Comptes Rendus
Number theory, Representation theory
Duality for K-analytic Group Cohomology of p-adic Lie Groups
Oliver Thomas1 
1 Department of Mathematics, University of Bahrain, P.O. Box 32038, Sukhair, Bahrain
Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1213-1226

We prove a duality result for the analytic cohomology of Lie groups over non-archimedean fields acting on locally convex vector spaces by combining Tamme’s non-archimedean van Est comparison morphism with Hazewinkel’s duality result for Lie algebra cohomology.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/crmath.373
Classification: 22E50, 46S10, 11S31
Keywords: analytic cohomology, duality

Oliver Thomas 1

1 Department of Mathematics, University of Bahrain, P.O. Box 32038, Sukhair, Bahrain
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Oliver Thomas. Duality for $K$-analytic Group Cohomology of $p$-adic Lie Groups. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1213-1226. doi: 10.5802/crmath.373

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