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Please use this identifier to cite or link to this item: http://dspace.utalca.cl/handle/1950/9380

Title: Centers of higher degree trace forms
Authors: Shapiro, D.B.
O'Ryan, M.
Issue Date: Dec-2013
Citation: Fuente: JOURNAL OF PURE AND APPLIED ALGEBRA Volumen: 217 Número: 12 Páginas: 2263-2273 DOI: 10.1016/j.jpaa.2013.03.005
Abstract: 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
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
URI: http://dspace.utalca.cl/handle/1950/9380
ISSN: 0022-4049
Appears in Collections:Artículos en publicaciones ISI - Universidad de Talca

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