Jordan decompositions of cocenters of reductive 𝑝-adic groups

DOI10.1090/ert/528zbMath1429.22017arXiv1710.04327OpenAlexW2974809191MaRDI QIDQ5240199

Ju-Lee Kim, Xuhua He

Publication date: 24 October 2019

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.04327

zbMATH Keywords

Hecke algebraJordan decompositionunipotent elementrigid cocentercompact-modulo-center elementsreductive $p$-adic groupsemismiple element

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cyclotomic polynomial coefficients \(a(n,k)\) with \(n\) and \(k\) in prescribed residue classes
• Topological Jordan decompositions
• Cuspidal geometry of p-adic groups
• Trace Paley-Wiener theorem for reductive p-adic groups
• Orbital integrals on p-adic groups: A proof of the Howe conjecture
• Orbital integrals in reductive groups
• Refined anisotropic \(K\)-types and supercuspidal representations
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Some applications of Bruhat-Tits theory to harmonic analysis on the Lie algebra of a reductive \(p\)-adic group
• Cocenter of \(p\)-adic groups. II: Induction map
• Parametrizing nilpotent orbits via Bruhat-Tits theory
• Nilpotent orbits over ground fields of good characteristic
• Jacquet functors and unrefined minimal \(K\)-types
• Cocenters of \(p\)-adic groups. III: Elliptic and rigid cocenters
• Automorphic forms on GL (2)
• Galois-fixed points in the Bruhat-Tits building of a reductive group
• Homogeneity results for invariant distributions of a reductive p-adic group1
• κ-types and Γ-asymptotic expansions
• Supercuspidal representations: An exhaustion theorem
• Good Product Expansions for Tame Elements of p-Adic Groups
• Character expansions and unrefined minimal K -types
• COCENTERS OF -ADIC GROUPS, I: NEWTON DECOMPOSITION
• A new proof of the Howe Conjecture