Sur les germes de Shalika pour les groupes linéaires. (On the Shalika germs for the linear groups)

DOI10.1007/BF01442872zbMath0651.22010OpenAlexW1990951738MaRDI QIDQ1106342

Jean-Loup Waldspurger

Publication date: 1989

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164549

zbMATH Keywords

Shalika germsmaximal elliptic torip-adic local field

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Ramification and extension theory (11S15) Langlands-Weil conjectures, nonabelian class field theory (11S37) Linear algebraic groups over local fields and their integers (20G25)

Related Items (7)

Local character expansions and Shalika germs for GL(n) ⋮ A triangular system for local character expansions of Iwahori-spherical representations of general linear groups ⋮ On endoscopic transfer of Deligne-Lusztig functions ⋮ A stratification related to characteristic polynomials ⋮ Topological Jordan decompositions ⋮ Sur le transfert des intégrales orbitales pour les groupes linéaires (cas $p$-adique) ⋮ Base change trace identity for U(3)

Cites Work

• On the local Langlands conjecture for GL(n): the cyclic case
• Cuspidal geometry of p-adic groups
• Representations of finite classical groups. A Hopf algebra approach
• Computation of certain induced characters of P-adic groups
• Orbital Integrals on GL 3
• Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
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