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Models of compact simple Kantor triple systems defined on a class of structurable algebras of skew-dimension one
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2006 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 34, no 10, 3801-3815 p.Article in journal (Refereed) Published
Abstract [en]

Let (A, (-)) := M(J) be the 2 x 2-matrix algebra determined by Jordan algebra J : = H-3(A) of hermitian 3 x 3-matrices over a real composition algebra A, where (-) is the standard involution on A. We show that the triple systems BA (x, (y) over bar (similar to), z), x, y, z is an element of A, are models of simple compact Kantor triple systems satisfying the condition (A), where B-A (x, y, z) is the triple system obtained from the algebra (A, (-)) and ((similar to)) denotes a certain involution on A. In addition, we obtain an explicit formula for the canonical trace form for the triple systems BA (x, (y) over bar (similar to), z).

Place, publisher, year, edition, pages
2006. Vol. 34, no 10, 3801-3815 p.
Keyword [en]
composition algebras, Kantor triple systems, structurable algebras
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-37698DOI: 10.1080/00927870600862656ISI: 000241360900024Scopus ID: 2-s2.0-33845905177OAI: oai:DiVA.org:kth-37698DiVA: diva2:434831
Note
QC 20110816Available from: 2011-08-16 Created: 2011-08-16 Last updated: 2017-12-08Bibliographically approved

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