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Dec 20, 2022 at 22:31 history became hot network question
Dec 20, 2022 at 16:45 vote accept asv
Dec 20, 2022 at 15:06 answer added David E Speyer timeline score: 6
Dec 20, 2022 at 14:47 comment added YCor If I'm correct, all you need is a "Cartan" $KDK$ decomposition for $D$ the group of invertible diagonal matrices, for some compact subgroup $K$ of $\mathrm{GL}_n(\mathbb{F})$. In the non-archimedean case this is done in Bruhat-Tits (Publ IHES 1972), Section 4.4, if I'm correct.
Dec 20, 2022 at 14:42 history edited YCor
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Dec 20, 2022 at 14:36 history edited asv CC BY-SA 4.0
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Dec 20, 2022 at 14:30 history asked asv CC BY-SA 4.0