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math.QA2022★ 1 cited
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…
math.CO2022
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…