An inductive approach to representations of general linear groups over compact discrete valuation rings

DOI10.1016/j.aim.2024.109516arXiv2005.05553OpenAlexW3025921884MaRDI QIDQ6122684

Uri Onn, Ehud Meir, Tyrone Crisp

Publication date: 1 March 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.05553

zbMATH Keywords

parabolic inductionHarish-Chandra inductioncompact \(p\)-adic groupsPSH-algebra

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33) Linear algebraic groups over local fields and their integers (20G25)

Cites Work

• On the unramified principal series of \(\mathrm{GL}(3)\) over non-Archimedean local fields
• Zeta functions attached to finite general linear groups
• Representations of finite classical groups. A Hopf algebra approach
• On Harish-Chandra induction and restriction for modules of Levi subgroups
• The restriction of a representation of GL\(_2(k)\) to GL\(_0(0)\)
• A jordan decomposition of representations forGL_n(O)
• Représentations cuspidales du groupe linéaire
• Induced representations of reductive ${\germ p}$-adic groups. I
• Principal series for general linear groups over finite commutative rings
• A VARIANT OF HARISH-CHANDRA FUNCTORS
• On cuspidal representations of general linear groups over discrete valuation rings
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