对称倒易平面的交上同调
Intersection cohomology of the symmetric reciprocal plane
摘要：
通过证明的第i个系数等于在（n-i+1）-边形中选择i个不相交弦的方法的个数，计算了n元上秩为n-1的一致拟阵的Kazhdan-Lusztig多项式.我们还证明了相应的交上同调群同构于与划分[n-2 i，2，.，n-1]相关联的对称群的不可约表示，2]。
英文摘要：
We compute the Kazhdan-Lusztig polynomial of the uniform matroid of rank n-1 on n elements by proving that the i-th coefficient of is equal to the number of ways to choose i non-intersecting chords in an (n-i+1)-gon. We also show that the corresponding intersection cohomology group is isomorphic to the irreducible representation of the symmetric group associated to the partition [n-2i,2,...,2].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
