The conservation relation for cuspidal representations
نویسندگان
چکیده
منابع مشابه
Irreducible cuspidal representations with prescribed local behavior
Let G be a simple algebraic group defined over the global field k. In this paper, we use the simple trace formula to determine the sum of the multiplicities of the irreducible representations in the cuspidal spectrum of G, with specified local behavior at a finite set of places of k and unramified elsewhere. This sum is expressed as the product of the values of modified Artin L-functions at neg...
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In the basic general frame of the Langlands global program, a local p -adic elliptic semimodule corresponding to a local (left) cuspidal form is constructed from it global equivalent covered by p roots. In the same context, global and local bilinear deformations of Galois representations inducing the invariance of their respective residue fields are introduced as well as global and local biline...
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We compute the universal deformations of cuspidal representations π of GL2(F ) over Fl, where F is a local field of residue characteristic p and l is an odd prime different from p. When π is supercuspidal there is an irreducible, two dimensional representation ρ of GF that corresponds to π via the mod l local Langlands correspondence of [Vi2]; we show that there is a natural isomorphism between...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2011
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-011-0636-5