Cohomology of Modules over H-categories and Co-H-categories

Balodi, M and Banerjee, A and Ray, S (2020) Cohomology of Modules over H-categories and Co-H-categories. In: Canadian Journal of Mathematics, 72 (5). pp. 1352-1385.

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Abstract

Let be a Hopf algebra. We consider-equivariant modules over a Hopf module category as modules over the smash extension. We construct Grothendieck spectral sequences for the cohomologies as well as the-locally finite cohomologies of these objects. We also introduce relative-Hopf modules over a Hopf comodule category. These generalize relative-Hopf modules over an-comodule algebra. We construct Grothendieck spectral sequences for their cohomologies by using their rational objects and higher derived functors of coinvariants. © Canadian Mathematical Society 2019.

Item Type:	Journal Article
Publication:	Canadian Journal of Mathematics
Publisher:	Cambridge University Press
Additional Information:	Copyright to this article belongs to the Cambridge University Press (CUP).
Keywords:	H-category co-H-category H-equivariant module relative Hopf module
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	13 Mar 2021 07:42
Last Modified:	13 Mar 2021 07:42
URI:	http://eprints.iisc.ac.in/id/eprint/66745

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