Twisted tensor products of nonlocal vertex algebras

Haisheng Li; Jiancai Sun

doi:10.1016/j.jalgebra.2011.07.017

Twisted tensor products of nonlocal vertex algebras

Haisheng Li, Jiancai Sun

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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 language	English (US)
Pages (from-to)	266-294
Number of pages	29
Journal	Journal of Algebra
Volume	345
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2011.07.017
State	Published - Nov 1 2011

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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10.1016/j.jalgebra.2011.07.017

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title = "Twisted tensor products of nonlocal vertex algebras",

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.",

keywords = "Nonlocal vertex algebra, Quantum vertex algebra, Smash product, Twisted tensor product",

author = "Haisheng Li and Jiancai Sun",

note = "Funding Information: H. Li gratefully acknowledges financial support from the United States National Security Agency under grant H98230-11-1-0161. Part of this work was done during a visit by H. Li at Kavli Institute for Theoretical Physics China, CAS, Beijing, 2010. We would like to thank KITP for the financial support during the visit. This research was supported in part by the Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences, Grant No. KJCX2.YW.W10.",

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AU - Sun, Jiancai

N1 - Funding Information: H. Li gratefully acknowledges financial support from the United States National Security Agency under grant H98230-11-1-0161. Part of this work was done during a visit by H. Li at Kavli Institute for Theoretical Physics China, CAS, Beijing, 2010. We would like to thank KITP for the financial support during the visit. This research was supported in part by the Project of Knowledge Innovation Program (PKIP) of Chinese Academy of Sciences, Grant No. KJCX2.YW.W10.

PY - 2011/11/1

Y1 - 2011/11/1

N2 - 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.

AB - 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.

KW - Nonlocal vertex algebra

KW - Quantum vertex algebra

KW - Smash product

KW - Twisted tensor product

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JO - Journal of Algebra

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ER -

Twisted tensor products of nonlocal vertex algebras

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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