Examples of Peirce decomposition for compact simple Kantor triple systems
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1670160
- author
- Kamiya, Noriaki and Mondoc, Daniel LU
- publishing date
- 2007
- 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
- 2016-04-01 16:40:28
- date last changed
- 2018-11-21 20:43:19
@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}}, keywords = {{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}}, }