L-log-concavity and a proof of the conjecture of Lam, Postnikov and Pylyavskyy

David E Speyer

Let $\lambda$, $\mu$, ${\lambda }^{\prime }$, ${\mu }^{\prime }$ be partitions. The conjecture of Lam, Postnikov and Pylyavskyy states that, if $\lambda +\mu ={\lambda }^{\prime }+{\mu }^{\prime }$, and $\min(λ_i-λ_j, μ_i-μ_j) \leq λ'_i - λ'_j \leq \max(λ_i-λ…