Universal-Hilbert-ProcAMS2.pdf (266.44 kB)
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.
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