Timeline for Weyl group actions on standard parabolic subgroups of classical groups [closed]
Current License: CC BY-SA 4.0
14 events
| when toggle format | what | by | license | comment | |
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| Apr 23, 2020 at 23:49 | vote | accept | Monty | ||
| Apr 23, 2020 at 23:49 | comment | added | Monty | @Mikhail, thank you! The all I wanted for is on the reference of Goldberg. | |
| Apr 22, 2020 at 16:41 | comment | added | Mikhail Borovoi | Anyway, if you state your question clearly and read the description of the Weyl group on page 1272 of the reference in the answer of "Not a grad student", you can answer your question yourself, at least in the case when $G$ is quasi- split. Concerning the general case, you can ask a question at Math.StackExchange.com for the description of the Weyl group and the root system of your group $G$. | |
| Apr 22, 2020 at 14:06 | comment | added | Mikhail Borovoi | The question is still not clear. First, $w\cdot P$ is not standard. Second, you write: "then I am wondering whether $M'$ should be of the form ${\rm GL}_{b_1}(E) \times \dotsb \times {\rm GL}_{b_r}(E) \times U(W)$..." What do you mean by "of the form"? | |
| Apr 22, 2020 at 14:01 | history | closed |
LSpice ARG Dima Pasechnik Desiderius Severus Mikhail Borovoi |
Needs details or clarity | |
| Apr 22, 2020 at 8:09 | comment | added | Monty | @Mikhail, Oh, I have read your comment so late. I am very sorry for not explaing the notations in detail. I corrected my question more precisely. I would appreciate if you see it again. | |
| Apr 22, 2020 at 8:06 | history | edited | Monty | CC BY-SA 4.0 |
deleted 11 characters in body
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| Apr 22, 2020 at 7:57 | history | edited | Monty | CC BY-SA 4.0 |
deleted 11 characters in body
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| Apr 18, 2020 at 19:49 | review | Close votes | |||
| Apr 22, 2020 at 14:05 | |||||
| Apr 18, 2020 at 19:30 | history | edited | LSpice | CC BY-SA 4.0 |
Deleted pre- and post-lude; minor proofreading
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| Apr 18, 2020 at 18:15 | answer | added | Not a grad student | timeline score: 1 | |
| Apr 18, 2020 at 17:25 | history | edited | Mikhail Borovoi |
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| Apr 18, 2020 at 17:24 | comment | added | Mikhail Borovoi | Dear Monty, I suggest that you edit your question. Make an effort to explain your notation (and maybe to correct grammar and typos ... ). What is "another associated standard parabolic subgroup"? Associated to what? What are standard parabolic subgroups if you have not chosen a maximal torus and a Borel subgroup? Where does your element $w$ live? In $F$-points or in $\bar F$-points? The answer to your question might depend on all this. | |
| Apr 18, 2020 at 16:19 | history | asked | Monty | CC BY-SA 4.0 |