Duality for $K$-analytic Cohomology
Oliver Thomas
TL;DR
This paper establishes a duality theorem for the analytic cohomology of Lie groups over non-archimedean fields, expanding the understanding of their cohomological properties in a non-archimedean setting.
Contribution
It introduces a duality framework for $K$-analytic cohomology of Lie groups over non-archimedean fields, a novel theoretical development.
Findings
Proves a duality theorem for $K$-analytic cohomology.
Extends cohomological duality concepts to non-archimedean Lie groups.
Provides tools for further research in non-archimedean analytic geometry.
Abstract
We prove a duality result for the analytic cohomology of Lie groups over non-archimedean fields acting on locally convex vector spaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models