@Article{CMR-31-229,
author = {Zhao , Yu-E},
title = {Co-Splitting of Simple Lie Algebras of Type $A$, $D$, $E$},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {31},
number = {3},
pages = {229--241},
abstract = {<p style="text-align: justify;">In this paper, through a meticulous description of finite root system,
a concrete comultiplication with an explicit action on the basis elements of finite
dimensional simple Lie algebras of type $A$, $D$, $E$ is constructed. Then any finite
dimensional simple Lie algebra of type $A$, $D$, $E$ is endowed with a new generalized
Lie coalgebra splitting. This construction verifies the known existence of a co-split
Lie structure on any finite dimensional complex simple Lie algebra.</p>},
issn = {2707-8523},
doi = {https://doi.org/10.13447/j.1674-5647.2015.03.05},
url = {http://global-sci.org/intro/article_detail/cmr/18925.html}
}