| Title | A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems |
| Authors | Noriaki Kamiya, Daniel Mondoc, Susumu Okubo |
| Alternative Location | http://dx.doi.org/10.1017/S..., Restricted Access |
| Publication | Bulletin of the Australian Mathematical Society |
| Year | 2010 |
| Volume | 81 |
| Issue | 1 |
| Pages | 132 - 155 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Cambridge University Press |
| Abstract English | In this paper we discuss the simplicity criteria of (-1, -1)-Freudenthal Kantor triple systems and give examples of such triple systems, from which we can construct some Lie superalgebras. We also show that we can associate a Jordan triple system to any (epsilon, delta)-Freudenthal Kantor triple system. Further, we introduce the notion of delta-structurable algebras and connect them to (-1, delta)-Freudenthal Kantor triple systems and the corresponding Lie (super)algebra construction. |
| Keywords | Lie superalgebras, triple systems, |
| ISBN/ISSN/Other | ISSN: 0004-9727 |
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