A Peirce decomposition for generalized Jordan triple systems of second order

Isaiah Kantor, Noriaki Kamiya

Research output: Contribution to journalArticlepeer-review

14 Citations (SciVal)

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.
Original languageEnglish
Pages (from-to)5875-5913
JournalCommunications in Algebra
Volume31
Issue number12
DOIs
Publication statusPublished - 2003

Subject classification (UKÄ)

  • Mathematics

Keywords

  • Peirce decomposition
  • generalized Jordan triple systems of second order

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