68 citations · 670 across the 62 of their papers we have counts for
25 papers · 1 filter
Wreath Macdonald operators
Daniel Orr, Mark Shimozono, Joshua Jeishing Wen
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald -polynomials; the eigenvalues are written in terms o…
Difference operators for wreath Macdonald polynomials
Daniel Orr, Mark Shimozono
We give explicit -difference operators acting diagonally on wreath Macdonald -polynomials in finitely many variables.
A uniform model for Kirillov-Reshetikhin crystals III: Nonsymmetric Macdonald polynomials at and Demazure characters
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We establish the equality of the specialization of the nonsymmetric Macdonald polynomial at with the graded character $\mathop{\rm gch} U_{w}^…
Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We give an explicit and computable description, in terms of the parabolic quantum Bruhat graph, of the degree function defined for quantum Lakshmibai-Seshadri paths, or equivalentl…
A uniform model for Kirillov-Reshetikhin crystals II. Alcove model, path model, and P=X
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
We establish the equality of the specialization of the Macdonald polynomial at with the graded character of a tensor product of "single-column" Kirill…
Specializations of nonsymmetric Macdonald-Koornwinder polynomials
Daniel Orr, Mark Shimozono
This work records the details of the Ram-Yip formula for nonsymmetric Macdonald-Koornwinder polynomials for the double affine Hecke algebras of not-necessarily-reduced affine root…