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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.
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author
; and
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
2016-04-01 13:41:33
date last changed
2025-10-14 13:18:29
@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}},
  keywords     = {{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}},
  doi          = {{10.1017/S0004972709000732}},
  volume       = {{81}},
  year         = {{2010}},
}