An affine Gindikin-Karpelevich formula

zbMath1302.20048arXiv1212.6473MaRDI QIDQ2875939

Manish M. Patnaik, Alexander Braverman, Howard Garland, D. A. Kazhdan

Publication date: 12 August 2014

Full work available at URL: https://arxiv.org/abs/1212.6473

zbMATH Keywords

finiteness conditionsBruhat-Tits buildingsaffine Kac-Moody groupsGindikin-Karpelevich formulalocal non-Archimedian fields

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Loop groups and related constructions, group-theoretic treatment (22E67) Kac-Moody groups (20G44)

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Iwahori-Hecke algebras for \(p\)-adic loop groups ⋮ A New Axiomatics for Masures ⋮ Correction factors for Kac-Moody groups and \(t\)-deformed root multiplicities ⋮ Spherical Hecke algebras for Kac-Moody groups over local fields. ⋮ On Iwahori-Whittaker functions for metaplectic groups ⋮ Affine Weyl Group Multiple Dirichlet Series: Type $\tilde{A}$ ⋮ On structure constants of Iwahori-Hecke algebras for Kac-Moody groups ⋮ Theta lifting for loop groups ⋮ On the convergence of the Kac-Moody correction factor

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