Geometric structure for the principal series of a split reductive \(p\)-adic group with connected centre
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Publication:740104
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
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
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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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