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

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页码：1611 / 1625

页数：15

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