Formal deformations of associative and Lie H-pseudoalgebras

Linlin Liu^a,*, Huihui Zheng^b

ABSTRACT: The aim of this paper is to study the 1-parameter formal deformations of associative (resp. Lie) H-pseudoalgebras and describe them with the cohomology groups. As an application, we derive Poisson H-pseudoalgebra from the first-order term of a deformation of the commutative associative H-pseudoalgebra.

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^a	School of Science, Henan Institute of Technology, Xinxiang 453003 China
^b	School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007 China

* Corresponding author, E-mail: liulinlin2016@163.com

Received 5 Jul 2022, Accepted 11 Jan 2023

Formal deformations of associative and Lie H-pseudoalgebras

Linlin Liua,*, Huihui Zhengb

Linlin Liu^a,*, Huihui Zheng^b