论文标题
基本结构的最小免费分辨率的形状理想$（n-2,2）$和$（d，d，1）$
Elementary construction of minimal free resolutions of the Specht ideals of shapes $(n-2,2)$ and $(d,d,1)$
论文作者
论文摘要
对于$ n \ in \ mathbb {n} $的分区$λ$，让$ i^{\ rm sp}_λ$是$ r = k [x_1，\ ldots，x_n] $的理想，由所有Specht shape $λ$。我们假设$ {\ rm char}（k）= 0 $。然后，$ r/i^{\ rm sp} _ {（n-2,2）} $是戈伦斯坦，$ r/i^{\ rm sp} _ {（d，d，d，d，1）} $是cohen-macaulay ring lineare free分辨率。在本文中，我们构建了这些环的最低免费分辨率。 Berkesch Zamaere，Griffeth和Sam已经研究了$ r/i^{\ rm sp} _ {（n-d，d，d）} $的最低免费分辨率，它们也是Cohen-Macaulay，也是Cohen-Macaulay，使用了代表理论的高级技术。但是，我们仅使用SPECHT模块的基本理论，并明确描述差异图。
For a partition $λ$ of $n \in \mathbb{N}$, let $I^{\rm Sp}_λ$ be the ideal of $R=K[x_1,\ldots,x_n]$ generated by all Specht polynomials of shape $λ$. We assume that ${\rm char}(K)=0$. Then $R/I^{\rm Sp}_{(n-2,2)}$ is Gorenstein, and $R/I^{\rm Sp}_{(d,d,1)}$ is a Cohen-Macaulay ring with a linear free resolution. In this paper, we construct minimal free resolutions of these rings. Berkesch Zamaere, Griffeth, and Sam had already studied minimal free resolutions of $R/I^{\rm Sp}_{(n-d,d)}$, which are also Cohen-Macaulay, using heighly advanced technique of the representation theory. However we only use the basic theory of Specht modules, and explicitly describe the differential maps.
