RESEARCH ARTICLE

Constructing tensor products of modules for C2-cofinite vertex operator superalgebras

  • Jianzhi HAN
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  • Department of Mathematics, Sichuan University, Chengdu 610064, China

Received date: 01 Mar 2014

Accepted date: 13 Mar 2014

Published date: 24 Jun 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

For any C2-cofinite vertex operator superalgebra V, the tensor product and the P(z)-tensor product of any two admissible V-modules of finite length are proved to exist, which are shown to be isomorphic, and their constructions are given explicitly in this paper.

Cite this article

Jianzhi HAN . Constructing tensor products of modules for C2-cofinite vertex operator superalgebras[J]. Frontiers of Mathematics in China, 2014 , 9(3) : 477 -494 . DOI: 10.1007/s11464-014-0369-3

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