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