Lie-Yamaguti Algebra Bundle
Rings and Algebras
2025-05-15 v2 Differential Geometry
Abstract
We introduce the notion of Lie-Yamaguti algebra bundle, define its cohomology groups with coefficients in a representation and show that such bundles appeared naturally from geometric considerations in the work of M. Kikkawa, which motivates us to introduce this object in the proper mathematical framework. We also study abelian extensions of Lie-Yamaguti algebra bundles and investigate their relationship with suitable cohomology group.
Cite
@article{arxiv.2309.05508,
title = {Lie-Yamaguti Algebra Bundle},
author = {Saikat Goswami and Goutam Mukherjee},
journal= {arXiv preprint arXiv:2309.05508},
year = {2025}
}
Comments
Some typographical errors have been fixed, and the last two sections have been removed from this version