Schur Superpolynomials: Combinatorial Definition and Pieri Rule

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• Main Authors: Blondeau-Fournier, O., Mathieu, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146998
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Schur Superpolynomials: Combinatorial Definition and Pieri Rule / O. Blondeau-Fournier, P. Mathieu // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ.

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→∞, corresponding respectively to the Schur superpolynomials and their dual. However,...