Work

Non-associative and non-commutative Poisson structures on Filiform Lie algebras

Year: 2025

Type: article

Abstract: In this paper, we study the non-associative and non-commutative Poisson structures on filiform Lie algebras $ L_n $ and $ Q_{2m} $ and then characterize the commutative and associative Poisson structures on $ L_n $ and $ Q_{2m} $. Besides, we discuss the relationships between some non-associative algebras.

Source: AIMS Mathematics

DOI: 10.3934/math.2025737

Authors: Yuqiu Sheng, Jixia Yuan

Institutions: Bohai University, Heilongjiang University

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: National Science Foundation, Heilongjiang University, National Natural Science Foundation of China