Computing nonsymmetric and interpolation Macdonald polynomials

2012/01/21 by Baratta, Wendy
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1201.4450

Abstract

In this paper we present a Mathematica notebook for computing nonsymmetric and interpolation Macdonald polynomials. We present the new recursive generation algorithm employed within the notebook and the theory required for its development. We detail the contents of the notebook and conclude with a couple of applications of the notebook.

Related

• A combinatorial formula for Interpolation Macdonald polynomials
• Combinatorial formula for Macdonald polynomials, Bethe Ansatz, and generic Macdonald polynomials
• Symmetric and non-symmetric Macdonald polynomials
• Non-Symmetric Macdonald's Polynomials
• Pieri-Type Formulas for the Nonsymmetric Macdonald Polynomials