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Characteristic classes for cohomology of split Hopf algebra extensions

Characteristic classes for cohomology of split Hopf algebra extensions
Characteristic classes for cohomology of split Hopf algebra extensions
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.
0021-8693
366-385
Degrijse, Dieter
fb33133b-fe90-42a5-8214-409c210906df
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6
Degrijse, Dieter
fb33133b-fe90-42a5-8214-409c210906df
Petrosyan, Nansen
f169cfd6-aeee-4ad2-b147-0bf77dd1f9b6

Degrijse, Dieter and Petrosyan, Nansen (2011) Characteristic classes for cohomology of split Hopf algebra extensions. Journal of Algebra, 332 (1), 366-385. (doi:10.1016/j.jalgebra.2011.01.018).

Record type: Article

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.

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More information

Published date: 2011
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 356893
URI: http://eprints.soton.ac.uk/id/eprint/356893
DOI: doi:10.1016/j.jalgebra.2011.01.018
ISSN: 0021-8693
PURE UUID: 6e03116a-fc97-4df9-90b8-78b2741fd8cf
ORCID for Nansen Petrosyan: ORCID iD orcid.org/0000-0002-2768-5279

Catalogue record

Date deposited: 20 Sep 2013 17:11
Last modified: 15 Mar 2024 03:49

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Contributors

Author: Dieter Degrijse
Author: Nansen Petrosyan ORCID iD

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