University of Guilan Journal of Algebra and Related Topics 2345-3931 13 2 2025 12 01 Lie-Yamaguti algebra bundle 53 73 9270 10.22124/jart.2025.26889.1638 EN S. Goswami ‎Department of Mathematics‎,‎ Ramakrishna Mission Vivekananda Educational and Research Institute‎,‎ Howrah‎, ‎India 0009-0005-7864-330X G. Mukherjee Academy of Scientific and Innovative Research (AcSIR)‎,‎ Ghaziabad‎, ‎India Journal Article 2024 02 29 ‎We introduce the notion of Lie-Yamaguti algebra bundle‎, ‎and show that such bundles appeared naturally from geometric considerations in the work of M‎. ‎Kikkawa‎. ‎This motivates us to introduce this object in the proper mathematical framework‎. ‎We define cohomology groups of such bundles with coefficients in a representation extending the definition of cohomology groups of Lie-Yamaguti algebras‎. https://jart.guilan.ac.ir/article_9270_4146f1fe1c5cde938e424c4d7b70ca32.pdf