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Generalized Reynolds operators and extensions of Lie-Yamaguti algebra bundle | ||
| Journal of Algebra and Related Topics | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 22 آذر 1404 اصل مقاله (208.69 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2025.32090.1871 | ||
| نویسندگان | ||
| S. Goswami1؛ G. Mukherjee* 2 | ||
| 1Department of Mathematics, Ramakrishna Mission Vivekananda Educational and Research Institute, Howrah, India | ||
| 2Academy of Scientific and Innovative Research (AcSIR), Ghaziabad, India | ||
| چکیده | ||
| A Lie-Yamaguti algebra bundle is a type of algebra bundles with fibres being Lie-Yamaguti algebras, and appears naturally from geometric considerations in the work of M. Kikkawa. The aim of the present paper is to introduce the notion of generalized Reynolds operators, O-operators and Nijenhuis operators in the context of Lie-Yamaguti algebra bundle and find their applications. We also study abelian extensions of Lie-Yamaguti algebra bundles and investigate its relationship with its cohomology. | ||
| کلیدواژهها | ||
| Vector bundle؛ Lie-Yamaguti algebra؛ Non-associative algebra؛ Cohomology | ||
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آمار تعداد مشاهده مقاله: 2 تعداد دریافت فایل اصل مقاله: 1 |
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