Decomposing Inversion Sets of Permutations and Applications to Faces of the Littlewood-Richardson Cone

R. Dewji, I. Dimitrov, A. McCabe +3

If $\alpha \in S_n$ is a permutation of $\{1,2,\dots ,n\}$, the inversion set of $\alpha$ is $\Phi (\alpha )=\{(i,j)|1\le i<j\le n,\alpha (i)>\alpha (j)\}$. We describe all $r$-tuples $α_1,…