Explicit Combinatorial Formulas for Some Irreducible Characters of the $G{L}_k\times {\mathbb{S}}_n$-module of multivariate diagonal harmonics

Nancy Wallace

We give an explicit combinatorial formula for some irreducible components of $G{L}_k\times {\mathbb{S}}_n$-modules of multivariate diagonal harmonics. To this end we introduce a new pa…