Universal formula for the Hilbert series of minimal nilpotent orbits
journal contributionposted on 2017-06-16, 10:29 authored by A. Matsuo, Alexander VeselovAlexander Veselov
We show that the Hilbert series of the projective variety X = P(Omin), corresponding to the minimal nilpotent orbit Omin, is universal in the sense of Vogel: it is written uniformly for all simple Lie algebras in terms of Vogel’s parameters α, β, γ and represents a special case of the generalized hypergeometric function 4F3. A universal formula for the degree of X is then deduced.
The work of AM was partially supported by JSPS KAKENHI Grant Number JP26610004.
- Mathematical Sciences
Published inProceedings of the AMS
CitationMATSUO, A. and VESELOV, A.P., 2017. Universal formula for the Hilbert series of minimal nilpotent orbits. Proceedings of the American Mathematical Society, 145, pp. 5123-5130.
Publisher© American Mathematical Society
- AM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesFirst published in Proceedings of the American Mathematical Society 145 (August 2017), published by the American Mathematical Society. © 2017 American Mathematical Society.