A graded representation model for Macdonald's polynomials.
A graded representation model for Macdonald's polynomials.
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DOI：
10.1073/pnas.90.8.3607
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发表时间：
1993-04
影响因子：
11.1
通讯作者：
A. Garsia;M. Haiman
中科院分区：
文献类型：
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作者：
A. Garsia;M. Haiman
我们定义双分次Sn模块RMU，我们猜想，在各种双度的不可约表示的多重性给出的麦克唐纳系数Komadamu。假设一个基本猜想，模Rmu可以给出几个等价的定义，我们讨论。我们在各种特殊情况下证明了这些定理。
We define doubly graded Sn modules Rmu for which we conjecture that the multiplicities of irreducible representations in various bi-degrees are given by the Macdonald coefficients Klambdamu. Assuming one fundamental conjecture, the modules Rmu can be given several equivalent definitions, which we discuss. We prove the conjectures in various special cases.