Timeline for Action of the endomorphism monoid on an irreducible GL-module
Current License: CC BY-SA 3.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| S Oct 8, 2013 at 14:56 | history | bounty ended | CommunityBot | ||
| S Oct 8, 2013 at 14:56 | history | notice removed | CommunityBot | ||
| Oct 5, 2013 at 8:43 | answer | added | Rami | timeline score: -1 | |
| Oct 3, 2013 at 21:05 | comment | added | Jesko Hüttenhain | @Rami: You are completely correct, that's what I mean. If it's easy to see that $M.v$ is a variety, please answer with a proof =). | |
| Oct 3, 2013 at 16:09 | comment | added | Rami | Am I understand correctly that: 1.$M$ is the monoid of $n \times n$ matrices. 2. $M.v=\{mv|m\in M\}$? If yes, it's look to easy. What did I miss? | |
| S Sep 30, 2013 at 13:10 | history | bounty started | Jesko Hüttenhain | ||
| S Sep 30, 2013 at 13:10 | history | notice added | Jesko Hüttenhain | Draw attention | |
| Sep 28, 2013 at 13:27 | comment | added | Jesko Hüttenhain | @AndyB: Yea, that's a really rare case unfortunately. | |
| Sep 27, 2013 at 21:53 | comment | added | Andy B | If it is closed it's easy to identify it as a scheme: Let $f : \mathbb{C}[V] \to \mathbb{C}[G]$ be defined by taking the $i$-th coordinate of $V$ to the $i$-th entry of $g.v$ (where $g$ is a matrix of variables). Your matrix orbit wants to be $Spec( \mathbb{C}[V]/\ker(f))$. | |
| Sep 27, 2013 at 21:18 | comment | added | Jesko Hüttenhain | @BenjaminSteinberg: I had originally thought that this would translate to a general question about algebraic monoids, but apparently it is rather special to the case of the general linear group (and the matrix monoid). Of course, I will probably follow your advice if this question gets no answers. | |
| Sep 27, 2013 at 16:47 | comment | added | Benjamin Steinberg | Lex Renner and Mohan Putcha are the experts in algebraic monoids. You might ask them. | |
| Sep 27, 2013 at 13:01 | history | asked | Jesko Hüttenhain | CC BY-SA 3.0 |