The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules
Representation Theory
2014-10-31 v2 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.1408.0901,
title = {The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules},
author = {Teodor Backhaus and Lara Bossinger and Christian Desczyk and Ghislain Fourier},
journal= {arXiv preprint arXiv:1408.0901},
year = {2014}
}
Comments
7 pages, updated references, improved exposition, journal version