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Symmetric triality relations and structurable algebras
- Source :
-
Linear Algebra & its Applications . Feb2005, Vol. 396, p189-222. 34p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper, some properties of algebras satisfying local symmetric triality relations have been studied, including both generalized symmetric composition algebras and the conjugate algebras of any structurable algebras. We also discuss a general method of constructing Lie algebras from such a system, which can permit a construction of the magic square. [Copyright &y& Elsevier]
- Subjects :
- *RELATION algebras
*ALGEBRA
*MATHEMATICAL analysis
*NUMBER theory
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 396
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 15985261
- Full Text :
- https://doi.org/10.1016/j.laa.2004.09.001