67 citations · 211 across the 21 of their papers we have counts for
23 papers
All linear symmetries of the tensor multiplicities
Emmanuel Briand, Mercedes Rosas, Stefan Trandafir
The tensor multiplicities are piecewise polynomial of degree in their labels. The pieces are the chambers of a complex of cones. We describe in detail this cha…
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…
Necessary conditions for the positivity of Littlewood-Richardson and plethystic coefficients
Álvaro Gutiérrez, Mercedes H. Rosas
We give necessary conditions for the positivity of Littlewood-Richardson coefficients and SXP coefficients. We deduce necessary conditions for the positivity of the plethystic coef…
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…
Vector partition functions and Kronecker coefficients
Marni Mishna, Mercedes Rosas, Sheila Sundaram
The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general linear group into irreducibles for the subgroup $…