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math.CO2024
The lattice of submonoids of the uniform block permutations containing the symmetric group
Rosa Orellana, Franco Saliola, Anne Schilling +1
We study the lattice of submonoids of the uniform block permutation monoid containing the symmetric group (which is its group of units). We prove that this lattice is distributive…
math.CO2024★ 1 cited
From quasi-symmetric to Schur expansions with applications to symmetric chain decompositions and plethysm
Rosa Orellana, Franco Saliola, Anne Schilling +1
It is an important problem in algebraic combinatorics to deduce the Schur function expansion of a symmetric function whose expansion in terms of the fundamental quasisymmetric func…