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A class of nonassociative algebras and cogebras

2005/01/07 by Michel Goze, Goze, Michel
Mathematics · #16Axx #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.RA #msc:16Axx

paper · pdf · doi:10.48550/arxiv.math/0501097

10 pages

arxiv created 2005/01/07 · openalex publication_date 2005/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present classes of nonassociative algebras whose associator satisfies invariance conditions given by the action of the 3 order symmetric group. Amongst these algebras we find the wellknown Pre Lie or Vinberg algebras and the Lie admissible algebras. We study the corresponding noncoassociative cogebras.

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