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Models of Compact Simple Kantor Triple Systems Defined on a Class of Structurable Algebras of Skew-Dimension One.
- Source :
-
Communications in Algebra . Oct2006, Vol. 34 Issue 10, p3801-3815. 15p. - Publication Year :
- 2006
-
Abstract
- Let (A,-): = ℳ(J) be the 2 × 2-matrix algebra determined by Jordan algebra J: = H3(𝔸) of hermitian 3 × 3-matrices over a real composition algebra 𝔸, where (-) is the standard involution on A. We show that the triple systems BA(x,∼⃒,z), x,y,z ∈ A, are models of simple compact Kantor triple systems satisfying the condition (A), where BA(x,y,z) is the triple system obtained from the algebra (A,-) and (∼⃒) denotes a certain involution on A. In addition, we obtain an explicit formula for the canonical trace form for the triple systems BA(x,∼⃒,z). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00927872
- Volume :
- 34
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Communications in Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 23369163
- Full Text :
- https://doi.org/10.1080/00927870600862656