Leonid Positselski (Czech Acad. of Sci. and Inst. for Inform. Transmission Problems, Moscow)
Smooth duality and co-contra correspondence
Journal of Lie Theory
The aim of this paper is to explain how to get a complex of smooth representations out of the dual vector space to a smooth representation of a p-adic Lie group, in natural characteristic. The construction does not depend on any finiteness/admissibility assumptions. Imposing such an assumption, one obtains an involutive duality on the derived category of complexes of smooth modules with admissible cohomology modules.
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