%0 Journal Article %A Matsuo, A. %A Veselov, Alexander %D 2017 %T Universal formula for the Hilbert series of minimal nilpotent orbits %U https://repository.lboro.ac.uk/articles/journal_contribution/Universal_formula_for_the_Hilbert_series_of_minimal_nilpotent_orbits/9388604 %2 https://repository.lboro.ac.uk/ndownloader/files/17001851 %K untagged %K Mathematical Sciences not elsewhere classified %X 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. %I Loughborough University