Examples of Peirce decomposition for compact simple Kantor triple systems

Noriaki Kamiya, Daniel Mondoc

Research output: Contribution to journalArticlepeer-review

Abstract

Every tripotent which is a left unit of a compact simple Kantor
triple system defines a decomposition of the space of the triple into a direct sum of four components, hence it defines a generalization of the Peirce decomposition for Jordan triple systems. We give examples of the Peirce decomposition for classical compact simple Kantor triple systems and for (exceptional) compact simple Kantor triple systems defined on structurable algebras with two commuting involutions.
Original languageEnglish
Pages (from-to)325-347
JournalAlgebras, Groups and Geometries
Volume24
Issue number3
Publication statusPublished - 2007
Externally publishedYes

Subject classification (UKÄ)

  • Mathematics

Free keywords

  • triple systems
  • structurable algebras
  • Peirce decomposition

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