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math.CO2020★ 2 cited
Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials
Sami Assaf, Nicolle Gonzalez
We give a crystal-theoretic proof that nonsymmetric Macdonald polynomials specialized to are affine Demazure characters. We explicitly construct an affine Demazure crystal on…
math.CO2019
Demazure crystals for specialized nonsymmetric Macdonald polynomials
Sami Assaf, Nicolle Gonzalez
We give an explicit, nonnegative formula for the expansion of nonsymmetric Macdonald polynomials specialized at in terms of Demazure characters. Our formula results from cons…