The norm and the Evaluation of the Macdonald polynomials in superspace
Copyright policy )The norm and the Evaluation of the Macdonald polynomials in superspace
We demonstrate the validity of previously conjectured explicit expressions for the norm and the evaluation of the Macdonald polynomials in superspace. These expressions, which involve the arm-lengths and leg-lengths of the cells in certain Young diagrams, specialize to the well known formulas for the norm and the evaluation of the usual Macdonald polynomials.
- University of Talca Chile
Symmetric functions and generalizations, root systems, representations, Macdonald nonsymmetric polynomials, eigenfunctions, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Hecke algebras and their representations, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Hecke algebras
Symmetric functions and generalizations, root systems, representations, Macdonald nonsymmetric polynomials, eigenfunctions, Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), Hecke algebras and their representations, Combinatorial aspects of representation theory, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Hecke algebras
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