Mercedes Rosas

My publications.

Non-intersecting Paths and the Determinant of the Distance Matrix of a Tree, (2024)

with Emmanuel Briand, Luis Esquivias-Quintero, Álvaro Gutiérrez, and Adrián Lillo.
Extended abstract (FPSAC)
Arxiv
All linear symmetries of the tensor multiplicities of SU(3).

with Emmanuel Briand and Stefan Trandafir
Journal of Physics A: Mathematical and Theoretical. Vol. 57,1 (2024)
JoP-A and Arxiv
Partial symmetries of iterated plethysms.

with Álvaro Gutiérrez Cáceres
Annals of Combinatorics. Volume 27, issue 3, September (2023)
AC and Arxiv
Necessary conditions for the positivity of Littlewood-Richardson and plethystic coefficients.

with Álvaro Gutiérrez Cáceres
Comptes Rendus Mathematiques, Volume 361 (2023)
CR and Arxiv
Vector partition functions and Kronecker coefficients

with Marni Mishna and Sheila Sundaram
Journal of Physics A 54, no. 20, Paper No. 205204, 29 pp. (2021)
JoP-A and Arxiv
Normally ordered forms of powers of differential operators and their combinatorics

with Emmanuel Briand and Samuel Lopes
Journal of Pure and Applied Algebra. vol. 224(8) article num. 106312, (2020)
JPAA and Arxiv
Schur generating functions and the asymptotics of structural constants from combinatorial representation theory

with Emmanuel Briand
Oberwolfach Reports - Volume 17, Issue 1, pp. 517–568, (2020)
MFO
The 144 symmetries of the Littlewood-Richardson coefficients of $SL_3$,

with Emmanuel Briand
Arxiv, (2020)
La historia del proyecto El Alﬁl Matemático,

Espacio Matemático Vol. 1 (No. 2) 2020, pp. 129-139.
US
A comment of the combinatorics of the vertex operator $\Gamma {(t|X)}$

Rocky Mountain Journal of Mathematics, Volume 49, Number 7, 2281-2295, (2019)
Arxiv
On the growth of Kronecker coefficients

with Emmanuel Briand and Rattan, Amarpreet
Sém. Lothar. Combin. 78B, Art. 70, 12 pp. (2017)
Extended version Arxiv, Appendices, Arxiv
Combinatorics on a family of reduced Kronecker coefficients

with Laura Colmenarejo
Comptes Rendus Mathématique, Académie des Sciences, Paris, (2015)
CR Arxiv
Commutation and normal ordering for operators on symmetric functions

with Emmanuel Briand,Peter McNamara, and Rosa Orellana
Dedicated to Ira Gessel
Séminaire Lotharingien de Combinatoire 80, Article B80d, (2019)
SLC and ArXiv
Rectangular Symmetries for coefficients of symmetric functions,

with E. Briand and R. Orellana
Electronic J. of Combinatorics, vol. 22, 3, (2015)
EJC ArXiv
Tres lecciones en combinatoria algebraica, I. Matrices totalmente negativas y funciones simétricas,

with Federico Ardila, Emerson León, and Mark Skandera,
universo.math, v.1. (2014)
ArXiV
Tres lecciones en combinatoria algebraica, II. Funciones simétricas y teoría de representaciones,

with Federico Ardila, Emerson León, and Mark Skandera,
universo.math, v.2. (2014)
ArXiV
Tres lecciones en combinatoria algebraica, III. Arreglos de hiperplanos,

with Ardila, León, Skandera
universo.math, v 3, (2014)
ArXiV
The stability of the Kronecker product of Schur functions,

with Emmanuel Briand and Rosa Orellana
Journal of Algebra. 331, 11-27, (2011)
ArXiV
Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes

with Emmanuel Briand, and Rosa Orellana
Discrete Mathematics and Theoretical Computer Science, (2010)
ArXiV
Reduced Kronecker coefficients and counter-examples to Mulmuley’s saturation conjecture SH

with an appendix by professor Ketan Mulmuley
with Emmanuel Briand, Rosa Orellana
Computational Complexity, Volume 18. 4, (2009).
Arxiv
Milne’s volume function and vector symmetric polynomials

with Emmanuel Briand
Journal of Symbolic Computation, Volume 44, Issue 5, Pages 583-590 (2009)
IdUS
The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman,

with Riccardo Biagioli and Sara Faridi\ International Math. Research Notes, IMRN, Art. ID rnn117, (2008)
IMRN and ArXiV
On the $S_n$-module structure of the noncommutative harmonics,

with E. Briand and M. Zabrocki
Journal of Combinatorial Theory, Series A. Vol 115, Issue 6, (2008).
JCTA and IdUS
Invariants and coinvariants of the symmetric group in noncommutative variables

with Nantel Bergeron, Christophe Reutenauer and Mike Zabrocki
Canadian Journal of Mathematics, 266–296, (2008)
CJM and ArXiV
Resolutions of De Concini-Procesi ideals indexed by hooks,

with Riccardo Biagioli and Sara Faridi
Communications in Algebra, 35 , no. 12, 3875–3891, (2007)
CA and ArXiV
Grothedieck bialgebras, partition lattices, and symmetric functions in noncommutative variables

with Nantel Bergeron, Christophe Hohlweg, and Mike Zabrocki
Electronic J. of Combinatorics 13, no. 1, 19 pp, (2006)
EJC and IdUS
Inequalities between Littlewood-Richardson coefficients,

with François Bergeron, and Riccardo Biagioli
Journal of Combinatorial Theory, Series A. Volume 113, Issue 4 (2006)
JCTA and ArXiV
Symmetric functions in noncommuting variables,

with Bruce Sagan\ Transactions of the American Mathematical Society 358, no. 1, 215–232, (2006)
TAMS and ArXiV
An overview of the plethystic Hopf algebra of MacMahon symmetric functions,

with Gian-Carlo Rota and Joel Stein
Annals of combinatorics, 6, pp. 195-207, (2003)
IdUS
Los números de (Euler)-Catalan,

Boletín de la Asociación Matemática Venezolana, Vol. X (2003).
BAMV
Sumando a la derivada de la serie geométrica,

with Lyonell Boulton Boletín de la Asociación
Matemática Venezolana, Vol. X (2003)
BAMV
Specializations of MacMahon symmetric functions and the polynomial algebra,

Discrete Mathematics, 246 (1-3) No. 2, pp. 285-293, (2002)
DM and IdUS
MacMahon symmetric functions, the partition lattice, and Young tableaux,

Journal of Combinatorial Theory. Series A. 96 No. 2, pp. 326-340, (2001)
JCTA and IdUS
The Kronecker product of Schur functions indexed by two-rwo shapes or hook shapes,

Journal of Algebraic Combinatorics 14 (2), pp. 153-173, (2001)
JofAC and ArXiV