论文标题
使用对称群的表示理论的纳入矩阵的等级公式的简短证明
A Short Proof of the Rank Formula for Inclusion Matrices using the Representation Theory of the Symmetric Group
论文作者
论文摘要
我们通过构造$ k \ Mathcal {s} _n $ - 模块，通过该矩阵的列跨越并计算其尺寸，为包含矩阵等级提供了众所周知的公式的新证明。
We present a new proof of the well known formula for the rank of the inclusion matrix by constructing a $k\mathcal{S}_n$-module spanned by the columns of this matrix and calculating its dimension.
