Duality on Fock spaces and combinatorial energy functions
  We generalize in a combinatorial way the notion of the affine energy function of type $A$ to the case of a more general class of modules over a general linear Lie superalgebra $\mathfrak{g}$ based on a Howe duality of type $(\mathfrak{g},\mathfrak{gl}_n)$ on various Fock spaces. 
Jae-Hoon Kwon and Euiyong Park
math.CO math.RT