The Peirce decomposition for generalized Jordan triple systems of finite order

Issai Kantor, Louis Rowen

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)829-857
Number of pages29
JournalJournal of Algebra
Volume310
Issue number2
DOIs
StatePublished - 15 Apr 2007

Keywords

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

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