Strongly nondegenerate Lie algebras
| dc.creator | Perera, Francesc | |
| dc.creator | Molina, Mercedes Siles | |
| dc.date | 2008-02-12 | |
| dc.date.accessioned | 2026-07-07T09:20:13Z | |
| dc.date.available | 2026-07-07T09:20:13Z | |
| dc.description | Let $A$ be a semiprime 2 and 3-torsion free non-commutative associative algebra. We show that the Lie algebra $\der(A)$ of (associative) derivations of $A$ is strongly non-degenerate, which is a strong form of semiprimeness for Lie algebras, under some additional restrictions on the center of $A$. This result follows from a description of the quadratic annihilator of a general Lie algebra inside appropriate Lie overalgebras. Similar results are obtained for an associative algebra $A$ with involution and the Lie algebra $\sder(A)$ of involution preserving derivations of $A$. | |
| dc.description | 9 pgs. To appear in the Proc. of the AMS | |
| dc.identifier | https://arxiv.org/abs/0802.1591 | |
| dc.identifier | http://arxiv.org/abs/0802.1591 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154649 | |
| dc.subject | Rings and Algebras | |
| dc.subject | 17B60, 16W25 | |
| dc.title | Strongly nondegenerate Lie algebras | |
| dc.type | text |