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Title: Characteristic classes for cohomology of split Hopf algebra extensions
Authors: Degrijse, Dieter *
Petrosyan, Nansen * # ×
Issue Date: Apr-2011
Publisher: Academic Press
Series Title: Journal of Algebra vol:332 issue:1 pages:366-385
Abstract: 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.
URI: 
ISSN: 0021-8693
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Mathematics, Campus Kulak Kortrijk
* (joint) first author
× corresponding author
# (joint) last author

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