The degree of the Hilbert-Poincaré polynomial of PBW-graded modules
arXiv:1408.0901
Abstract
In this note, we study the Hilbert-Poincaré 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.
7 pages, updated references, improved exposition, journal version