On some results of Harish-Chandra for representations of p-adic groups, extended to their central extensions

Volker Heiermann

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arXiv · 2506.21334

On some results of Harish-Chandra for representations of p-adic groups, extended to their central extensions

Volker Heiermann

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Abstract

The aim of this article is to give a complete proof of results of Harish-Chandra linking the irreducibility of parabolic induction of a supercuspidal representation of a p-adic group to the analytic behavior of the mu-function of Harish-Chandra and to show that the proof remains valid in the case of a central extension.M

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Volker Heiermann. 2025-06-26. On some results of Harish-Chandra for representations of p-adic groups, extended to their central extensions. https://arxiv.org/abs/2506.21334

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