A Peirce decomposition for generalized Jordan triple systems of second order
(2003) In Communications in Algebra 31(12). p.5875-5913- Abstract
- Every tripotent e of a generalized Jordan triple system of second order uniquely defines a decomposition of the space of the triple into a direct sum of eight components. This decomposition is a generalization of the Peirce decomposition for the Jordan triple system. The relations between components are studied in the case when e is a left unit.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/296543
- author
- Kantor, Isaiah LU and Kamiya, Noriaki
- organization
- publishing date
- 2003
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Peirce decomposition, generalized Jordan triple systems of second order
- in
- Communications in Algebra
- volume
- 31
- issue
- 12
- pages
- 5875 - 5913
- publisher
- Taylor & Francis
- external identifiers
-
- wos:000186302300012
- scopus:0242594576
- ISSN
- 0092-7872
- DOI
- 10.1081/AGB-120024858
- language
- English
- LU publication?
- yes
- id
- 065414e5-3b89-4e72-8b44-ea4b00d42e18 (old id 296543)
- date added to LUP
- 2016-04-01 12:33:56
- date last changed
- 2022-01-27 06:49:38
@article{065414e5-3b89-4e72-8b44-ea4b00d42e18, abstract = {{Every tripotent e of a generalized Jordan triple system of second order uniquely defines a decomposition of the space of the triple into a direct sum of eight components. This decomposition is a generalization of the Peirce decomposition for the Jordan triple system. The relations between components are studied in the case when e is a left unit.}}, author = {{Kantor, Isaiah and Kamiya, Noriaki}}, issn = {{0092-7872}}, keywords = {{Peirce decomposition; generalized Jordan triple systems of second order}}, language = {{eng}}, number = {{12}}, pages = {{5875--5913}}, publisher = {{Taylor & Francis}}, series = {{Communications in Algebra}}, title = {{A Peirce decomposition for generalized Jordan triple systems of second order}}, url = {{http://dx.doi.org/10.1081/AGB-120024858}}, doi = {{10.1081/AGB-120024858}}, volume = {{31}}, year = {{2003}}, }