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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.RT2014
A multi-variate generating function for the Weyl Dimension Formula
Wayne Johnson
We present a closed form for a multi-variate generating function for the dimensions of the irreducible representations of a semisimple, simply connected linear algebraic group over…