一类 Gerstenhaber 代数的构造

doi:10.13371/j.cnki.chin.q.j.m.2023.04.004

数学季刊 ›› 2023, Vol. 38 ›› Issue (4): 370-378.doi: 10.13371/j.cnki.chin.q.j.m.2023.04.004

一类 Gerstenhaber 代数的构造

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

收稿日期:2023-03-06 出版日期:2023-12-30 发布日期:2023-12-15
通讯作者: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra. E-mail: bohou1981@163.com
作者简介: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra.
基金资助:
Supported by the National Natural Science Foundation of China (Grant No. 12201182).

Construction of a Class of Gerstenhaber Algebras

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

Received:2023-03-06 Online:2023-12-30 Published:2023-12-15
Contact: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra. E-mail: bohou1981@163.com
About author: HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra.
Supported by:
Supported by the National Natural Science Foundation of China (Grant No. 12201182).

摘要/Abstract

摘要： For any K-algebra A, based on Hochschild complex and Hochschild cohomology of A, we construct a new Gerstenhaber algebra, and give Gerstenhaber algebra epimorphism from the new Gerstenhaber algebra to the Gerstenhaber algebra of the Hochschild cohomology of A.

关键词: Gerstenhaber algebra, Hochschild cohomology, Differential graded Lie algebra

Abstract: For any K-algebra A, based on Hochschild complex and Hochschild cohomology of A, we construct a new Gerstenhaber algebra, and give Gerstenhaber algebra epimorphism from the new Gerstenhaber algebra to the Gerstenhaber algebra of the Hochschild cohomology of A.

Key words: Gerstenhaber algebra, Hochschild cohomology, Differential graded Lie algebra

中图分类号:

O152.5

侯波, 扣雯. 一类 Gerstenhaber 代数的构造[J]. 数学季刊, 2023, 38(4): 370-378.

HOU Bo, KOU Wen. Construction of a Class of Gerstenhaber Algebras[J]. Chinese Quarterly Journal of Mathematics, 2023, 38(4): 370-378.

一类 Gerstenhaber 代数的构造

Construction of a Class of Gerstenhaber Algebras

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