四川师范大学学报（自然科学版）2025，Vol.48Issue(4)：551-557,7.DOI:10.3969/j.issn.1001-8395.2025.04.013
Hom-Lie代数胚φ!TM的上同调
Cohomologies of Hom-Lie Algebroid φ!TM
摘要
Abstract
In this paper,first we show that cohomology with coefficients in the trivial representation,cohomologies of Hom-Lie al-gebra(gl(V),[·,·]β,Adβ)and Lie algebra(gl(V),[·,·])are isomorphic.When representation on R,we show that co-homologies of Hom-Lie algebroid φ!TM and Lie algebroid TM are isomorphic;when representation on C∞(M),we show that cohomol-ogies of Hom-Lie algebroid φ!TM and Lie algebroid TM are also isomorphic.关键词
Hom-Lie代数/Hom-Lie代数胚/表示/上同调群Key words
Hom-Lie algebras/Hom-Lie algebroids/representations/cohomologies分类
数学引用本文复制引用
邱爱保..Hom-Lie代数胚φ!TM的上同调[J].四川师范大学学报（自然科学版）,2025,48(4):551-557,7.基金项目
江西省教育厅科技项目(190832) （190832）
