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arXiv · 1408.0901

The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules

Teodor Backhaus·Lara Bossinger·Christian Desczyk·Ghislain Fourier
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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.

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Teodor Backhaus, Lara Bossinger, Christian Desczyk, Ghislain Fourier. 2014-08-05. The degree of the Hilbert-Poincar\'e polynomial of PBW-graded modules. https://arxiv.org/abs/1408.0901

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