Duals in natural characteristic
Peter Schneider, Claus Sorensen
TL;DR
This paper introduces a new duality functor for smooth mod p representations of p-adic Lie groups, linking different subcategories of admissible complexes in the derived category.
Contribution
It presents a novel derived smooth duality functor that advances understanding of the structure of admissible complexes in representation theory.
Findings
Defines a derived smooth duality functor.
Relates subcategories of admissible complexes.
Provides new tools for p-adic representation analysis.
Abstract
We introduce a derived smooth duality functor on the unbounded derived category of smooth mod p representations of a p-adic Lie group. Using this functor we relate various subcategories of admissible complexes.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology