A STRUCTURE THEORY OF (−1,−1)-FREUDENTHAL KANTOR TRIPLE SYSTEMS

Autor:	Daniel Mondoc, Susumu Okubo, Noriaki Kamiya
Rok vydání:	2009
Předmět:	Algebra Pure mathematics Triple system General Mathematics media_common.quotation_subject Simplicity Construct (python library) Algebra over a field Mathematics media_common
Zdroj:	Bulletin of the Australian Mathematical Society. 81:132-155
ISSN:	1755-1633 0004-9727
DOI:	10.1017/s0004972709000732
Popis:	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 (ε,δ)-Freudenthal Kantor triple system. Further, we introduce the notion ofδ-structurable algebras and connect them to (−1,δ)-Freudenthal Kantor triple systems and the corresponding Lie (super)algebra construction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::db68db630634412821bcc573cbdc76c8 https://doi.org/10.1017/s0004972709000732 Zobrazit plný text záznamu