Vertex operator construction of standard modules for \(A_ n^{(1)}\)
type: Item
instance of: scholarly article
title: Vertex operator construction of standard modules for \(A_ n^{(1)}\)
zbMATH Open document ID: 0787.17024
author: Mirko Primc
published in: Pacific Journal of Mathematics
publication date: 1994-05-19T00:00:00Z
review text: We generalize the vertex operator formula for the affine Lie algebra \(A_ n^{(1)}\) in the ``homogeneous picture'' and by using it we construct a basis of any given standard \(A_ n^{(1)}\)-module parametrized by coloured partitions. We also obtain a similar explicit construction of vacuum spaces of standard \(A_ 2^{(1)}\)-modules.
reviewed by: Mirko Primc
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 05E05
zbMATH DE Number: 540662
zbMATH Keywords: standard module
zbMATH Keywords: Schur functions
zbMATH Keywords: vertex operator formula
zbMATH Keywords: affine Lie algebra
zbMATH Keywords: coloured partitions
MaRDI profile type: Publication
full work available at URL: pjm.1994.162.143
OpenAlex ID: W2013664264
DOI: 10.2140/PJM.1994.162.143
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description: scientific article; zbMATH DE number 540662