The degree of the Hilbert–Poincaré polynomial of PBW-graded modules

Backhaus, T., Desczyk, C., Bossinger, L. and Fourier, G. (2014) The degree of the Hilbert–Poincaré polynomial of PBW-graded modules. Comptes Rendus Mathématique, 352(12), pp. 959-963. (doi: 10.1016/j.crma.2014.09.027)

Abstract

In this note, we study the Hilbert–Poincaré polynomials for the associated PBW-graded modules 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.

• Item Type: Articles
• Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in Comptes Rendus Mathématique. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Comptes Rendus Mathématique, [352, 12, (December 2014)] http://dx.doi.org/10.1016/j.crma.2014.09.027
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Fourier, Dr Ghislain
• Authors: Backhaus, T., Desczyk, C., Bossinger, L., and Fourier, G.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Comptes Rendus Mathématique
• Publisher: Elsevier Masson
• ISSN: 1631-073X
• ISSN (Online): 1778-3569
• Copyright Holders: Copyright © 2014 Académie des sciences
• First Published: First published in Comptes Rendus Mathématique 352(12):959-963
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher