Residual spectrum of split reductive groups supported in a Borel subgroup under isogenies

DOI10.1007/s00229-012-0557-yzbMath1279.22027OpenAlexW2022206107MaRDI QIDQ1949803

Henry H. Kim, Wook-Dong Kim

Publication date: 17 May 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0557-y

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Cites Work

• Some results on the unramified principal series of \(p\)-adic groups
• On the functional equations satisfied by Eisenstein series
• Trigonometric sums, Green functions of finite groups and representations of Weyl groups
• A construction of representations of Weyl groups
• Parametrization of the image of normalized intertwining operators.
• Residual spectrum of split classical groups; contribution from Borel subgroups.
• Groupes reductifs
• Le spectre résiduel de ${\rm GL}(n)$
• The Knapp-Stein Dimension Theorem for p-Adic Groups
• Isogeny Restrictions of Irreducible Admissible Representations are Finite Direct Sums of Irreducible Admissible Representations
• Reduction to Real Infinitesimal Character in Affine Hecke Algebras
• Representations of reductive \(p\)-adic groups and of their distinguished cocompact subgroups
• Conjectures about the residual spectrum
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