6 problems

Let $c_{\mu\nu}^{\lambda}$ be the Littlewood–Richardson coefficient in the product expansion for a family $\mathcal F$ of interpolation polynomials, and let…

Fix partitions $\mu$ and $\nu$. For each family $\mathcal F$, let … and let $M_{\mu\nu}$ be the set of partitions $\lambda\supseteq\mu,\nu$ for which there exists a Molev tableau o…

Let $\lambda$ and $\mu$ be partitions with $\lambda\supseteq\mu$, and let $B_{\lambda\mu}$ be the integral binomial coefficient for the interpolation-polynomial family $\mathcal F$…

Let $\lambda$ and $\mu$ be partitions with $\lambda\supseteq\mu$, and let $B_{\lambda\mu}$ denote the integral binomial coefficient for the interpolation-polynomial family…

Knop–Sahi positivity conjecture. The coefficients satisfy

Let $r$ be the parameter with $\alpha=1/r$, let $\delta=(n-1,\ldots,0)$, and let $J_{\lambda }^{r\delta }$ denote the normalized symmetric interpolation polynomial. For partitions…