Work

Compatible root graded anti-pre-Lie algebraic structures on finite-dimensional complex simple Lie algebras

Year: 2025

Type: article

Abstract: We investigate the compatible root graded anti-pre-Lie algebraic structures on any finite-dimensional complex simple Lie algebra by the representation theory of [Formula: see text]. We show that there does not exist a compatible root graded anti-pre-Lie algebraic structure on a finite-dimensional complex simple Lie algebra except [Formula: see text], whereas there is exactly one compatible root graded anti-pre-Lie algebraic structure on [Formula: see text].

Source: International Journal of Geometric Methods in Modern Physics

DOI: 10.1142/s0219887825400390

Authors: Chengming Bai, Dongfang Gao

Institutions: Nankai University, Lyon 1 Université, Institut Camille Jordan

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, China Postdoctoral Science Foundation, National Postdoctoral Program for Innovative Talents