The norm and the evaluation of the Macdonald polynomials in superspace
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Publication:2011138
DOI10.1016/j.ejc.2019.103018zbMath1428.05316arXiv1808.04941OpenAlexW2974685260WikidataQ127234381 ScholiaQ127234381MaRDI QIDQ2011138
Publication date: 28 November 2019
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.04941
Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Hecke algebras and their representations (20C08) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
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- Further Pieri-type formulas for the nonsymmetric Macdonald polynomial
- Pieri rules for Schur functions in superspace
- Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals
- Clustering properties of rectangular Macdonald polynomials
- Symmetric and nonsymmetric Macdonald polynomials
- Symmetric and non-symmetric quantum Capelli polynomials
- Pieri-type formulas for the non-symmetric Jack polynomials
- Pieri rules for the Jack polynomials in superspace and the 6-vertex model
- Macdonald polynomials in superspace: conjectural definition and positivity conjectures
- Affine Hecke algebras and raising operators for Macdonald polynomials
- Macdonald polynomials in superspace as eigenfunctions of commuting operators
- Classical symmetric functions in superspace
- SOME PROPERTIES OF MACDONALD POLYNOMIALS WITH PRESCRIBED SYMMETRY
- Evaluation and Normalization of Jack Superpolynomials
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