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arXiv · 2501.04850

Bernstein-Zelevinsky duality for locally analytic principal series representations

Matthias Strauch·Zhixiang Wu
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Abstract

We consider certain dual of the Kohlhaase-Schraen resolutions for locally analytic principal series representations of $p$-adic Lie groups in the case of integral weights. The dual complexes calculate the expected Bernstein-Zelevinsky dual of the locally analytic representations and lead to the Grothendieck-Serre duality of coherent sheaves on patched eigenvarieties.

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Matthias Strauch, Zhixiang Wu. 2025-01-08. Bernstein-Zelevinsky duality for locally analytic principal series representations. https://arxiv.org/abs/2501.04850

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