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Irreducibility results for equivariant $\mathcal{D}$-modules on rigid analytic spaces

Published 13 Jan 2025 in math.NT | (2501.07667v1)

Abstract: We prove a general irreducibility result for geometrically induced coadmissible equivariant $\mathcal{D}$-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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