论文标题
拉伸的Kostka准多项式学位
Degrees of the stretched Kostka quasi-polynomials
论文作者
论文摘要
我们为所有经典类型的拉伸kostka quasi-polynomial $ k_ {λ,μ}(n)$提供了类型 - 均匀的公式,改善了McAllister在$ \ Mathfrak {sl} _r(\ Mathbb {c})$的先前结果。我们的证明依赖于Berenstein和Zelevinsky的重量多样性的组合模型。
We provide a type-uniform formula for the degree of the stretched Kostka quasi-polynomial $K_{λ,μ}(N)$ in all classical types, improving a previous result by McAllister in $\mathfrak{sl}_r(\mathbb{C})$. Our proof relies on a combinatorial model for the weight multiplicity by Berenstein and Zelevinsky.