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Title: Universal formula for the Hilbert series of minimal nilpotent orbits
Authors: Matsuo, A.
Veselov, A.P.
Issue Date: 2017
Publisher: © American Mathematical Society
Citation: 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.
Abstract: 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.
Description: First published in Proceedings of the American Mathematical Society 145 (August 2017), published by the American Mathematical Society. © 2017 American Mathematical Society.
Sponsor: The work of AM was partially supported by JSPS KAKENHI Grant Number JP26610004.
Version: Accepted for publication
DOI: 10.1090/proc/13819
URI: https://dspace.lboro.ac.uk/2134/25427
Publisher Link: https://doi.org/10.1090/proc/13819
ISSN: 0002-9939
Appears in Collections:Published Articles (Maths)

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