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Creators/Authors contains: "Wen, Joshua Jeishing"

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  1. (, Selecta Mathematica)
    Abstract We show that the wreath Macdonald polynomials for$$\mathbb {Z}/\ell \mathbb {Z}\wr \Sigma _n$$ Z / ℓ Z ≀ Σ n , when naturally viewed as elements in the vertex representation of the quantum toroidal algebra$$U_{\mathfrak {q},\mathfrak {d}}(\ddot{\mathfrak {sl}}_\ell )$$ U q , d ( sl ¨ ℓ ) , diagonalize its horizontal Heisenberg subalgebra. Our proof makes heavy use of shuffle algebra methods, and we also obtain a new proof of existence of wreath Macdonald polynomials. 
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    Free, publicly-accessible full text available July 1, 2026
  2. ; ; (, Sem. Lothar. Combin.)
    Accepted Manuscript Full Text Available