论文标题
一些微不足道和符号表示的限制系数
Some Restriction Coefficients for the Trivial and Sign Representations
论文作者
论文摘要
我们使用字符多项式来获得$ gl_n（\ mathbb {c}）$的不可约多项式表示中的符号表示的阳性组合解释。我们的方法还产生了积极的组合解释，以在不可约s_n $的琐事多项式表示中的多样性中产生正面的组合解释。
We use character polynomials to obtain a positive combinatorial interpretation of the multiplicity of the sign representation in irreducible polynomial representations of $GL_n(\mathbb{C})$ indexed by two-column and hook partitions. Our method also yields a positive combinatorial interpretation for the multiplicity of the trivial representation of $S_n$ in an irreducible polynomial representation indexed by a hook partition.
