# Evaluation of Nonsymmetric Macdonald Superpolynomials at Special Points

@article{Dunkl2021EvaluationON, title={Evaluation of Nonsymmetric Macdonald Superpolynomials at Special Points}, author={Charles F. Dunkl}, journal={Symmetry}, year={2021}, volume={13}, pages={779} }

In a preceding paper the theory of nonsymmetric Macdonald polynomials taking values in modules of the Hecke algebra of type A (Dunkl and Luque SLC 2012) was applied to such modules consisting of polynomials in anti-commuting variables, to define nonsymmetric Macdonald superpolynomials. These polynomials depend on two parameters q,t and are defined by means of a Yang–Baxter graph. The present paper determines the values of a subclass of the polynomials at the special points 1,t,t2,… or 1,t−1,t−2…

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