Schur Superpolynomials: Combinatorial Definition and Pieri Rule

@article{BlondeauFournier2015SchurSC,
  title={Schur Superpolynomials: Combinatorial Definition and Pieri Rule},
  author={Olivier Blondeau-Fournier and Pierre Mathieu},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2015},
  volume={11},
  pages={021}
}
  • Olivier Blondeau-Fournier, Pierre Mathieu
  • Published 2015
  • Mathematics, Physics
  • Symmetry Integrability and Geometry-methods and Applications
  • Schur superpolynomials have been introduced recently as limiting cases of the Macdonald superpolynomials. It turns out that there are two natural super-extensions of the Schur polynomials: in the limit q = t = 0 and q = t!1, corresponding respectively to the Schur superpolynomials and their dual. However, a direct definition is missing. Here, we present a conjectural combinatorial definition for both of them, each being formulated in terms of a distinct extension of semi-standard tableaux… CONTINUE READING

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