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arXiv · 1512.07556

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

Auguste Hébert
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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.

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BibTeXRIS

Auguste Hébert. 2017-11-13. Gindikin-Karpelevich finiteness for Kac-Moody groups over local fields. https://doi.org/10.1093/imrn%2Frnw224

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