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math.RT2023
An explicit formula for the Hilbert series of a partial flag variety
Wayne A. Johnson
For a semisimple, simply-connected linear algebraic group, , and parabolic subgroup, , we use the fact that the Hilbert polynomial of the equivariant embedding of…
math.CO2023
An Euler operator approach to Ehrhart series
Wayne A. Johnson
We use the ordinary Euler operator to compute the Ehrhart series for an arbitrary lattice polytope. The resulting formula involves the coefficients of the Ehrhart polynomial, combi…