Twisted tensor products of nonlocal vertex algebras

Twisted tensor products of nonlocal vertex algebras
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DOI:
10.1016/j.jalgebra.2011.07.017
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发表时间:
2011-04
期刊:
arXiv: Quantum Algebra
影响因子:
--
通讯作者:
Haisheng Li;Jiancai Sun
Haisheng Li;Jiancai Sun
中科院分区:
其他
文献类型:
--
作者:
Haisheng Li;Jiancai Sun

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本文引入并研究了非局部顶点代数的一种扭张量积构造。在主要结果中,我们建立了一个泛性质,并给出了扭曲张量积的一个表征。进一步给出了扭曲张量积的模的构造。我们还证明了我们之前研究过的粉碎积可以被实现为扭曲张量积。
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.