On Hom-Lie Pseudo-Superalgebras  

作　　者：Shengxiang Wang Tingting Tao Shengxiang Wang;Tingting Tao(Department of Mathematics, Nanjing University, Nanjing, China;School of Mathematics and Finance, Chuzhou University, Chuzhou, China)

机构地区：[1]Department of Mathematics, Nanjing University, Nanjing, China [2]School of Mathematics and Finance, Chuzhou University, Chuzhou, China

出　　处：《Advances in Pure Mathematics》2016年第6期420-435,共16页理论数学进展（英文）

摘　　要：The aim of this article is to introduce the notion of Hom-Lie H-pseudo-superalgebras for any Hopf algebra H. This class of algebras is a natural generalization of the Hom-Lie pseudo-algebras as well as a special case of the Hom-Lie superalgebras. We present some construction theorems of Hom-Lie H-pseudo-superalgebras, reformulate the equivalent definition of Hom-Lie H-pseudo-super-algebras, and consider the cohomology theory of Hom-Lie H-pseudo-superalgebras with coefficients in arbitrary Hom-modules as a generalization of Kac’s result.The aim of this article is to introduce the notion of Hom-Lie H-pseudo-superalgebras for any Hopf algebra H. This class of algebras is a natural generalization of the Hom-Lie pseudo-algebras as well as a special case of the Hom-Lie superalgebras. We present some construction theorems of Hom-Lie H-pseudo-superalgebras, reformulate the equivalent definition of Hom-Lie H-pseudo-super-algebras, and consider the cohomology theory of Hom-Lie H-pseudo-superalgebras with coefficients in arbitrary Hom-modules as a generalization of Kac’s result.

关 键 词：Hom-Associative Pseudo-Superalgebra Hom-Lie Pseudo-Superalgebra Hom-Lie Conformal Superalgebra Hom-Annihilation Superalgebra COHOMOLOGY 

分 类 号：O15[理学—数学]