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Gindikin–Karpelevich Finiteness for Kac–Moody Groups Over Local Fields

Gindikin–Karpelevich Finiteness for Kac–Moody Groups Over Local Fields

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 …