双Hom李伪超代数的构造（英文）  

The Construction of BiHom-Lie Pseudo-superalgebras

作　　者：郭双建[1] 王圣祥[2] GUO Shuangjian;WANG Shengxiang(School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang,Guizhou,550025,P.R.China;School of Mathematics and Finance,Chuzhou University,Chuzhou,Anhui,239000,P.R.China)

机构地区：[1]贵州财经大学数学统计学院,贵阳贵州550025 [2]滁州学院数学金融学院,滁州安徽239000

出　　处：《数学进展》2019年第2期156-170,共15页Advances in Mathematics（China）

基　　金：partially supported by NSFC(No.11761017);the Key University Science Research Project of Anhui Province(Nos.KJ2015A294,KJ2014A183,KJ2016A545);the NSF of Chuzhou University(Nos.2014PY08,2015QD01);the Fund of Science and Technology Department of Guizhou Province(No.[2016]1021);the Youth Project for Natural Science Foundation of Guizhou Provincial Department of Education(No.KY[2018]155)

摘　　要：设H为Hopf代数,本文介绍双Hom李H-伪超代数的概念,这类代数是Hom李伪代数的自然推广,也是双Hom李超代数的特例.我们揭示双Hom李H-伪超代数的构造定理,重新修订双Hom李H-伪超代数概念的等价性,并且利用双Hom模的系数考虑双Hom李H-伪超代数的上同调理论.In this paper, we introduce the notion of BiHom-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 BiHom-Lie superalgebras. We present some construction theorems of BiHom-Lie H-pseudo-superalgebras,reformulate the equivalent definition of BiHom-Lie H-pseudo-superalgebras, and consider the cohomology theory of BiHom-Lie H-pseudo-superalgebras with coefficients in arbitrary BiHom-modules.

关 键 词：双Hom结合伪超代数 双Hom李伪超代数 双Hom湮灭超代数 上同调 

分 类 号：O153.3[理学—数学]