Geometric structure for the principal series of a split reductive \(p\)-adic group with connected centre

DOI10.4171/JNCG/244zbMath1347.22013arXiv1408.0673MaRDI QIDQ740104

Roger Plymen, Anne-Marie Aubert, Maarten Solleveld, Paul F. Baum

Publication date: 12 August 2016

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.0673

zbMATH Keywords

principal seriesIwahori-spherical blocksplit reductive \(p\)-adic group

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (5)

Smooth duals of inner forms of \(\mathrm{GL}_n\) and \(\mathrm{SL}_n\) ⋮ Endomorphism algebras and Hecke algebras for reductive \(p\)-adic groups ⋮ Some aspects of the geometric structure of the smooth dual of $p$-adic reductive groups ⋮ Conjectures about 𝑝-adic groups and their noncommutative geometry ⋮ Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups

Cites Work

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• Geometric structure in smooth dual and local Langlands conjecture
• Proof of the Deligne-Langlands conjecture for Hecke algebras
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• Geometric structure in the principal series of the 𝑝-adic group 𝐺₂
• On the classification of irreducible representations of affine Hecke algebras with unequal parameters
• Types and Hecke algebras for principal series representations of split reductive p-adic groups
• ON THE SPECTRAL DECOMPOSITION OF AFFINE HECKE ALGEBRAS
• Basic noncommutative geometry

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