Twisted tensor products of nonlocal vertex algebras

Haisheng Li, Jiancai Sun

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Abstract

In this paper we introduce and study a twisted tensor product construction of nonlocal vertex algebras. Among the main results, we establish a universal property and give a characterization of a twisted tensor product. Furthermore, we give a construction of modules for a twisted tensor product. We also show that smash products studied by one of us before can be realized as twisted tensor products.

Original languageEnglish (US)
Pages (from-to)266-294
Number of pages29
JournalJournal of Algebra
Volume345
Issue number1
DOIs
StatePublished - Nov 1 2011

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Nonlocal vertex algebra
  • Quantum vertex algebra
  • Smash product
  • Twisted tensor product

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