Coinvariant rings with k commuting and j anticommuting variables decompose into simple gl(k|j) representations, with universal super Schur function character formulas that do not depend on k and j.
Garsia, Mark Haiman, and Glenn Tesler,Identities and positivity conjectures for some remarkable operators in the theory of symmetric functions , Methods Appl
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Diagonal supersymmetry for coinvariant rings
Coinvariant rings with k commuting and j anticommuting variables decompose into simple gl(k|j) representations, with universal super Schur function character formulas that do not depend on k and j.