A vanishing Ext-branching theorem for (GLn+1(F),GLn(F))

Kei Yuen Chan; Gordan Savin

doi:10.1215/00127094-2021-0028

15 July 2021 A vanishing Ext-branching theorem for

({\mathrm{GL}_{n+1}}(F),{\mathrm{GL}_{n}}(F))

Kei Yuen Chan, Gordan Savin

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Abstract

We prove a conjecture of Dipendra Prasad on Ext-branching from ${\mathrm{GL}_{n+1}}(F)$ to ${\mathrm{GL}_{n}}(F)$ , where F is a p-adic field, and we give a projectivity criterion, resulting in some interesting consequences.

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Kei Yuen Chan. Gordan Savin. "A vanishing Ext-branching theorem for $({\mathrm{GL}_{n+1}}(F),{\mathrm{GL}_{n}}(F))$ ." Duke Math. J. 170 (10) 2237 - 2261, 15 July 2021. https://doi.org/10.1215/00127094-2021-0028

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Received: 20 June 2020; Revised: 15 November 2020; Published: 15 July 2021

First available in Project Euclid: 27 April 2021

MathSciNet: MR4291425

zbMATH: 1510.22015

Digital Object Identifier: 10.1215/00127094-2021-0028

Subjects:

Primary: 22E50

Keywords: branching problems , representations of general linear groups

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