Weight $q$-multiplicities for representations of the exceptional Lie algebra ${\mathfrak{g}}_2$

Jerrell Cockerham, Melissa Gutiérrez González, Pamela E. Harris +4

Given a simple Lie algebra $\mathfrak{g}$, Kostant's weight $q$-multiplicity formula is an alternating sum over the Weyl group whose terms involve the $q$-analog of Kostant's parti…