Representation Theoretical Meaning of the Initial Value Problem for the Toda Lattice Hierarchy II | Zendy

Takashi Takebe | Zendy

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Representation Theoretical Meaning of the Initial Value Problem for the Toda Lattice Hierarchy II

Author(s) -

Takashi Takebe

Publication year - 1991

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195169665

Subject(s) - mathematics , toda lattice , hierarchy , lattice (music) , representation (politics) , meaning (existential) , pure mathematics , statistical physics , epistemology , integrable system , physics , philosophy , political science , acoustics , politics , law

The Toda lattice hierarchy is shown to have the Bruhat decomposition of the A8 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.

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