Representations of 3‐Dimensional Simple Multiplicative Hom‐Lie Algebras

Xiuxian Li

Advances in Mathematical Physics, 2013, vol. 2013, issue 1

Abstract: The aim of this paper is to study representations of 3‐dimensional simple multiplicative Hom‐Lie algebras (𝔤; [·, ·]; α) (whose structure is of A1‐type). In this paper we can see that a finite dimensional representation of (𝔤; [·, ·]; α) is not always completely reducible, and a representation of (𝔤; [·, ·]; α) is irreducible if and only if it is a regular Lie‐type representation.

Date: 2013
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https://doi.org/10.1155/2013/938901

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:938901

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