Characteristic classes for cohomology of split Hopf algebra extensions

JOURNAL OF ALGEBRA

卷:332

Article

Degrijse, Dieter¹  Petrosyan, Nansen¹ 

[1] Katholieke Univ Leuven, Dept Math, Kortrijk, Belgium

关键词: Hopf algebra cohomology;    (Lyndon-)Hochschild-Serre spectral sequence;    Characteristic classes;   

DOI  :  10.1016/j.jalgebra.2011.01.018

来源: Elsevier

【 摘 要 】

We introduce characteristic classes for the spectral sequence associated to a split short exact sequence of Hopf algebras. These classes can be seen as obstructions for the vanishing of differentials in the spectral sequence. We give a decomposition theorem and interpret our results in the settings of group and Lie algebra extensions. As applications, we derive several results concerning the collapse of the (Lyndon-)Hochschild-Serre spectral sequence and the order of characteristic classes. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free