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A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems

Kamiya, Noriaki; Mondoc, Daniel LU and Okubo, Susumu (2010) In Bulletin of the Australian Mathematical Society 81(1). p.132-155
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Lie superalgebras, triple systems
in
Bulletin of the Australian Mathematical Society
volume
81
issue
1
pages
132 - 155
publisher
Cambridge University Press
external identifiers
  • wos:000275248000012
  • scopus:77957241872
ISSN
0004-9727
DOI
10.1017/S0004972709000732
language
English
LU publication?
yes
id
28be6d4b-ecb9-404b-ab19-1bec8869f8f4 (old id 1589735)
date added to LUP
2010-04-19 14:44:24
date last changed
2018-05-29 09:59:02
@article{28be6d4b-ecb9-404b-ab19-1bec8869f8f4,
  abstract     = {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.},
  author       = {Kamiya, Noriaki and Mondoc, Daniel and Okubo, Susumu},
  issn         = {0004-9727},
  keyword      = {Lie superalgebras,triple systems},
  language     = {eng},
  number       = {1},
  pages        = {132--155},
  publisher    = {Cambridge University Press},
  series       = {Bulletin of the Australian Mathematical Society},
  title        = {A Structure Theory of (-1,-1)-Freudenthal Kantor Triple Systems},
  url          = {http://dx.doi.org/10.1017/S0004972709000732},
  volume       = {81},
  year         = {2010},
}