3 problems

The planar bipartite graph basis conjecture for $S^{(k,k,k,1^{n-3k})}$
Let $A$ be the set of planar bipartite graphs embedded in a disk satisfying the following conditions: there are $n$ boundary vertices, all in the same part of a bipartition; every…
openplanar-graphs representation-theory web-bases
0 responses
04
Russell–Tymoczko positivity conjecture for the transitioning matrix
Let $\mathcal{T}(n,n)$ be the set of standard Young tableaux of shape $(n,n)$ , let $\{v_T:T\in\mathcal{T}(n,n)\}$ and $\{w_S:S\in\mathcal{T}(n,n)\}$ be the tableau and web bases of…
openspecht-modules web-bases young-tableaux
0 responses
03
Positivity conjecture for the Specht-to-web transition coefficients
Transition-coefficient positivity conjecture. For every tableau $T'$ with corresponding web $w'$ , one has
openrepresentation-theory symmetric-groups web-bases
0 responses
05

The planar bipartite graph basis conjecture for S(k,k,k,1n−3k)S^{(k,k,k,1^{n-3k})}S(k,k,k,1n−3k)