Duality for admissible locally analytic representations

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We study the problem of constructing a contragredient functor on the category of admissible locally analytic representations of a p-adic analytic group G. A naive contragredient does not exist. As a best approximation, we construct an involutive "duality" functor from the bounded derived category of modules over the distribution algebra of G with coadmissible cohomology to itself. On the subcategory corresponding to complexes of smooth representations, this functor induces the usual smooth contragredient (with a degree shift). Although we construct our functor in general we obtain its involutivity, for technical reasons, only in the case of locally Qp-analytic groups.
36 pages, uses xypic

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Number Theory, Representation Theory, 11S80; 22E50

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http://salesiana.dossiersoluciones.com/handle/123456789/70633

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403498
 http://arxiv.org/abs/math/0403498

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arXiv