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Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras

Published 14 Sep 2015 in math-ph and math.MP | (1509.03948v1)

Abstract: In this paper, we introduce the concepts of Rota-Baxter operators and differential operators with weights on a multiplicative $n$-ary Hom-algebra. We then focus on Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras and show that they can be derived from Rota-Baxter Hom-Lie algebras, Hom-preLie algebras and Rota-Baxter commutative Hom-associative algebras. We also explore the connections between these Rota-Baxter multiplicative 3-ary Hom-Nambu-Lie algebras.

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Authors (2)

  1. Bing Sun 
  2. Liangyun Chen 

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