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On n-ary Hom-Nambu and Hom-Maltsev algebras (1004.4795v1)
Published 27 Apr 2010 in math.RA, math-ph, and math.MP
Abstract: Hom-alternative and Hom-Jordan algebras are shown to give rise to Hom-Nambu algebras of arities 2{k+1} + 1. The class of n-ary Hom-Maltsev algebras is studied. Multiplicative n-ary Hom-Nambu-Lie algebras are shown to be n-ary Hom-Maltsev algebras. Examples of ternary Hom-Maltsev algebras that are not ternary Hom-Nambu-Lie algebras are given. Ternary Hom-Maltsev algebras are shown to arise from composition algebras.