Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
type: Item
instance of: scholarly article
title: Vertex operators arising from the homogeneous realization for \(\widehat{\text{gl}}_N\)
zbMATH Open document ID: 0982.17012
author: Yun Gao
published in: Communications in Mathematical Physics
publication date: 2000-10-22T00:00:00Z
review text: The author uses the underlying Fock space for the homogeneous vertex operator representation of the affine Lie algebra \(\widehat{gl}_N\) to construct a family of vertex operators. As an application he obtains an irreducible module for an extended affine Lie algebra of type \(A_{N-1}\) coordinated by a quantum torus in 2 or 3 variables. It turns out that this module is a highest weight module, which is an analogue of the basic module for affine Lie algebras. The paper contains a lot of technicalities.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B10
zbMATH DE Number: 1520501
zbMATH Keywords: Fock space
zbMATH Keywords: vertex operator
zbMATH Keywords: affine Lie algebra
zbMATH Keywords: highest weight module
MaRDI profile type: Publication
full work available at URL: s002200050834
OpenAlex ID: W1675629952
DOI: 10.1007/S002200050834
description: scientific article; zbMATH DE number 1520501