Transpose duality conjecture for preorder multichain matrices
Let τ\tauτ be a preorder, and for k,ℓ∈Nk,\ell\in\mathbb Nk,ℓ∈N let ∇τ(k,ℓ)\nabla_\tau(k,\ell)∇τ(k,ℓ) denote the number of kkk-multichains in the poset of lattice points of ℓQτ\ell\mathcal Q_\tauℓQτ. Trans…