On equivariant Lie–Yamaguti algebras and related structures-Reference-Cited by-同舟云学术

On equivariant Lie–Yamaguti algebras and related structures

Published:2022-06-24 Issue:02 Volume:16 Page:
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Guo Shuangjian¹,Mondal Bibhash²,Saha Ripan³^ORCID

Affiliation:

1. School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, P. R. China

2. Department of Mathematics, Behala College, Behala 700060, Kolkata, India

3. Department of Mathematics, Raiganj University, Raiganj 733134, West Bengal, India

Abstract

In this paper, we first discuss cohomology and a one-parameter formal deformation theory of Lie–Yamaguti algebras. Next, we study finite group actions on Lie–Yamaguti algebras and introduce equivariant cohomology for Lie–Yamaguti algebras equipped with group actions. Finally, we study an equivariant one-parameter formal deformation theory and show that our equivariant cohomology is the suitable deformation cohomology.

Funder

NSF of China

Guizhou University of Finance and Economics

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557123500225

Reference16 articles.

1. Equivariant Cohomology Theories

2. The Cohomology Structure of an Associative Ring

3. On the Deformation of Rings and Algebras

4. On the Deformation of Rings and Algebras: II

5. On the Deformation of Rings and Algebras: III

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