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This is a Quantitative Study study.

October 16, 2025Open Access

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

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The article provides a complete proof linking irreducibility of parabolic induction to Harish-Chandra's mu-function.
Key evidence shows that these results remain valid under central extensions within p-adic groups.
The methodology involves a detailed analytical approach to establish the connection between representation theory and the mu-function.
This work highlights essential extensions of Harish-Chandra's results, suggesting broader implications in representation theory.

Implication

Article demonstrates that parabolic induction irreducibility links to the analytic mu-function, extending results to central extensions.

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.

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Cite This Study

Volker Heiermann (2025) studied this question.

synapsesocial.com/papers/68f04acce559138a1a06e85a https://doi.org/10.48550/arxiv.2506.21334

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Implication

Article demonstrates that parabolic induction irreducibility links to the analytic mu-function, extending results to central extensions.

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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