Homological full-and-faithfulness of comodule inclusion and contramodule forgetful functors

L Positselski - arXiv preprint arXiv:2301.09561, 2023 - arxiv.org
In this paper we consider a conilpotent coalgebra $ C $ over a field $ k $. Let
$\Upsilon\colon C\textsf {-Comod}\longrightarrow C^*\textsf {-Mod} $ be the natural functor of …

Smooth duality and co-contra correspondence

L Positselski - arXiv preprint arXiv:1609.04597, 2016 - arxiv.org
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 …