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Examples of Peirce decomposition for compact simple Kantor triple systems

Kamiya, Noriaki and Mondoc, Daniel LU (2007) In Algebras, Groups and Geometries 24(3). p.325-347
Abstract
Every tripotent which is a left unit of a compact simple Kantor

triple system defines a decomposition of the space of the triple into a direct sum of four components, hence it defines a generalization of the Peirce decomposition for Jordan triple systems. We give examples of the Peirce decomposition for classical compact simple Kantor triple systems and for (exceptional) compact simple Kantor triple systems defined on structurable algebras with two commuting involutions.
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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
triple systems, structurable algebras, Peirce decomposition
in
Algebras, Groups and Geometries
volume
24
issue
3
pages
325 - 347
publisher
Hadronic Press
ISSN
0741-9937
language
English
LU publication?
no
id
f7c87515-42e3-43e1-af4b-1d4c297b45f5 (old id 1670160)
date added to LUP
2010-09-15 18:08:40
date last changed
2016-06-29 09:11:59
@article{f7c87515-42e3-43e1-af4b-1d4c297b45f5,
  abstract     = {Every tripotent which is a left unit of a compact simple Kantor<br/><br>
triple system defines a decomposition of the space of the triple into a direct sum of four components, hence it defines a generalization of the Peirce decomposition for Jordan triple systems. We give examples of the Peirce decomposition for classical compact simple Kantor triple systems and for (exceptional) compact simple Kantor triple systems defined on structurable algebras with two commuting involutions.},
  author       = {Kamiya, Noriaki and Mondoc, Daniel},
  issn         = {0741-9937},
  keyword      = {triple systems,structurable algebras,Peirce decomposition},
  language     = {eng},
  number       = {3},
  pages        = {325--347},
  publisher    = {Hadronic Press},
  series       = {Algebras, Groups and Geometries},
  title        = {Examples of Peirce decomposition for compact simple Kantor triple systems},
  volume       = {24},
  year         = {2007},
}