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Pré-Publication, Document De Travail Année : 2016

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

Auguste Hébert

Résumé

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.
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Dates et versions

hal-01248091 , version 1 (23-12-2015)
hal-01248091 , version 2 (09-03-2016)
hal-01248091 , version 3 (02-11-2017)
hal-01248091 , version 4 (07-11-2017)

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  • HAL Id : hal-01248091 , version 2

Citer

Auguste Hébert. Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields. 2016. ⟨hal-01248091v2⟩
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