A finite number of defining relations and a UCE theorem of the elliptic Lie algebras and superalgebras with rank $\geq 2$
| dc.creator | Yamane, Hiroyuki | |
| dc.date | 2004-08-26 | |
| dc.date.accessioned | 2026-07-07T05:11:35Z | |
| dc.date.available | 2026-07-07T05:11:35Z | |
| dc.description | In this paper, we give a finite number of defining relations satisfied by a finite number of generators for the elliptic Lie algebras and superalgebras ${\frak g}_R$ with rank $\geq 2$. Here the $R$'s denote the reduced and non-reduced elliptic root systems with rank $\geq 2$. We also show that if ${\cal L}$ is an extended affine Lie algebra (EALA) whose non-isotropic roots form the $R$, then there exists a natural homomorphism ${\cal F}:{\frak g}_R \to{\cal L}$, which also give a universal central extension (UCE) surjective map from $[{\frak g}_R,{\frak g}_R]$ to the core of ${\cal L}$. (More precisely, we take a ${\bar {\frak g}}_R$ instead of the ${\frak g}_R$.) | |
| dc.description | 30 pages | |
| dc.identifier | https://arxiv.org/abs/math/0408362 | |
| dc.identifier | http://arxiv.org/abs/math/0408362 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72290 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 17B65 | |
| dc.title | A finite number of defining relations and a UCE theorem of the elliptic Lie algebras and superalgebras with rank $\geq 2$ | |
| dc.type | text |