Macdonald polynomials at $t=q^k$ by Jean-Gabriel Luque

Subjects: Get full text

Factorizations of Symmetric Macdonald Polynomials by Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque

Subjects: Get full text

Staircase Macdonald polynomials and the $q$-Discriminant by Adrien Boussicault, Jean-Gabriel Luque

“…We prove that a $q$-deformation $\mathfrak{D}_k(\mathbb{X};q)$ of the powers of the discriminant is equal, up to a normalization, to a specialization of a Macdonald polynomial indexed by a staircase partition. We investigate the expansion of $\mathfrak{D}_k(\mathbb{X};q)$ on different bases of symmetric functions. …”
Get full text

The Classification of All Singular Nonsymmetric Macdonald Polynomials by Charles F. Dunkl

Subjects: “…nonsymmetric Macdonald polynomials…”
Get full text

Matrix product and sum rule for Macdonald polynomials by Luigi Cantini, Jan De Gier, Michael Wheeler

“…We present a new, explicit sum formula for symmetric Macdonald polynomials Pλ and show that they can be written as a trace over a product of (infinite dimensional) matrices. …”
Get full text

Recursions and divisibility properties for combinatorial Macdonald polynomials by Nicholas A. Loehr, Elizabeth Niese

Get full text

Some Singular Vector-Valued Jack and Macdonald Polynomials by Charles F. Dunkl

Subjects: “…nonsymmetric Jack and Macdonald polynomials…”
Get full text

Wreath Macdonald polynomials and the categorical McKay correspondence by Bezrukavnikov, Roman, Finkelberg, Michael, Vologodsky, Vadim

Get full text
Get full text

Nonsymmetric Macdonald polynomials via integrable vertex models by Borodin, Alexei, Wheeler, Michael

Get full text

A representation-theoretic proof of the branching rule for Macdonald polynomials by Yi Sun

Subjects: “…macdonald polynomials…”
Get full text

Generalized Tesler matrices, virtual Hilbert series, and Macdonald polynomial operators by Andrew Timothy Wilson

Subjects: Get full text

A bijective proof of a factorization formula for Macdonald polynomials at roots of unity by F. Descouens, H. Morita, Y. Numata

Subjects: “…macdonald polynomials…”
Get full text

Properties of Non-symmetric Macdonald Polynomials at $$q=1$$ q = 1 and $$q=0$$ q = 0 by Alexandersson, Per, Sawhney, Mehtaab

“…Abstract We examine the non-symmetric Macdonald polynomials $$\mathrm {E}_\lambda $$ E λ at $$q=1$$ q = 1 , as well as the more general permuted-basement Macdonald polynomials. …”
Get full text

Standard fillings to parking functions by Elizabeth Niese

Subjects: Get full text

Dual Equivalence Graphs Revisited by Austin Roberts

Subjects: Get full text

Noncommutative symmetric functions with matrix parameters by Alain Lascoux, Jean-Christophe Novelli, Jean-Yves Thibon

Subjects: “…macdonald polynomials…”
Get full text

A Murnaghan-Nakayama Rule for Generalized Demazure Atoms by Jamine LoBue, Jeffrey B. Remmel

Subjects: Get full text

Crystal energy via charge by Cristian Lenart, Anne Schilling

Subjects: Get full text

The ABC's of affine Grassmannians and Hall-Littlewood polynomials by Avinash J. Dalal, Jennifer Morse

Subjects: Get full text

A uniform model for Kirillov―Reshetikhin crystals by Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, Mark Shimozono

Subjects: Get full text