The characters of supercuspidal representations as weighted orbital integrals

DOI10.1007/BF02837809zbMath0652.22009OpenAlexW1985355182MaRDI QIDQ1106959

James Arthur

Publication date: 1987

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837809

zbMATH Keywords

characterSelberg trace formulareductive Lie grouporbital integralsupercuspidal representationnon- archimedean local field

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

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Local character expansions and Shalika germs for GL(n), Unnamed Item, Counting and equidistribution for quaternion algebras, A local trace formula, Geometric side of a local relative trace formula, Caractères de représentations de niveau <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>0</mml:mn></mml:math>, Unnamed Item, On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad, Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families, On a pairing of Goldberg-Shahidi for even orthogonal groups, A Local Relative Trace Formula for the Ginzburg-Rallis Model: The Geometric Side., On elliptic tempered characters

Cites Work

• The trace formula in invariant form
• A trace formula for reductive groups. I: Terms associated to classes in G(Q)
• The characters of discrete series as orbital integrals
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• On a Family of Distributions Obtained from Eisenstein Series II: Explicit Formulas