تقرير
Omni-representations of Leibniz algebras
| العنوان: | Omni-representations of Leibniz algebras |
|---|---|
| المؤلفون: | Liu, Zhangju, Sheng, Yunhe |
| المصدر: | Commun. Math. Res. 40 (2024), No. 1, 30-42 |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Rings and Algebras, Mathematics - Representation Theory |
| الوصف: | In this paper, first we introduce the notion of an omni-representation of a Leibniz algebra $\g$ on a vector space $V$ as a Leibniz algebra homomorphism from $\g$ to the omni-Lie algebra $\gl(V)\oplus V$. Then we introduce the omni-cohomology theory associated to omni-representations and establish the relation between omni-cohomology groups and Loday-Pirashvili cohomology groups. Comment: 11 pages. arXiv admin note: substantial text overlap with arXiv:1408.2225 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2304.02809 |
| رقم الأكسشن: | edsarx.2304.02809 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |