17 citations · 37 across the 16 of their papers we have counts for
19 papers
Wreath Macdonald polynomials, a survey
Daniel Orr, Mark Shimozono
Wreath Macdonald polynomials arise from the geometry of -fixed loci of Hilbert schemes of points in the plane, where is a finite cyclic group of order . For , t…
Peter-Weyl theorem for Iwahori groups and highest weight categories
Evgeny Feigin, Anton Khoroshkin, Ievgen Makedonskyi +1
We study the algebra of functions on the Iwahori group via the category of graded bounded representations of its Lie algebra. In particular, we identify the standard and costandard…
Nonsymmetric -Cauchy identity and representations of the Iwahori algebra
Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr
The specialization of the Mimachi-Noumi Cauchy-type identity rewrites certain infinite product in terms of specialized nonsymmetric Macdonald polynomials of type . We i…
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…
Identities of inverse Chevalley type for graded characters of level-zero Demazure submodules over quantum affine algebras of type C
Takafumi Kouno, Satoshi Naito, Daniel Orr
We provide identities of inverse Chevalley type for the graded characters of level-zero Demazure submodules of extremal weight modules over a quantum affine algebra of type . Th…
Inverse -Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type
Cristian Lenart, Satoshi Naito, Daniel Orr +1
We continue the study, begun in [Kouno-Naito-Orr-Sagaki, 2021], of inverse Chevalley formulas for the equivariant -group of semi-infinite flag manifolds. Using the language of a…