Hochschild Cohomology and the Coradical Filtration of Pointed Coalgebras: Applications
Hochschild Cohomology and the Coradical Filtration of Pointed Coalgebras: Applications
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DOI：
10.1006/jabr.1998.7594
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发表时间：
1998-12
影响因子：
0.9
通讯作者：
D. Ştefan;F. Oystaeyen
中科院分区：
文献类型：
--
作者：
D. Ştefan;F. Oystaeyen
摘要 在本文中，我们证明了尖余代数的余根过滤和该余代数的 Hochschild 上同调与某些一维双模系数之间存在密切的联系。作为一个应用，对于给定的素数p和特征为0的代数闭域k，我们对维度为p3overk的所有尖Hopf代数进行分类。
Abstract In this paper we show that there is a close connection between the coradical filtration of a pointed coalgebra and the Hochschild cohomology of that coalgebra with coefficients in some one-dimensional bicomodules. As an application, for a given prime numberpand an algebraically closed fieldkof characteristic 0, we classify all pointed Hopf algebras of dimensionp3overk.