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Functional realization of basic representations of factorizable Lie groups and algebras - MaRDI portal

Functional realization of basic representations of factorizable Lie groups and algebras (Q1065917)

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scientific article; zbMATH DE number 3922919
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Functional realization of basic representations of factorizable Lie groups and algebras
scientific article; zbMATH DE number 3922919

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    Functional realization of basic representations of factorizable Lie groups and algebras (English)
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    1985
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    The main results with proofs of the author's notes devoted to the adèle approach in soliton theory and in the theory of Kac-Moody algebras are stated. The two definitions of the \(\tau\)-function as a spherical function (''matrix element'') and as modular co-form (''infinite determinant'') are given. The key result (variant of the Frobenius duality theorem) is its coincidence.
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    adèle approach in soliton theory
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    Kac-Moody algebras
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    \(\tau \) - function
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    spherical function
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    matrix element
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    infinite determinant
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