GRADED R-MATRICES FOR INTEGRABLE SYSTEMS

被引：18

作者：

AVAN, J ^{[1
]}

TALON, M ^{[1
]}

机构：

[1] UNIV PARIS 07, LPTHE, CNRS, UA 280, F-75252 PARIS 05, FRANCE

来源：

NUCLEAR PHYSICS B | 1991年 / 352卷 / 01期

关键词：

D O I：

10.1016/0550-3213(91)90135-K

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present here the construction of non-skew-symmetric classical R-matrices with a finite number of poles associated with graded Lie algebras, using a generalized version of the mean procedure of Faddeev-Reshetikhin. Examples of the corresponding integrable systems in classical mechanics and field theory are introduced. A universal canonical realization of these structures is then given. The interpretation of these R-matrices as regularizations of the trigonometric R-matrices, and some extensions of this construction, in particular to elliptic R-matrices, are also described.

引用

页码：215 / 249

页数：35

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