Results 151 to 160 of about 95,105 (247)

Kadell's two conjectures for Macdonald polynomials [PDF]

open access: yesarXiv, 1995
This paper contains the proof of difference counterparts of the conjectures due to Keven Kadell on symmetric and anti-symmetric Macdonald polynomials.
arxiv  

Non-Symmetric Macdonald's Polynomials [PDF]

open access: yesarXiv, 1995
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).
arxiv  

Row-strict Quasisymmetric Schur Functions, Characterizations of Demazure Atoms, and Permuted Basement Nonsymmetric Macdonald Polynomials [PDF]

open access: yesarXiv, 2013
We give a Littlewood-Richardson type rule for expanding the product of a row-strict quasisymmetric Schur function and a symmetric Schur function in terms of row-strict quasisymmetric Schur functions. We then discuss a family of polynomials called Demazure atoms.
arxiv  

Higher Rank Macdonald Polynomials [PDF]

open access: yesarXiv
In this paper, we introduce higher rank generalizations of Macdonald polynomials. The higher rank non-symmetric Macdonald polynomials are Laurent polynomials in several sets of variables which form weight bases for higher rank polynomial representations of double affine Hecke algebras with respect to higher rank Cherednik operators. We prove that these
arxiv  

Elliptic triad

open access: yesPhysics Letters B
The triad refers to embedding the Macdonald polynomials into the Noumi-Shiraishi functions and their reduction to solutions of simple linear equations at particular values of t. It provides an alternative definition of Macdonald theory.
A. Mironov   +3 more
doaj  

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