Bihom-李代数的同调

doi:10.13371/j.cnki.chin.q.j.m.2022.03.002

数学季刊 ›› 2022, Vol. 37 ›› Issue (3): 237-247.doi: 10.13371/j.cnki.chin.q.j.m.2022.03.002

Bihom-李代数的同调

School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

收稿日期:2022-06-26 出版日期:2022-09-25 发布日期:2022-09-19
通讯作者: CHENG Yong-sheng (1973-), male, native of Lankao, Henan, professor of Henan University, Ph.D., engages in Lie algebra and its representation E-mail: yscheng@henu.edu.cn.
作者简介: CHENG Yong-sheng (1973-), male, native of Lankao, Henan, professor of Henan University, Ph.D., engages in Lie algebra and its representation; WANG Meng-ping (1991-), female, native of Zhoukou, Henan, master of Henan University, engages in Lie algebra.
基金资助:
Supported by the National Science Foundation of China (Grant Nos. 11047030, 11171055).

Homology of Bihom-Lie Algebras

School of Mathematics and Statistics, Henan University, Kaifeng 475004, China

Received:2022-06-26 Online:2022-09-25 Published:2022-09-19
Contact: CHENG Yong-sheng (1973-), male, native of Lankao, Henan, professor of Henan University, Ph.D., engages in Lie algebra and its representation E-mail: yscheng@henu.edu.cn.
About author: CHENG Yong-sheng (1973-), male, native of Lankao, Henan, professor of Henan University, Ph.D., engages in Lie algebra and its representation; WANG Meng-ping (1991-), female, native of Zhoukou, Henan, master of Henan University, engages in Lie algebra.
Supported by:
Supported by the National Science Foundation of China (Grant Nos. 11047030, 11171055).

摘要/Abstract

摘要： The purpose of this paper is to define Hochschild type homology of Bihom-
associative algebras and Chevalley-Eilenberg type homology of Bihom-Lie algebras with
non-trivial coefficients in their bimodules respectively. In particular, we give their low
order homology in detail.

关键词: Bihom-Lie algebras, Bihom-bimodules, Chain complex, Homology

Abstract: The purpose of this paper is to define Hochschild type homology of Bihom-
associative algebras and Chevalley-Eilenberg type homology of Bihom-Lie algebras with
non-trivial coefficients in their bimodules respectively. In particular, we give their low
order homology in detail.

Key words: Bihom-Lie algebras, Bihom-bimodules, Chain complex, Homology

中图分类号:

O152.5

程永胜, 王梦平. Bihom-李代数的同调[J]. 数学季刊, 2022, 37(3): 237-247.

CHENG Yong-sheng, WANG Meng-ping. Homology of Bihom-Lie Algebras[J]. Chinese Quarterly Journal of Mathematics, 2022, 37(3): 237-247.

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Bihom-李代数的同调

Homology of Bihom-Lie Algebras

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