Vol. 258, No. 2, 2012
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Some finite properties for vertex operator superalgebras

Chongying Dong and Jianzhi Han
Vol. 258 (2012), No. 2, 269–290
DOI: 10.2140/pjm.2012.258.269
Abstract

Vertex operator superalgebras are studied and various results on rational vertex operator superalgebras are obtained. In particular, 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 0 of a vertex operator superalgebra V is rational, so is V .
Keywords
vertex operator superalgebra
Mathematical Subject Classification 2010
Primary: 17B65, 17B69
Milestones
Received: 23 November 2011
Revised: 25 January 2012
Accepted: 8 March 2012
Published: 1 August 2012
Authors
Chongying Dong
Department of Mathematics
UC Santa Cruz
194 Baskin Engineering
Santa Cruz, California 95064
United States
Jianzhi Han
Wu Wen-Tsun Key Laboratory of Mathematics
USTC
Chinese Academy of Sciences, Hefei 230026
China		 Department of Mathematics
Sichuan University
Chengdu, 610064
China