On Griess Algebras
| dc.creator | Roitman, Michael | |
| dc.date | 2003-02-03 | |
| dc.date | 2008-08-13 | |
| dc.date.accessioned | 2026-07-07T09:56:16Z | |
| dc.date.available | 2026-07-07T09:56:16Z | |
| dc.description | In this paper we prove that for any commutative (but in general non-associative) algebra $A$ with an invariant symmetric non-degenerate bilinear form there is a graded vertex algebra $V = V_0 \oplus V_2 \oplus V_3\oplus ...$, such that $\dim V_0 = 1$ and $V_2$ contains $A$. We can choose $V$ so that if $A$ has a unit $e$, then $2e$ is the Virasoro element of $V$, and if $G$ is a finite group of automorphisms of $A$, then $G$ acts on $V$ as well. In addition, the algebra $V$ can be chosen with a non-degenerate invariant bilinear form, in which case it is simple. | |
| dc.description | This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0302021 | |
| dc.identifier | http://arxiv.org/abs/math/0302021 | |
| dc.identifier | SIGMA 4 (2008), 057, 35 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.057 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/166918 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B69 | |
| dc.title | On Griess Algebras | |
| dc.type | text |