Construction of a Class of Gerstenhaber Algebras

HOU Bo, KOU Wen

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

Chinese Quarterly Journal of Mathematics >

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

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

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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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

Cite this article

HOU Bo, KOU Wen . Construction of a Class of Gerstenhaber Algebras[J]. Chinese Quarterly Journal of Mathematics, 2023 , 38(4) : 370 -378 . DOI: 10.13371/j.cnki.chin.q.j.m.2023.04.004

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