论文标题
花圈麦克唐纳操作员
Wreath Macdonald operators
论文作者
论文摘要
我们建造了一个新颖的遗产运算师家族，并证明它们是由麦克唐纳$ p $ polynomials的花环对角度化的；特征值是根据任意程度的基本对称多项式编写的。我们的操作员是由用于水平海森堡亚级数在相应量子环形代数的顶点表示中的积分公式产生的
We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald $P$-polynomials; the eigenvalues are written in terms of elementary symmetric polynomials of arbitrary degree. Our operators arise from integral formulas for the action of the horizontal Heisenberg subalgebra in the vertex representation of the corresponding quantum toroidal algebra
