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Intégrales orbitales sur G L ( N ) et corps locaux proches

Bertrand Lemaire (1996)

Annales de l'institut Fourier

Soient F un corps local non archimédien, N un entier 2 , G _ = G L ( N ) , n un entier 1 et ( G _ ( F ) , K F n ) l’algèbre de Hecke de G _ ( F ) relative au sous-groupe de congruence modulo 𝒫 F n de G _ ( 𝒪 F ) . On prouve une formule explicite pour les intégrales orbitales elliptiques des fonctions de ( G _ ( F ) , K F n ) . Grâce à cette formule, pour γ G _ ( F ) semi-simple régulier, on produit un entier r = r ( γ , n ) n tel que pour tout corps local non archimédien F ' r -proche...

Integrating central extensions of Lie algebras via Lie 2-groups

Christoph Wockel, Chenchang Zhu (2016)

Journal of the European Mathematical Society

The purpose of this paper is to show how central extensions of (possibly infinite-dimensional) Lie algebras integrate to central extensions of étale Lie 2-groups in the sense of [Get09, Hen08]. In finite dimensions, central extensions of Lie algebras integrate to central extensions of Lie groups, a fact which is due to the vanishing of π 2 for each finite-dimensional Lie group. This fact was used by Cartan (in a slightly other guise) to construct the simply connected Lie group associated to each finite-dimensional...

Currently displaying 1421 – 1440 of 3843