The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules
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modulesdegreehilbert-poincarpbw-gradedsimplealgebracomplexcomputation
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In this note, we study the Hilbert-Poincar\'e polynomials for the PBW-graded of simple modules for a simple complex Lie algebra. The computation of their degree can be reduced to modules of fundamental highest weight. We provide these degrees explicitly.
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