3-dimensional algebras. Part 1. Skew-symmetric case

2017/03/26 by Elisabeth Remm, Remm, Elisabeth
Mathematics · #15A72 #17A01 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1703.08869

openalex publication_date 2017/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An algebra is called skew-symmetric if its multiplication operation is a skew-symmetric bilinear application. We determine all these algebras in dimension 3 over a field of characteristic different from 2. As an application, we determine the subvariety of 3-dimensional Hom-Lie algebras. For this type of algebras, we study also the dimension 4.

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