Derived right adjoints of parabolic induction: an example

Suppose $p \geq 5$ is a prime number, and let $G = {SL}_{2} (ℚ_{p})$ . We calculate the derived functors $R^{n} ℛ_{B}^{G} (π)$ , where $B$ is a Borel subgroup of $G$ , $ℛ_{B}^{G}$ is the right adjoint of smooth parabolic induction constructed by Vignéras, and $π$ is any smooth, absolutely irreducible, mod $p$ representation of $G$ .

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Keywords

parabolic induction, right adjoint, mod $p$ representation theory

Mathematical Subject Classification

Primary: 22E50

Secondary: 20C08

Milestones

Received: 11 February 2022

Revised: 25 August 2022

Accepted: 4 October 2022

Published: 21 March 2023

Authors

Karol Kozioł
Department of Mathematics Baruch College City University of New York New York, NY United States

Vol. 321, No. 2, 2022

Karol Kozioł

Abstract

PDF Access Denied

Keywords

Mathematical Subject Classification

Milestones

Authors