Classes of structurable algebras of skew-rank

Classes of structurable algebras of skew-rank

Let R be a ring such that 2, 3 ∈ R × . We construct classes of structurable algebras over R whose residue class algebras have skew-dimension 1. These are matrix algebras or forms of matrix algebras which do not necessarily arise out of separable Jordan algebras of degree 3. As an application, we giv...

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Veröffentlicht in:Israel journal of mathematics 2010-12, Vol.180 (1), p.425-460
1. Verfasser: Pumplün, S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Zusammenfassung:Let R be a ring such that 2, 3 ∈ R × . We construct classes of structurable algebras over R whose residue class algebras have skew-dimension 1. These are matrix algebras or forms of matrix algebras which do not necessarily arise out of separable Jordan algebras of degree 3. As an application, we give canonical examples of structurable algebras of large dimension.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-010-0110-1