中山大学学报（自然科学版）（中英文）2025，Vol.64Issue(4)：115-127,13.DOI:10.13471/j.cnki.acta.snus.ZR20240283
修正λ-微分Lie-Yamaguti代数的形变和扩张
Deformations and extensions of modified λ-differential Lie-Yamaguti algebras
摘要
Abstract
The modified λ-differential Lie-Yamaguti algebras are considered,in which a modified λ-differential Lie-Yamaguti algebra consisting of a Lie-Yamaguti algebra and a modified λ-differential operator.First we introduce the representation of modified λ-differential Lie-Yamaguti algebras.Furthermore,we establish the cohomology of a modified λ-differential Lie-Yamaguti algebra with coefficients in a representation.Finally,we investigate the one-parameter formal deformations and Abelian extensions of modified λ-differential Lie-Yamaguti algebras using the second cohomology group.关键词
Lie-Yamaguti代数/修正λ-微分算子/表示和上同调/单参数形式变形/Abelian扩张Key words
Lie-Yamaguti algebra/modified λ-differential operator/representation and cohomology/one-parameter formal deformation/Abelian extension分类
数理科学引用本文复制引用
腾文,潘越伟..修正λ-微分Lie-Yamaguti代数的形变和扩张[J].中山大学学报（自然科学版）（中英文）,2025,64(4):115-127,13.基金项目
Supported by National Natural Science Foundation of China(12161013) （12161013）
Research Projects of Guizhou University of Commerce in 2024 （）
