Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy: I

Representation theoretical meaning of the initial value problem for the Toda lattice hierarchy: I
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户田格层次初值问题的表示理论意义:I

DOI:
10.1007/bf00414638
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发表时间:
1991
影响因子:
1.2
通讯作者:
T. Takebe
T. Takebe
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
T. Takebe

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证明了户田格族的参数空间是A∞群的Bruhat分解,而不是KP格族的Grassmann流形.高崎的工作的初始值问题的户田格层次从这个角度重新解释。
The Toda lattice hierarchy is shown to have the Bruhat decomposition of the A∞ group as its parameter space instead of the Grassmann manifold for the KP hierarchy. Takasaki's work on the initial value problem for the Toda lattice hierarchy is reinterpreted from this point of view.