Hom-Novikov Algebras and Hom-Novikov-Poisson Algebras
Hom-Novikov Algebras and Hom-Novikov-Poisson Algebras
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发表时间：
2012-04
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通讯作者：
Lamei Yuan;H. You
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作者：
Lamei Yuan;H. You
本文研究了由丘成桐定义的Hom-Novikov代数和Hom-Novikov-Poisson代数。本文给出了Hom-Novikov代数和Hom-Novikov-Poisson代数的几个构造，并给出了一些有趣的例子。同时，我们引入了二次Hom-Novikov代数的概念，并给出了它的一些性质。
The purpose of this paper is to study Hom-Novikov algebras and Hom-Novikov-Poisson algebras, both of which were defined by Yau. In the paper, we give several constructions leading us to some interesting examples of Hom-Novikov algebras and Hom-Novikov-Poisson algebras. Also, we introduce the notion of quadratic Hom-Novikov algebras and provide some properties.