论文标题
一个简单的证据,证明主要索引和反转是等分的
A Simple Proof that Major Index and Inversions are Equidistributed
论文作者
论文摘要
我们提供了麦克马洪经典结果的简短证明,即$ k $倒置的排列数量等于其主要索引(下降的职位总和)为$ k $
We present a short proof of MacMahon's classic result that the number of permutations with $k$ inversions equals the number whose major index (sum of positions at which descents occur) is $k$