Quasigraded Lie Algebras and Modified Toda Field Equations

被引：7
|
作者：
Skrypnyk, Taras V. [1 ,2 ]
机构：
[1] Bogolyubov Inst Theoret Phys, UA-03143 Kiev, Ukraine
[2] Ukrainian Acad Sci, Inst Math, UA-01601 Kiev 4, Ukraine
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2006年 / 2卷
关键词：
infinite-dimensional Lie algebras; soliton equations;
D O I：
10.3842/SIGMA.2006.043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a family of quasigraded Lie algebras that coincide with the deformations of the loop algebras in "principal" gradation and admit Kostant-Adler-Symes scheme. Using them we obtain new Volterra coupled systems and modified Toda field equations for all series of classical matrix Lie algebras g.
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页数：14
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