The Cohomology Structure of Hom-H-Pseudoalgebras

被引：2
作者：
Sun, Qinxiu [1 ]
Akinocho, Kamalou Dine Adissa [1 ]
机构：
[1] Zhejiang Univ Sci & Technol, Dept Math, Hangzhou, Zhejiang, Peoples R China
来源：
BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY | 2019年 / 50卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Hom-associative-H-pseudoalgebra; Hom-Lie H-pseudoalgebra; Gerstenhaber bracket; Schouten product; Cohomology;
D O I：
10.1007/s00574-018-0105-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The goal of this paper is to study cohomological theory of Hom-associative H-pseudoalgebras and Hom-Lie H-pseudoalgebras. We define Gerstenhaber bracket on the space of multilinear mappings of Hom-associative H-pseudoalgebra. Furthermore, the symmetric Schouten product and alternating Schouten product are studied. Using the Gerstenhaber bracket and alternating Schouten product, differential graded Lie algebra are constructed on the space of multilinear mappings of Hom-associative H-pseudoalgebra and Hom-Lie H-pseudoalgebras.
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收藏
页码：211 / 231
页数：21
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