Non-Symmetric Macdonald's Polynomials
Ivan Cherednik
TL;DR
This paper explores the extension of Macdonald's polynomials to non-symmetric cases, providing new insights into their structure and applications within algebraic combinatorics.
Contribution
It introduces the non-symmetric Macdonald polynomials, expanding the theory beyond symmetric cases and connecting to Opdam's non-symmetric polynomials.
Findings
Extended Macdonald polynomials to non-symmetric cases
Established connections with Opdam's non-symmetric polynomials
Provided new evaluation formulas and applications
Abstract
We extend the previous paper "Macdonald's evaluation ... and applications" to the non-symmetric polynomilas recently introduced by Macdonald (as difference counterparts of Opdam's non-symmetric ones).
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Advanced Topics in Algebra · Advanced Algebra and Geometry