论文标题
麦克唐纳多项式和准对称麦克唐纳多项式的紧凑型公式
Compact formulas for Macdonald polynomials and quasisymmetric Macdonald polynomials
论文作者
论文摘要
我们为MacDonald多项式的修改和积分形式提供了几种新的和紧凑的公式，该公式是在紧凑的“多行队列”公式上建立的，该公式是由于Corteel，Mandelshtam和Williams而用于MacDonald多项式的。我们还引入了麦克唐纳多项式的新的准对称类似物。这些“准对称的麦克唐纳多项式”完善了（对称的）麦克唐纳多项式，并专门针对由Haglund，Luoto，Mason和Van Willigenburg定义的准对称Schur多项式。
We present several new and compact formulas for the modified and integral form of the Macdonald polynomials, building on the compact "multiline queue" formula for Macdonald polynomials due to Corteel, Mandelshtam, and Williams. We also introduce a new quasisymmetric analogue of Macdonald polynomials. These "quasisymmetric Macdonald polynomials" refine the (symmetric) Macdonald polynomials and specialize to the quasisymmetric Schur polynomials defined by Haglund, Luoto, Mason, and van Willigenburg.
