Perfil del autor: Rosas Celis, Mercedes Helena
Datos institucionales
Nombre | Rosas Celis, Mercedes Helena |
Departamento | Algebra |
Área de conocimiento | Álgebra |
Categoría profesional | Profesora Titular de Universidad |
Correo electrónico | Solicitar |
Estadísticas
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Nº publicaciones
39
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Nº visitas
4024
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Nº descargas
5023
Publicaciones |
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Artículo
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 ... |
Trabajo Fin de Máster
Generalizaciones de la fórmula de Graham-Pollak. 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) ... |
Artículo
Partial symmetries of iterated plethysms
(Springer, 2023)
This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The ... |
Artículo
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 ... |
Trabajo Fin de Grado
Una prueba combinatoria de la fórmula Graham-Pollak
(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 Lindström-Gessel-Viennot method. |
Trabajo Fin de Grado
Tableaux, representaciones y la dualidad de Schur-Weyl
(2023)
The main objective of this work is to study the relation between representations of the symmetric group and those of the ... |
Trabajo Fin de Grado
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. ... |
Artículo
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 ... |
Artículo |
Ponencia
The chamber complex for the Littlewood-Richardson coefficients of GL4
(Universidad de Sevilla, 2020)
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Artículo
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 ... |
Artículo
The 144 symmetries of the Littlewood-Richardson coefficients of SL3
(Cornell University, 2020)
We compute with SageMath the group of all linear symmetries for the Littlewood-Richardson associated to the representations of ... |
Artículo
A comment of the combinatorics of the vertex operator Γ(t|X)
(Project euclid, 2019)
The Jacobi--Trudi identity associates a symmetric function to any integer sequence. Let Γ(t|X) be the vertex operator ... |
Artículo
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 ... |
Artículo
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. |
Tesis Doctoral
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. ... |
Ponencia
Invariance properties for coefficients of symmetric functions
(2016)
We show that several of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker ... |
Artículo
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 ... |
Artículo
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 ... |
Artículo
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 ... |
Artículo
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 (Littlewood-Richardson coe cients, Kronecker ... |
Artículo
Rectangular symmetries for coefficients of symmetric functions
(American Mathematical Society, 2015)
We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker ... |
Artículo
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 ... |
Artículo
Reduced Kronecker coefficients and counter-examples 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 ... |
Artículo
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 ... |
Artículo
On the Sn-module 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 ... |
Artículo
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 ... |
Artículo
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 ... |
Artículo
Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row 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 ... |
Artículo
Resolutions of De Concini-Procesi 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 ... |
Artículo
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 ... |
Artículo
Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables
(American Mathematical Society, 2006)
We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual ... |
Artículo
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. ... |
Artículo
Los números de (Euler)-Catalan
(Asociación Matemática Venezolana, 2003)
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Artículo
Sumando la derivada de la serie geométrica
(Asociación Matemática Venezolana, 2003)
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Artículo
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 ... |
Artículo
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 ... |
Artículo
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 ... |
Artículo
The Kronecker product of Schur functions indexed by two-row 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 ... |