Lie algebras graded by the weight system $({\Theta }_n,s{l}_n)$

Alexander Baranov, Hogir M. Yaseen

A Lie algebra $L$ is said to be $({\Theta }_n,s{l}_n)$-graded if it contains a simple subalgebra $\mathfrak{g}$ isomorphic to $s{l}_n$ such that the $\mathfrak{g}$-module $L$ decomposes…