7 citations · 15 across the 7 of their papers we have counts for
7 papers
Rook characters as symmetric functions
Rosa Orellana, Alexander N. Wilson, Mike Zabrocki
We give several characterizations of an inhomogeneous basis of the ring of symmetric functions whose evaluations are the character values of the irreducible representations of the…
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…