Vertex algebras and combinatorial identities
type: Item
instance of: scholarly article
title: Vertex algebras and combinatorial identities
zbMATH Open document ID: 1030.17027
DOI: 10.1023/A:1019747408807
author: Mirko Primc
published in: Acta Applicandae Mathematicae
publication date: 2003-03-11T00:00:00Z
review text: The author describes a line of research that ties together various branches of mathematics: the representation theory of affine Kac-Moody Lie algebras, vertex operator algebras, quantum groups and crystal bases, statistical mechanics, and combinatorial identities of the Rogers-Ramanujan type. He then describes in some detail some of his and A. Meurman's recent work on annihilating fields, as well as Feigin and Stoyanovsky's principal subspace ideas. Finally the author argues that one possible way to deal with the proof of linear independence of the proposed spanning sets could be through the crystal base theory for quantum groups.
reviewed by: Stefano Capparelli
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 05A19
Mathematics Subject Classification ID: 33D80
zbMATH DE Number: 1879592
zbMATH Keywords: vertex algebras
zbMATH Keywords: Rogers-Ramanujan identities
zbMATH Keywords: affine Lie algebras
MaRDI profile type: Publication
full work available at URL: a:1019747408807
OpenAlex ID: W30626809
description: scientific article; zbMATH DE number 1879592