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JP Journal of Algebra, Number Theory and Applications

JP Journal of Algebra, Number Theory and Applications
Volume 6, Issue 3, Pages 537 - 550 (December 2006)

EXAMPLES OF PEIRCE DECOMPOSITION OF GENERALIZED JORDAN TRIPLE SYSTEMS OF SECOND ORDER II ? BALANCED CLASSICAL CASES ?

Noriaki Kamiya (Japan)

Abstract:

In this paper, we consider examples of the Peirce decomposition of simple balanced generalized Jordan triple systems of second order associated with Lie algebras. By virtue of choice of a tripotent element for these triple systems, we can realize the decomposition without using the root systems of Lie algebras.

Keywords and phrases:

triple systems, Lie algebras.

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