The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies (Q1078311)

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scientific article; zbMATH DE number 3959726
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The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies
scientific article; zbMATH DE number 3959726

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    The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies (English)
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    1986
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    The bosonic Fock space representations of the Virasoro algebra with central charge \(c=1\) are investigated and related with the irreducible highest weight modules classified by V. Kac. In a second part, the relation between the tensor product of Fock representations and the modified Kadomtsev-Petviashvili hierarchies is discussed.
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    oscillator representations
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    bosonic Fock space representations
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    Virasoro algebra
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    highest weight modules
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    Kadomtsev-Petviashvili hierarchies
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