Functional realization of basic representations of factorizable Lie groups and algebras
type: Item
instance of: scholarly article
title: Functional realization of basic representations of factorizable Lie groups and algebras
zbMATH Open document ID: 0577.17011
DOI: 10.1007/BF01076619
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 17B65
Mathematics Subject Classification ID: 14L35
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 17B10
Mathematics Subject Classification ID: 35Q99
zbMATH DE Number: 3922919
zbMATH Keywords: adèle approach in soliton theory
zbMATH Keywords: Kac-Moody algebras
zbMATH Keywords: \(\tau \) - function
zbMATH Keywords: spherical function
zbMATH Keywords: matrix element
zbMATH Keywords: infinite determinant
author: Ivan Cherednik
MaRDI profile type: Publication
Wikidata QID: Q115394347
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full work available at URL: https://doi.org/10.1007/bf01076619
OpenAlex ID: W2018478409
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published in: Functional Analysis and Its Applications
description: scientific article; zbMATH DE number 3922919