On equivariant Lie-Yamaguti algebras and related structures
Rings and Algebras
2022-02-17 v1
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.
Keywords
Cite
@article{arxiv.2202.06214,
title = {On equivariant Lie-Yamaguti algebras and related structures},
author = {Shuangjian Guo and Bibhash Mondal and Ripan Saha},
journal= {arXiv preprint arXiv:2202.06214},
year = {2022}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1911.09854