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Showing 1 to 3 of 3 for “"Rigid Analytic Geometry"”.
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Rigid Analytic Quantum Groups
Following constructions in rigid analytic geometry, we introduce a theory of $p$-adic analytic quantum groups. We first define Fréchet completions $\wideparen{U_q(\mathfrak{g})}$ and $\wideparen{\mathcal{O}_q(G)}$ of the quantized enveloping algebra of a semisimple Lie algebra $\mathfrak{g}$ and …
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D-cap modules on rigid analytic spaces
Following the notion of $p$-adic analytic differential operators introduced by Ardakov--Wadsley, we establish a number of properties for coadmissible $\wideparen{\mathcal{D}}$-modules on rigid analytic spaces. Our main result is a $\wideparen{\mathcal{D}}$-module analogue of Kiehl's Proper Mapping …
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Realising The Smooth Representations Of GL2(O_F) Using p-adic Geometric Methods
… group GL_2(OO_F) using the theory of dagger analytic geometry developed by Grosse-Kl\"onne [GK00]. For a locally profinite group G that acts continuously on a smooth dagger space X we adapt the techniques of Ardakov and Wadsley from [AW24] in order to develop a theory of G-equivariant vector …