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Left unital Kantor triple systems and structurable algebras
- Publication Year :
- 2012
-
Abstract
- Left unital Kantor triple systems will be shown to correspond to structurable algebras endowed with an involutive automorphism. A related result is proved for (-1,-1) Freudenthal-Kantor triple systems. Some consequences for the associated 5-graded Lie algebras and superalgebras are deduced too. In particular, left unital (-1,-1) Freudenthal-Kantor triple systems are shown to be intimately related to Lie superalgebras graded over the root system of type B(0,1).<br />Comment: 17 pages
- Subjects :
- Mathematics - Rings and Algebras
17A40, 17B60
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1205.2489
- Document Type :
- Working Paper