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Irreducibility results for equivariant D-modules on rigid analytic spaces

2025/01/13 by Konstantin Ardakov, Tobias Schmidt, Ardakov, Konstantin +1
Mathematics · #14G22 #32C38 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2501.07667

openalex publication_date 2025/01/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove a general irreducibility result for geometrically induced coadmissible equivariant D-modules on rigid analytic spaces. As an application, we geometrically reprove the irreducibility of certain locally analytic representations previously constructed by Orlik-Strauch.

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