The Peirce decomposition for generalized Jordan triple systems of finite order
(2007) In Journal of Algebra 310(2). p.829-857- Abstract
- Every tripotent e of a generalized Jordan triple system J of order I uniquely defines a decomposition into the direct sum of l(2) + 2l components. This decomposition generalizes the known Peirce decomposition of a Jordan triple system and of a generalized Jordan triple system of second order, and is the first step in determining the structure of a generalized Jordan triple system in terms of the tripotent. (c) 2006 Published by Elsevier Inc.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/665977
- author
- Kantor, Issai LU and Rowen, Louis
- organization
- publishing date
- 2007
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- idempotent, tripotent, Peirce decomposition, Jordan triple system, Kantor triple, graded Lie algebra
- in
- Journal of Algebra
- volume
- 310
- issue
- 2
- pages
- 829 - 857
- publisher
- Elsevier
- external identifiers
-
- wos:000245721100015
- scopus:33847657140
- ISSN
- 0021-8693
- DOI
- 10.1016/j.jalgebra.2006.06.033
- language
- English
- LU publication?
- yes
- id
- a10c0049-5852-4663-88ab-25d27dfa93b7 (old id 665977)
- date added to LUP
- 2016-04-01 12:01:03
- date last changed
- 2022-03-28 19:01:22
@article{a10c0049-5852-4663-88ab-25d27dfa93b7, abstract = {{Every tripotent e of a generalized Jordan triple system J of order I uniquely defines a decomposition into the direct sum of l(2) + 2l components. This decomposition generalizes the known Peirce decomposition of a Jordan triple system and of a generalized Jordan triple system of second order, and is the first step in determining the structure of a generalized Jordan triple system in terms of the tripotent. (c) 2006 Published by Elsevier Inc.}}, author = {{Kantor, Issai and Rowen, Louis}}, issn = {{0021-8693}}, keywords = {{idempotent; tripotent; Peirce decomposition; Jordan triple system; Kantor triple; graded Lie algebra}}, language = {{eng}}, number = {{2}}, pages = {{829--857}}, publisher = {{Elsevier}}, series = {{Journal of Algebra}}, title = {{The Peirce decomposition for generalized Jordan triple systems of finite order}}, url = {{http://dx.doi.org/10.1016/j.jalgebra.2006.06.033}}, doi = {{10.1016/j.jalgebra.2006.06.033}}, volume = {{310}}, year = {{2007}}, }