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arXiv · 2001.07570

Hom 3-Lie-Rinehart Algebras

Ruipu Bai·Xiaojuan Lie·Yingli Wu
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Abstract

After endowing with a 3-Lie-Rinehart structure on Hom 3-Lie algebras, we obtain a class of special Hom 3-Lie algebras, which have close relationships with representations of commutative associative algebras. We provide a special class of Hom 3-Lie-Rinehart algebras, called split regular Hom 3-Lie-Rinehart algebras, and we then characterize their structures by means of root systems and weight systems associated to a splitting Cartan subalgebra.

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Ruipu Bai, Xiaojuan Lie, Yingli Wu. 2020-01-17. Hom 3-Lie-Rinehart Algebras. https://arxiv.org/abs/2001.07570

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