Timeline for Motivating the Casimir element
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 31, 2020 at 4:53 | comment | added | Praphulla Koushik | @DanielLitt I think I understand what is happening here.. I will think about it and ask if I have any specific question.. | |
| May 31, 2020 at 2:44 | comment | added | Daniel Litt | @PraphullaKoushik — the point is that the Lie algebra is the tangent space at the identity, or equivalently the space of left-invariant vector fields (since such a vector field is determined by its value at the identity). Now think about the algebra this generates... | |
| May 30, 2020 at 14:46 | comment | added | Praphulla Koushik | @Meow any book D-modules? Isn't it too broad suggestion? :) Thanks for suggestion of Gatisgory notes... I will see :) | |
| May 30, 2020 at 13:42 | comment | added | Pulcinella | @DanielLitt Do the other generators of the centre have a similar differential geometric interpretation? | |
| May 30, 2020 at 13:41 | comment | added | Pulcinella | @PraphullaKoushik Try a book/notes on D modules, e.g. 6.9 of Gaitgory's notes on geometric representation theory. | |
| May 30, 2020 at 4:39 | comment | added | Praphulla Koushik | Hi, I know definitions of Lie algebra $\mathfrak{g}$ of a Lie group $G$, Universal env. alegra $U(\mathfrak{g})$ of a Lie algebra $\mathfrak{g}$, differential operators on $G$.. Can you suggest some reference to see more details (possibly a proof) of your statement "$U(\mathfrak{g})$ is the algebra of left-invariant differential operators on $G$".. | |
| Dec 14, 2013 at 4:51 | history | edited | Daniel Litt | CC BY-SA 3.0 |
grammar and minor clarifications.
|
| Dec 13, 2013 at 7:47 | history | answered | Daniel Litt | CC BY-SA 3.0 |