Commutation factors on generalized Lie algebras

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Abstract

Generalized Lie algebras or color algebras, as we shall call them, are described by an Abelian grading group Γ and a commutation factor ∈ defined on Γ. In this paper Γ is assumed to be finite. It is shown that color algebras with the pair (Γ,∈) can also be considered as color algebras with the different pair (Γ′,∈′) and that as a result a canonical pair (Γc,∈c) is possible. It is further shown that, in fact, a unique "minimal" (Γc,∈c) can be used for all algebras with the pair (Γ,∈).

Original languageEnglish (US)
Pages (from-to)2405-2412
Number of pages8
JournalJournal of Mathematical Physics
Volume26
Issue number10
DOIs
StatePublished - Jan 1 1985

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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