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Download fileUniversal formula for the Hilbert series of minimal nilpotent orbits
journal contribution
posted on 2017-06-16, 10:29 authored by A. Matsuo, Alexander VeselovAlexander VeselovWe 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.
Funding
The work of AM was partially supported by JSPS KAKENHI Grant Number JP26610004.
History
School
- Science
Department
- Mathematical Sciences
Published in
Proceedings of the AMSCitation
MATSUO, 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 SocietyVersion
- AM (Accepted Manuscript)
Publisher statement
This 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/Acceptance date
2017-05-09Publication date
2017-08-01Notes
First published in Proceedings of the American Mathematical Society 145 (August 2017), published by the American Mathematical Society. © 2017 American Mathematical Society.ISSN
0002-9939eISSN
1088-6826Publisher version
Language
- en