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Article Dans Une Revue International Mathematics Research Notices Année : 2017

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

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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Citer

Auguste Hébert. Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields. International Mathematics Research Notices, 2017, ⟨10.1093/imrn/rnw224⟩. ⟨hal-01248091v4⟩
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