Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras | Zendy

Xiuxian Li | Zendy

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Representations of 3-Dimensional Simple Multiplicative Hom-Lie Algebras

Author(s) -

Xiuxian Li

Publication year - 2013

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2013/938901

Subject(s) - multiplicative function , mathematics , combinatorics , physics , matrix (chemical analysis) , path (computing) , algebra over a field , pure mathematics , mathematical analysis , computer science , chemistry , chromatography , programming language

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

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