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

From MaRDI portal





scientific article; zbMATH DE number 3922919
Language Label Description Also known as
English
Functional realization of basic representations of factorizable Lie groups and algebras
scientific article; zbMATH DE number 3922919

    Statements

    Functional realization of basic representations of factorizable Lie groups and algebras (English)
    0 references
    1985
    0 references
    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.
    0 references
    adèle approach in soliton theory
    0 references
    Kac-Moody algebras
    0 references
    \(\tau \) - function
    0 references
    spherical function
    0 references
    matrix element
    0 references
    infinite determinant
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references