3-李-Rinehart Color代数的上同调与形变  

Cohomology and Deformations of 3-Lie-Rinehart Color Algebras

作　　者：腾文 游泰杰 TENG Wen;YOU Taijie(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,China;School of Mathematics and Statistics,Guizhou University of Finance and Economics,Guiyang 550025,China)

机构地区：[1]贵州师范大学数学科学学院,贵阳550025 [2]贵州财经大学数统学院,贵阳550025

出　　处：《吉林大学学报（理学版）》2022年第1期35-43,共9页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11761017);贵州省科技厅基金一般项目(批准号:黔科合基础[2020]1Y005).

摘　　要：首先,通过引入3-李-Rinehart color代数的概念,利用3-李-Rinehart color代数的表示讨论其上同调;其次,给出3-李-Rinehart color代数的1-余循环和2-余循环之间的关系;最后,作为应用,通过上同调理论刻画其形变.Firstly,by introducing the concept of 3-Lie-Rinehart color algebra and using the representation of 3-Lie-Rinehart color algebras,we discussed its cohomology.Secondly,we gave relationship between 1-cocycle and 2-cocycle of 3-Lie-Rinehart color algebras.Finally,as an application,we characterized the deformations of 3-Lie-Rinehart color algebras by the cohomology theory.

关 键 词：3-李-Rinehart color代数 上同调 形变 

分 类 号：O152.5[理学—数学]