7 citations · 15 across the 5 of their papers we have counts for
5 papers · 1 filter
A geometric and generating function approach to plethysm
Álvaro Gutiérrez, Rosa Orellana, Franco Saliola +2
Plethysm coefficients are the structure coefficients of the plethysm of Schur functions . We study a bivariate gener…
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…
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…
The mystery of plethysm coefficients
Laura Colmenarejo, Rosa Orellana, Franco Saliola +2
Composing two representations of the general linear groups gives rise to Littlewood's (outer) plethysm. On the level of characters, this poses the question of finding the Schur exp…
A positivity conjecture on the structure constants of shifted Jack functions
Per Alexandersson, Valentin Féray
We consider Jack polynomials and their shifted analogue $J^#_λ$. In 1989, Stanley conjectured that is a polynomial with nonnegative coefficients…