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Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields

Abstract

In this paper, we prove some finiteness results about split Kac-Moody groups over local non-archimedean fields. Our results generalize those of "An affine Gindikin-Karpelevich formula" by Alexander Braverman, Howard Garland, David Kazhdan and Manish Patnaik. We do not require our groups to be affine. We use the hovel I associated to this situation, which is the analogue of the Bruhat-Tits building for a reductive group.Comment: International Mathematics Research Notices, Oxford University Press (OUP), 201

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    Last time updated on 21/11/2017