3 problems

Let $M$ and $\Lambda$ be $n\times n$ Hermitian matrices over $\mathbb{C}$. For $0\leq s\leq t\leq n$, let $U_s$ and $V_{t-s}$ be orthogonal subspaces of ranks $s$ and $t-s$, respec…

For $k$-bounded partitions $\lambda$ and $\mu$, define the $k$-Littlewood–Richardson coefficients by … An LR array has the same shape as $\nu/\lambda$ and weight $\lambda$ in the s…

Let $\lambda$, $\mu$, and $\nu$ be Young diagrams with $|\lambda|+|\mu|=|\nu|$. Let $A$ be an admissible order on the skew Young diagram $\nu\setminus\lambda$, and let $A'$ be an a…