The cohomology of restricted Lie algebras and of Hopf algebras

The cohomology of restricted Lie algebras and of Hopf algebras
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DOI:
10.1090/s0002-9904-1965-11300-3
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发表时间:
1965-03
影响因子:
1.3
通讯作者:
J. May
J. May
中科院分区:
数学1区
文献类型:
--
作者:
J. May

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导言。理论上,杆结构足以计算增广代数的同调群。在实践中,杆结构通常太大(具有太多生成器),不允许计算更高维的同调群。本文给出了一种简化Hopf代数的同调和上同调计算的方法。设特征为p的域K上的IBEA(分次)Hopf代数.
Introduction. In theory, the bar construction suffices to calculate the homology groups of an augmented algebra. In practice, the bar construction is generally too large (has too many generators) to allow computation of higher-dimensional homology groups. In this paper, we outline a procedure which simplifies the calculation of the homology and cohomology of Hopf algebras. Let ibea (graded) Hopf algebra over a field K of characteristic p.