67 citations · 211 across the 21 of their papers we have counts for
15 papers · 1 filter
Partial symmetries of iterated plethysms
Álvaro Gutiérrez, Mercedes H. Rosas
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The plethystic coefficients involved come from the expansion in the…
The 144 symmetries of the Littlewood-Richardson coefficients of
Emmanuel Briand, Mercedes Rosas
We compute with SageMath the group of all linear symmetries for the Littlewood-Richardson associated to the representations of . We find that there are 144 symmetries, more t…
Normally ordered forms of powers of differential operators and their combinatorics
Emmanuel Briand, Samuel A. Lopes, Mercedes Rosas
We investigate the combinatorics of the general formulas for the powers of the operator , where is a central element of a ring and is a differential op…
A comment of the combinatorics of the vertex operator
Mercedes Helena Rosas
The Jacobi--Trudi identity associates a symmetric function to any integer sequence. Let be the vertex operator defined by $Γ_{(t|X)} s_α=\sum_{n \in \mathbb{Z}} s_{(n,α…
Commutation and normal ordering for operators on symmetric functions
Emmanuel Briand, Peter R. W. McNamara, Rosa Orellana +1
We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators can be naturally defined by the operations of multiplic…
Combinatorics on a family of reduced Kronecker coefficients
Laura Colmenarejo, Mercedes Rosas
The reduced Kronecker coefficients are particular instances of Kronecker coefficients that contain enough information to recover them. In this notes we compute the generating funct…