一类 Gerstenhaber 代数的构造

侯波, 扣雯

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

数学季刊 >

2023 , Vol. 38 >Issue 4: 370 - 378

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2023.04.004

一类 Gerstenhaber 代数的构造

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

HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra.

收稿日期: 2023-03-06

网络出版日期: 2023-12-15

基金资助

Supported by the National Natural Science Foundation of China (Grant No. 12201182).

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Construction of a Class of Gerstenhaber Algebras

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

HOU Bo (1981-), male, native of Kaifeng, Henan, an associated professor of Henan University, Ph.D., engages in algebra.

Received date: 2023-03-06

Online published: 2023-12-15

Supported by

Supported by the National Natural Science Foundation of China (Grant No. 12201182).

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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

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侯波, 扣雯 . 一类 Gerstenhaber 代数的构造[J]. 数学季刊, 2023 , 38(4) : 370 -378 . DOI: 10.13371/j.cnki.chin.q.j.m.2023.04.004

Abstract

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

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