Author profile: Rosas Celis, Mercedes Helena
Institutional data
Name  Rosas Celis, Mercedes Helena 
Department  Algebra 
Knowledge area  Álgebra 
Professional category  Profesora Titular de Universidad 
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No. publications
39

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3307

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4538
Publications 

Article
All linear symmetries of the SU(3) tensor multiplicities
(IOP Science, 2024)
The SU(3) tensor multiplicities are piecewise polynomial of degree 1 in their labels. The pieces are the chambers of a ... 
Master's Final Project
Generalizaciones de la fórmula de GrahamPollak. Una prueba combinatoria.
(2023)
A famous formula of Graham and Pollak (1971) describes the determinant of the distance matrix of a tree T of order n: detM(T) ... 
Article
Partial symmetries of iterated plethysms
(Springer, 2023)
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The ... 
Article
Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients
(Académie des Sciences, 2023)
We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce ... 
Final Degree Project
Una prueba combinatoria de la fórmula GrahamPollak
(2023)
In this senior thesis we present the first combinatorial proof for the renowned Graham and Pollak’s formula for the determinant of the distance matrix of a tree, based on the LindströmGesselViennot method. 
Final Degree Project
Tableaux, representaciones y la dualidad de SchurWeyl
(2023)
The main objective of this work is to study the relation between representations of the symmetric group and those of the ... 
Final Degree Project
Positivity conditions and hook+column sequences of plethystic coefficients
(2021)
In this work we aim to study and better understand the coefficients of the plethystic operation on the symmetric functions. ... 
Article
Vector partition functions and Kronecker coefficients
(IOP Science, 2021)
The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general ... 
Article 
Presentation
The chamber complex for the LittlewoodRichardson coefficients of GL4
(Universidad de Sevilla, 2020)

Article
Normally ordered forms of powers of differential operators and their combinatorics
(Elsevier, 2020)
We investigate the combinatorics of the general formulas for the powers of the operator h∂k, where h is a central element ... 
Article
The 144 symmetries of the LittlewoodRichardson coefficients of SL3
(Cornell University, 2020)
We compute with SageMath the group of all linear symmetries for the LittlewoodRichardson associated to the representations of ... 
Article
A comment of the combinatorics of the vertex operator Γ(tX)
(Project euclid, 2019)
The JacobiTrudi identity associates a symmetric function to any integer sequence. Let Γ(tX) be the vertex operator ... 
Article
Commutation and normal ordering for operators on symmetric functions
(2019)
We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators ... 
Article
On the growth of the Kronecker coefficients
(2017)
We study the rate of growth experienced by the Kronecker coefficients as we add cells to the rows and columns indexing partitions. We do this by moving to the setting of the reduced Kronecker coefficients. 
PhD Thesis
Estabilidad en teoría combinatoria de la representación
(2016)
Esta tesis presenta el estudio de dos familias de coeﬁcientes: los coeﬁcientes del pletismo y los coeﬁcientes de Kronecker. ... 
Article
On the growth of the Kronecker coefficients: accompanying appendices
(Cornell University, 2016)
This text is an appendix to our work ”On the growth of Kronecker coefficients” [1]. Here, we provide some complementary ... 
Presentation
Invariance properties for coefficients of symmetric functions
(2016)
We show that several of the main structural constants for symmetric functions (LittlewoodRichardson coefficients, Kronecker ... 
Article
Combinatorics on a family of reduced Kronecker coefficients
(Elsevier, 2015)
The reduced Kronecker coefficients are particular instances of Kronecker coefficients that contain enough information to ... 
Article
Combinatorics on a family of reduced Kronecker coefficients
(Académie des Sciences, 2015)
The reduced Kronecker coefficients are particular instances of Kronecker coefficients, that nevertheless contain enough ... 
Article
Rectangular symmetries for coe cients of symmetric functions
(The Electronic Journal of Combinatorics, 2015)
We show that some of the main structural constants for symmetric functions (LittlewoodRichardson coe cients, Kronecker ... 
Article
Rectangular symmetries for coefficients of symmetric functions
(American Mathematical Society, 2015)
We show that some of the main structural constants for symmetric functions (LittlewoodRichardson coefficients, Kronecker ... 
Article
The stability of the Kronecker products of Schur functions
(Elsevier, 2011)
In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur ... 
Article
Reduced Kronecker coefficients and counterexamples to Mulmuley's strong saturation conjecture SH
(Springer, 2009)
We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This ... 
Article
Milne's volume function and vector symmetric polynomials
(Elsevier, 2009)
The number of real roots of a system of polynomial equations fitting inside a given box can be counted using a vector ... 
Article
On the Snmodule structure of the noncommutative harmonics
(Elsevier, 2008)
Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the ... 
Article
The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman
(Oxford University Press, 2008)
Tanisaki introduced generating sets for the defining ideals of the schematic intersections of the closure of conjugacy ... 
Article
Invariants and coinvariants of the symmetric group in noncommuting variables
(University of Toronto Press, 2008)
We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra ... 
Article
Quasipolynomial formulas for the Kronecker coefficients indexed by two tworow shapes (extended abstract)
(Cornell University, 2008)
We show that the Kronecker coefficients indexed by two two–row shapes are given by quadratic quasipolynomial formulas whose ... 
Article
Resolutions of De ConciniProcesi ideals of hooks
(Taylor & Francis, 2007)
We find a minimal generating set for the defining ideal of the schematic intersection of the set of diagonal matrices with ... 
Article
Inequalities between Littlewood–Richardson coefficients
(Elsevier, 2006)
We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many ... 
Article
Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables
(American Mathematical Society, 2006)
We show that the Grothendieck bialgebra of the semitower of partition lattice algebras is isomorphic to the graded dual ... 
Article
Symmetric functions in noncommuting variables
(American Mathematical Society, 2006)
Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. ... 
Article
Los números de (Euler)Catalan
(Asociación Matemática Venezolana, 2003)

Article
Sumando la derivada de la serie geométrica
(Asociación Matemática Venezolana, 2003)

Article
A combinatorial overview of the Hopf algebra of MacMahon symmetric functions
(Springer, 2002)
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal ... 
Article
Specializations of MacMahon symmetric functions and the polynomial algebra
(Elsevier, 2002)
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal ... 
Article
MacMahon symmetric functions, the partition lattice, and young subgroups
(Elsevier, 2001)
A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal ... 
Article
The Kronecker product of Schur functions indexed by tworow shapes or hook shapes
(Springer, 2001)
The Kronecker product of two Schur functions sµ and sν, denoted by sµ ∗ sν, is the Frobenius characteristic of the tensor ... 