Timeline for Is the space of polynomial functions on M_n a faithful U(gl_n)-module?
Current License: CC BY-SA 2.5
5 events
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| Dec 25, 2010 at 16:44 | comment | added | Theo Johnson-Freyd | Thanks, but don't +1 too quickly, I realized there's a bit of an error. I do think that a "universal enveloping algebroid" style answer should work, but there might be better ones. In any case, I don't think very sheafily, but I do think about Lie algebroids sometimes. For definition and examples, they're locally all actions of Lie groups, but the idea is to forget which vector fields are the "constant" ones. For global results, you'll have to ask a geometer. | |
| Dec 25, 2010 at 16:41 | history | edited | Theo Johnson-Freyd | CC BY-SA 2.5 |
pointed out an error.
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| Dec 25, 2010 at 9:40 | comment | added | darij grinberg | Thanks, I've +1ed this although I don't understand much. Do you happen to know where one can learn about sheaves of Lie algebras / algebroids without having to know geometry? | |
| Dec 25, 2010 at 4:26 | comment | added | Theo Johnson-Freyd | Also, there very well might be a much more direct argument. This was the first that came to mind. | |
| Dec 25, 2010 at 4:25 | history | answered | Theo Johnson-Freyd | CC BY-SA 2.5 |