Duality for $K$-analytic Group Cohomology of $p$-adic Lie Groups

Abstract

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.

Keywords

• analytic cohomology
• duality