Timeline for The universal envelope U(L) is a PI-algebra iff L is abelian
Current License: CC BY-SA 4.0
6 events
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| Jun 23, 2022 at 15:49 | comment | added | Salvatore Siciliano | Actually, the result holds for arbitrary Lie algebras over fields of characteristic zero. This was noticed by Bahturin in his book "Identities on Lie algebras". | |
| May 1, 2022 at 6:49 | vote | accept | Functor | ||
| May 1, 2022 at 5:57 | history | edited | Grisha Papayanov | CC BY-SA 4.0 |
added 63 characters in body
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| May 1, 2022 at 5:56 | comment | added | Grisha Papayanov | @YCor That is true; the article only claims the result for finite-dimensional Lie algebras. | |
| May 1, 2022 at 5:44 | comment | added | YCor | But this fact (existence of a non-abelian 2-dimensional or 3-dimensional nonabelian subalgebra) is true for finite-dimensional non-abelian Lie algebras, but not in general. For instance, it fails for free Lie algebras. | |
| May 1, 2022 at 5:17 | history | answered | Grisha Papayanov | CC BY-SA 4.0 |