Timeline for Natural appeareances of (commutative) algebras in $\mathfrak g$-modules
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 28, 2020 at 12:30 | comment | added | Pedro | Hola @MarcoFarinati ! Of course. I am looking for something similar to: a Lie algebroid on $M$ is the same as a Lie—Rinehart pair $(C^\infty(M),\mathfrak g)$. So I guess the equivalent I want here is just some vector fields that satisfy the defining relations on $\mathfrak g$, yeah. Perhaps there are more interesting examples... | |
| Jun 28, 2020 at 4:14 | comment | added | Marco Farinati | Deriving the action of G in C infty you always get an action of the Lie algebra by derivations on functions | |
| Jun 28, 2020 at 4:11 | comment | added | Marco Farinati | Hi Pedro. Any context in mind? If $\mathfrak g=0$ then Tour question is "what is a natural comm algebra?". If the answer is "a space", then with $\mathfrak g$ then answer is "a space with some vector fields".. I know you know that answer, but what are you looking for? The symmetric algebra in some natural representation? | |
| Jun 23, 2020 at 17:23 | history | asked | Pedro | CC BY-SA 4.0 |