Duality for $K$-analytic Group Cohomology of $p$-adic Lie Groups
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.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2022-12-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.373/ |