3 problems

Let $R=(R_1,\ldots,R_k)$ be a sequence of rectangles. Suppose the distinct rectangles $R_j$ occur with multiplicities $m_j$, and set … For $i\in[d_R]$, let $\ell_{d_R}^{(i)}$ denot…

Let $U$ be a tensor product of highest weight modules of $GL_n(\mathbb C)$, with each factor corresponding to a multiple of a fundamental weight, equivalently a rectangular highest…

Let $b4$ be a diagram with $n$ cells. Write $a3am(n)$ for the set of standard Yamanouchi words of length $n$, $a3am_b4(n)$ for the subset associated with $b4$, and let $c1$ denote…