Murnaghan-Kirillov theory for supercuspidal representations of tame general linear groups

DOI10.1515/crll.2004.080zbMath1054.22014OpenAlexW1966492987MaRDI QIDQ4827439

Jeffrey D. Adler, Stephen DeBacker

Publication date: 17 November 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/ec24820fc4aa70af1af08a264d45eb488421db33

zbMATH Keywords

general linear groupsorbital integralssupercuspidal representationsnonarchimedean local fields

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (11)

On the computability of some positive-depth supercuspidal characters near the identity ⋮ Distinguished tame supercuspidal representations and odd orthogonal periods ⋮ Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok. ⋮ Stability of character sums for positive-depth, supercuspidal representations ⋮ ON THE LOCAL LANGLANDS CORRESPONDENCE FOR SPLIT CLASSICAL GROUPS OVER LOCAL FUNCTION FIELDS ⋮ Murnaghan-Kirillov theory for depth-zero supercuspidal representations: reduction to Lusztig functions ⋮ Simple wild -packets ⋮ On some generic very cuspidal representations ⋮ A generalization of a result of Kazhdan and Lusztig ⋮ Supercuspidal representations: An exhaustion theorem ⋮ Depth-zero base change for unramified \(U(2,1)\)

Cites Work

• A submersion principle and its applications
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• Characters of supercuspidal representations of classical groups
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