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arXiv · 2309.05508

Lie-Yamaguti Algebra Bundle

Saikat Goswami·Goutam Mukherjee
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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.

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Saikat Goswami, Goutam Mukherjee. 2023-09-11. Lie-Yamaguti Algebra Bundle. https://arxiv.org/abs/2309.05508

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