
[1]   THE ADLER-VANMOERBEKE MODEL - LAX REPRESENTATION AND POISSON STRUCTURE [J].
AVAN, J ;
MAILLARD, JM ;
TALON, M .
PHYSICS LETTERS B, 1990, 240 (1-2) :145-148
[2]  
AVAN J, 1989, PARLPTHE8940 PREPR
[3]  
AVAN J, 1990, PARLPTHE9004 PREPR
[4]   HAMILTONIAN STRUCTURES AND LAX EQUATIONS [J].
BABELON, O ;
VIALLET, CM .
PHYSICS LETTERS B, 1990, 237 (3-4) :411-416
[5]  
BABELON O, IN PRESS INTEGRABLE
[6]  
BELAVIN AA, 1982, FUNCT ANAL APPL+, V16, P159
[7]  
BELAVIN AA, 1984, FUNCT ANAL APPL, V17, P20
[8]  
BELAVIN AA, 1984, SOV SCI REV C, V4, P93
[9]  
FADDEEV LD, 1983, THEOR MATH PHYS, V56, P323
[10]  
FADDEEV LD, 1986, HAMILTONIAN METHODS