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A Hesselink-type formula for the nilpotent cone of Lie algebra representations
A well-known result of Hesselink gives a formula for the $q$-character of the nilpotent cone of a semisimple Lie algebra in terms of a $q$-analog of the Kostant partition function. For a reductive Lie algebra $\mathfrak{g}$, we define a class of \emph{Hesselink-type representations}, for which we pr
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