The Peirce decomposition for generalized Jordan triple systems of finite order

Issai Kantor; Louis Rowen

doi:10.1016/j.jalgebra.2006.06.033

The Peirce decomposition for generalized Jordan triple systems of finite order

Issai Kantor
, Louis Rowen

Department of Mathematics

Lund University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Every tripotent e of a generalized Jordan triple system J of order l uniquely defines a decomposition into the direct sum of l² + 2 l 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.

Original language	English
Pages (from-to)	829-857
Number of pages	29
Journal	Journal of Algebra
Volume	310
Issue number	2
DOIs	https://doi.org/10.1016/j.jalgebra.2006.06.033
State	Published - 15 Apr 2007

Keywords

Graded Lie algebra
Idempotent
Jordan triple system
Kantor triple
Peirce decomposition
Tripotent

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10.1016/j.jalgebra.2006.06.033

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The Peirce decomposition for generalized Jordan triple systems of finite order

Abstract

Keywords

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