Some finite properties for vertex operator superalgebras
type: Item
instance of: scholarly article
title: Some finite properties for vertex operator superalgebras
zbMATH Open document ID: 1270.17015
author: Chongying Dong
author: Jianzhi Han
published in: Pacific Journal of Mathematics
publication date: 2012-09-19T00:00:00Z
full work available at URL: https://arxiv.org/abs/1112.1918
full work available at URL: p02.xhtml
review text: The concept of rationality is very important in the representation theory of vertex operator algebras and vertex operator superalgebras. In the present paper, the authors discussed many properties of rationality in the supercase using associative algebra method, these results can be regarded as `super' analogues of results presented in the `ordinary' case. These results include, in particular, that the vertex operator super subalgebras generated by the weight 1/2 and weight 1 subspaces are determined. It is also established that if the even part \(V_{\bar 0}\) of a vertex operator superalgebra \(V\) is rational, so is \(V\).
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 6083920
zbMATH Keywords: rationality
zbMATH Keywords: vertex operator superalgebra
zbMATH Keywords: associative algebra
reviewed by: Xiandong Wang
MaRDI profile type: Publication
OpenAlex ID: W2015935644
arXiv ID: 1112.1918
DOI: 10.2140/PJM.2012.258.269
description: scientific article; zbMATH DE number 6083920