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《山东大学学报(理学版)》 ›› 2024, Vol. 59 ›› Issue (2): 32-37,46.doi: 10.6040/j.issn.1671-9352.0.2022.665

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微分Lie-Yamaguti超代数的上同调与形变

腾文(),龙凤山   

  1. 贵州财经大学数学与统计学院, 贵州 贵阳 550025
  • 收稿日期:2022-12-16 出版日期:2024-02-20 发布日期:2024-02-20
  • 作者简介:腾文(1986—)，男，讲师，博士，研究方向为代数学及其应用. E-mail: tengwen@mail.gufe.edu.cn
  • 基金资助:
    贵州省科技计划项目(黔科合基础[2018]1020);贵州省高等学校系统建模与数据挖掘重点实验室项目(2023013);贵州省科技厅基金项目(黔科合基础-ZK[2023]一般025)

Cohomology and deformation of differential Lie-Yamaguti superalgebras

Wen TENG(),Fengshan LONG   

  1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, Guizhou, China
  • Received:2022-12-16 Online:2024-02-20 Published:2024-02-20

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摘要：

给出微分Lie-Yamaguti超代数的表示和上同调，并根据上同调考虑微分Lie-Yamaguti超代数的线性形变。

关键词: 微分Lie-Yamaguti超代数, 上同调, 线性形变

Abstract:

Firstly, the representation and cohomology of differential Lie-Yamaguti superalgebras are introduced. Then, the linear deformation of differential Lie-Yamaguti superalgebras is considered according to cohomology.

Key words: differential Lie-Yamaguti superalgebra, cohomology, linear deformation

中图分类号: 

  • O152.5
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