Timeline for Quotient of Lie rings and quotient of Lie groups!
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 30, 2013 at 14:37 | vote | accept | Alireza | ||
| Apr 30, 2013 at 8:04 | answer | added | Salvatore Siciliano | timeline score: 2 | |
| Apr 30, 2013 at 2:18 | comment | added | MTS | I think this still needs to be clarified. Take $g$ to be a Lie algebra, $I \subseteq g$ an ideal. Are you asking whether $U(I)$ (the universal enveloping algebra of $I$) is an ideal in the universal enveloping algebra $U(g)$? | |
| Apr 30, 2013 at 1:59 | comment | added | Alireza | @Sam Gunningham: Exactly! | |
| Apr 30, 2013 at 1:55 | comment | added | Sam Gunningham | Lie ring = universal enveloping algebra? | |
| Apr 30, 2013 at 1:52 | comment | added | Alireza | Take a Lie ring and build a quotient out of it! Here I mean if $g$ is a Lie algebra and $L$ its Lie ring (an associative ring equipped with a bracket operator $[,]$ can be made into a Lie ring), then $L/I$ defines a quotient ring where I is a two-sided ideal in $L$. | |
| Apr 30, 2013 at 1:51 | comment | added | MTS | I don't understand your question. What quotient ring do you mean? What does a Lie group have to do with anything? | |
| Apr 30, 2013 at 1:03 | comment | added | Fernando Muro | You need not prove that the quotient of a Lie algebra by an ideal is a Lie algebra, that's done in books. BTW, what do you mean by 'quotient ring'? | |
| Apr 29, 2013 at 23:55 | history | asked | Alireza | CC BY-SA 3.0 |