4 problems

Octahedral-map conjecture. The map $\varsigma$ and the map defined in KTW are identical and linearly equivalent to maps in Theorem 1. The paper has already shown that its tableau-s…

Let $\varphi$ denote the RSK map and let $\phi$ denote the Littlewood–Robinson map; the source has previously established that both maps are one-to-one. Inverse-equivalence conject…

The Fundamental Symmetry maps are defined on Littlewood–Richardson tableaux: $\rho_1$ is the first Fundamental Symmetry map, $\rho_2$ is the map defined earlier in the paper,…

Gessel-sequence interpretation conjecture. The sequence $b_n$ has a combinatorial interpretation of type (C1).