Cohomology of the Universal Enveloping Algebras of Certain Bigraded Lie Algebras

被引：0
|
作者：
Li Nan ZHONG [1 ,2 ]
Hao ZHAO [1 ]
Wen Huai SHEN [1 ]
机构：
[1] School of Mathematical Sciences,South China Normal University
[2] Department of Mathematics,Yanbian University
来源：
Acta Mathematica Sinica,English Series | 2018年 / 10期
基金：
中国博士后科学基金;
关键词：
Steenrod algebra; Hopf algebra; Lie algebra; spectral sequence; stable homotopy groups of sphere;
D O I：
暂无
中图分类号：
O152.5 [李群]; O189.23 [同伦论];
学科分类号：
070104 ;
摘要：
Let p be an odd prime and q = 2（p-1）.Up to total degree t-s < max{（5p;+ 6p;+ 6 p +4）q-10,p;q},the generators of H;(U（L）),the cohomology of the universal enveloping algebra of a bigraded Lie algebra L,are determined and their convergence is also verified.Furthermore our results reveal that this cohomology satisfies an analogous Poinare duality property.This largely generalizes an earlier classical results due to J.P.May.
引用
收藏
页码：1611 / 1625
页数：15
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