@Article{CMR-40-30,
author = {Liu , Zhangju and Sheng , Yunhe},
title = {Omni-Representations of Leibniz Algebras},
journal = {Communications in Mathematical Research },
year = {2023},
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 = {http://global-sci.org/intro/article_detail/cmr/22280.html}
}