List questions from reductive-groups

Published on 25 Mar 2026 - 2:45

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Proof of the measure decomposition $dg = dk \, d_lp$ using the Iwasawa decomposition for reductive groups

Published on 14 Jun 2017 - 3:10

199

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Simple root subgroups of split reductive groups multiply nicely

Published on 20 Jun 2017 - 19:34

104

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Existence of $k$-splitting by Hilbert's Theorem 90? Or useless nonsense?

Published on 21 Jun 2017 - 2:24

149

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Reduced decomposition of an element in the Weyl group smaller length than it should have

Published on 25 Mar 2026 - 6:06

256

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Two definitions of the Jacquet functor: why are they the same?

Published on 25 Mar 2026 - 6:03

183

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Splitting the exact sequence of tori $1 \rightarrow Z_G \rightarrow T \rightarrow T/Z_G \rightarrow 1$

Published on 09 Oct 2017 - 19:28

444

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"Weights of a representation of $\mathfrak{sl}_3$." What does the picture mean?

Published on 19 Oct 2017 - 14:39

490

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Significance of $G$ being reductive

Published on 21 Oct 2017 - 3:54

188

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Some questions on the Hecke algebra in Casselman's notes

Published on 25 Mar 2026 - 9:26

41

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Absolute roots restricting to a given root form a Galois orbit

Published on 21 Nov 2017 - 18:25

140

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Underlying space of the contragredient representation of a Hilbert space

Published on 26 Nov 2017 - 1:44

345

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$C_c^{\infty}(G) \rightarrow \textrm{c-Ind}_H^G(\delta_H)$ is surjective

Published on 26 Nov 2017 - 17:48

174

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Equivalent definitions of compactly supported in the case of induced representation

Published on 26 Nov 2017 - 21:36

38

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The structure of $\textrm{c-Ind}_H^G(\sigma)$

Published on 26 Nov 2017 - 22:05

List Question

$U(2,1)$ is quasi-split

Proof of the measure decomposition $dg = dk \, d_lp$ using the Iwasawa decomposition for reductive groups

Simple root subgroups of split reductive groups multiply nicely

Existence of $k$-splitting by Hilbert's Theorem 90? Or useless nonsense?

Reduced decomposition of an element in the Weyl group smaller length than it should have

Two definitions of the Jacquet functor: why are they the same?

Splitting the exact sequence of tori $1 \rightarrow Z_G \rightarrow T \rightarrow T/Z_G \rightarrow 1$

"Weights of a representation of $\mathfrak{sl}_3$." What does the picture mean?

Significance of $G$ being reductive

Some questions on the Hecke algebra in Casselman's notes

Absolute roots restricting to a given root form a Galois orbit

Underlying space of the contragredient representation of a Hilbert space

$C_c^{\infty}(G) \rightarrow \textrm{c-Ind}_H^G(\delta_H)$ is surjective

Equivalent definitions of compactly supported in the case of induced representation

The structure of $\textrm{c-Ind}_H^G(\sigma)$

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