# Nonsymmetric Macdonald Superpolynomials

@article{Dunkl2020NonsymmetricMS, title={Nonsymmetric Macdonald Superpolynomials}, author={Charles F. Dunkl}, journal={Symmetry, Integrability and Geometry: Methods and Applications}, year={2020} }

There are representations of the type-A Hecke algebra on spaces of polynomials in anti-commuting variables. Luque and the author [Sém. Lothar. Combin. 66 (2012), Art. B66b, 68 pages, arXiv:1106.0875] constructed nonsymmetric Macdonald polynomials taking values in arbitrary modules of the Hecke algebra. In this paper the two ideas are combined to define and study nonsymmetric Macdonald polynomials taking values in the aforementioned anti-commuting polynomials, in other words, superpolynomials…

## One Citation

### Evaluation of Nonsymmetric Macdonald Superpolynomials at Special Points

- MathematicsSymmetry
- 2021

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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