Bounds on multiplicities of spherical spaces over finite fields

DOI10.1016/j.jpaa.2018.12.008zbMath1471.20011arXiv1609.07456OpenAlexW2964155988MaRDI QIDQ2421337

Nir Avni, Avraham Aizenbud

Publication date: 17 June 2019

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.07456

zbMATH Keywords

representations of groups of Lie type

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Group actions on varieties or schemes (quotients) (14L30) Representations of finite groups of Lie type (20C33)

Cites Work

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• Character sheaves. I
• Complexity of action of reductive groups
• Character sheaves and almost characters of reductive groups. I, II
• On the set of orbits for a Borel subgroup
• Finite multiplicity theorems for induction and restriction
• Multiplicity bounds and the subrepresentation theorem for real spherical spaces
• Characters of Reductive Groups over a Finite Field. (AM-107)
• Periods and harmonic analysis on spherical varieties
• Constant term of smooth $H_\psi $-spherical functions on a reductive $p$-adic group

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