Timeline for Compact elements in $G(K)$ for a reductive group $G$ over a nonarchimedean local field $K$
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 14, 2014 at 3:46 | comment | added | user27920 | @QuestionMark: By "represents" I just meant "maps onto", so I think we're on the same page. | |
| Oct 14, 2014 at 3:15 | comment | added | Question Mark | Thanks. Perhaps you meant that $N_H(S)(K)/Z_H(S)(K)$ rather than $N_H(S)(K)$ represents $W(G, S)$? | |
| Oct 14, 2014 at 2:29 | comment | added | user27920 | @QuestionMark: I should replace the last two sentences of that paragraph with the following, which I hope is clearer: Since $N_H(S)(K)$ represents $W(G,S)$ and $U(K) \subset G(K)^0$ for a minimal parabolic $K$-subgroup $P = Z_G(S) \ltimes U$ containing $S$ (with $U = \mathscr{R}_u(P)$ a $K$-split unipotent $K$-group), the Bruhat decomposition for $(G,S,P)$ allows us to reduce to considering $g \in Z_G(S)(K)$. | |
| Oct 13, 2014 at 21:28 | comment | added | Question Mark | In the third paragraph from below, why does it suffice to consider $g$ that normalize a minimal $K$-parabolic subgroup $P \supset S$? | |
| S Oct 13, 2014 at 8:11 | history | answered | user27920 | CC BY-SA 3.0 | |
| S Oct 13, 2014 at 8:11 | history | made wiki | Post Made Community Wiki by user27920 |