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- W4376867169 abstract "We prove an Induction Equivalence and a Kashiwara Equivalence for coadmissible equivariant <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=script upper D> <mml:semantics> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi class=MJX-tex-caligraphic mathvariant=script>D</mml:mi> </mml:mrow> <mml:annotation encoding=application/x-tex>mathcal {D}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-modules on rigid analytic spaces. This allows us to completely classify such objects with support in a single orbit of a classical point with co-compact stabiliser. As an application, we use the locally analytic Beilinson-Bernstein equivalence to construct new examples of large families of topologically irreducible locally analytic representations of certain compact semisimple <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=p> <mml:semantics> <mml:mi>p</mml:mi> <mml:annotation encoding=application/x-tex>p</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-adic Lie groups." @default.
- W4376867169 created "2023-05-18" @default.
- W4376867169 creator A5002685409 @default.
- W4376867169 date "2023-05-17" @default.
- W4376867169 modified "2023-09-29" @default.
- W4376867169 title "Induction equivalence for equivariant 𝒟-modules on rigid analytic spaces" @default.
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- W4376867169 doi "https://doi.org/10.1090/ert/642" @default.
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