典型文献
Restricted Cohomology of Restricted Lie Superalgebras
文献摘要：
Suppose the ground field F is an algebraically closed field characteristic of p＞2.In this paper,we investigate the restricted cohomology theory of restricted Lie super algebras.Algebraic interpretations of low dimensional restricted cohomology of restricted Lie superalgebra are given.We show that there is a family of restricted model filiform Lie superalgebra Lλp,p structures parameterized by elements λ ∈ Fp.We explicitly describe both the 1-dimensional ordinary and restricted cohomology superspaces of Lλp,p with coefficients in the 1-dimensional trivial module and show that these superspaces are equal.We also describe the 2-dimensional ordinary and restricted cohomology superspaces of Lλp,p with coefficients in the 1-dimensional trivial module and show that these superspaces are unequal.
文献关键词：
中图分类号：
作者姓名：
Ji Xia YUAN;Liang Yun CHEN;Yan CAO
作者机构：
School of Mathematical Sciences,Heilongjiang University,Harbin 150080,P.R.China;School of Mathematical and Statistics,Northeast Normal University,Changchun 130024,P.R.China;Department of Mathematics,Harbin University of Science and Technology,Harbin 150080,P.R.China
文献出处：
引用格式：
[1]Ji Xia YUAN;Liang Yun CHEN;Yan CAO-.Restricted Cohomology of Restricted Lie Superalgebras)[J].数学学报（英文版）,2022(11):2115-2130
A类：
Cohomology,Superalgebras,algebraically,superalgebra,superspaces
B类：
Restricted,Lie,Suppose,ground,field,closed,characteristic,In,this,paper,we,investigate,restricted,cohomology,theory,Algebraic,interpretations,low,dimensional,are,given,We,show,that,there,family,model,filiform,structures,parameterized,by,elements,Fp,explicitly,describe,both,ordinary,coefficients,trivial,module,these,also,unequal
AB值：
0.399744
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