| Lax表示的Kac—Moody代数结构 |
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| 引用本文： | 吴可,郭汉英,王世坤.Lax表示的Kac—Moody代数结构[J].物理学报,1984,33(2):256-259. |
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| 作者姓名： | 吴可 郭汉英 王世坤 |
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| 作者单位： | (1)中国科学院理论物理研究所; (2)中国科学院应用数学研究所 |
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| 摘 要： | 本文指出,非线性(演化)系统的广义Lax表示所取值的代数,即延拓代数y×D(λ),实质上是Kac-Moody代数。这里,y是一有限维李代数,D(λ)是谱参数λ的值域。本文并利用Dolan关于主手征模型Kac-Moody代数的实现,给出了一类1+1维非线性(演化)系统的Kac-Moody代数的实现。
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| 收稿时间： | 1983-04-23 |
KAC-MOODY ALGEBRA STRUCTURE IN LAX REPRESENTATION |
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| WU KE,GUO HAN-YING and WANG SHI-KUN.KAC-MOODY ALGEBRA STRUCTURE IN LAX REPRESENTATION[J].Acta Physica Sinica,1984,33(2):256-259. |
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| Authors: | WU KE GUO HAN-YING and WANG SHI-KUN |
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| Abstract: | It is shown that the algebra valued by the generalized Lax representation of nonlinear (evolution) system, i.e. the prolongation algebra y×D(λ), is in fact Kac-Moody type algebra where y is a finite dimensional Lie algebra and D(λ) the domain of value of the spectral parameter λ. The realization of the Kac-Moody algebra in a kind of 2 dimensional nonlinear (evolution) systems has been given by means of the realization of the Kac-Moody algebra in the principal chiral model due to Dolan. |
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