A recursion formula for Branching from ${\mathfrak{sl}}_n$ to ${\mathfrak{sl}}_2$ subalgebras

Korkeat Korkeathikhun, Borworn Khuhirun, Songpon Sriwongsa +1

For any representation of a complex simple Lie algebra ${\mathfrak{sl}}_n$, one problem of branching rules to ${\mathfrak{sl}}_2$-subalgebra is to determine the multiplicity of each ir…