| dc.creator | Shapiro, D.B. | |
| dc.creator | O'Ryan, M. | |
| dc.date | 2013-09-30T20:58:31Z | |
| dc.date | 2013-09-30T20:58:31Z | |
| dc.date | 2013-12 | |
| dc.date.accessioned | 2017-03-07T15:00:07Z | |
| dc.date.available | 2017-03-07T15:00:07Z | |
| dc.identifier | Fuente: JOURNAL OF PURE AND APPLIED ALGEBRA Volumen: 217 Número: 12 Páginas: 2263-2273 DOI: 10.1016/j.jpaa.2013.03.005 | |
| dc.identifier | 0022-4049 | |
| dc.identifier | http://dspace.utalca.cl/handle/1950/9380 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/376381 | |
| dc.description | Daniel B. Shapiro,Department of Mathematics, Ohio State University, Columbus, OH 43210, United States
Manuel O’Ryan, Instituto de Matematica y Fisica, Universidad de Talca, Casilla 721 Talca, Chile | |
| dc.description | If θ is a regular, symmetric d-linear form on a vector space V, the center of (V,θ) is the set of linear maps f:V→V symmetric relative to θ. If d>2, it is well known that this center is a commutative subalgebra of End(V).
When A is a Frobenius algebra with “trace” ℓ, we investigate the trace form φ(x)=ℓ(xd) on A. When A is commutative, A itself is the center of that trace form and the orthogonal group O(V,φ) is closely related to the automorphism group of the algebra A. In non-commutative cases, trace forms are more difficult to analyze. If A is a symmetric algebra, the center of the degree d trace form on A turns out to be N(A+), the nucleus of the induced Jordan algebra | |
| dc.language | en | |
| dc.publisher | ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS | |
| dc.title | Centers of higher degree trace forms | |
| dc.type | Artículos de revistas | |
