A comment of the combinatorics of the vertex operator ${\Gamma }_{(t|X)}$

Mercedes Helena Rosas

The Jacobi--Trudi identity associates a symmetric function to any integer sequence. Let ${\Gamma }_{(t|X)}$ be the vertex operator defined by $Γ_{(t|X)} s_α=\sum_{n \in \mathbb{Z}} s_{(n,α…