@Article{CMR-40-1,
author = {Zhangju, Liu and Yunhe, Sheng},
title = {Omni-Representations of Leibniz Algebras},
journal = {Communications in Mathematical Research },
year = {2024},
volume = {40},
number = {1},
pages = {30--42},
abstract = {<p style="text-align: justify;">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 $gl(V)⊕V.$ Then we introduce the omni-cohomology theory associated to omni-representations and establish the relation between omni-cohomology groups and Loday-Pirashvili cohomology
groups.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.4208/cmr.2023-0019},
url = {https://global-sci.com/article/81443/omni-representations-of-leibniz-algebras}
}