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Listar por autor "Rosas Celis, Mercedes Helena"
Mostrando ítems 1-20 de 39
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Artículo
A combinatorial overview of the Hopf algebra of MacMahon symmetric functions
Rosas Celis, Mercedes Helena; Rota, Gian-Carlo; Stein, Joel (Springer, 2002-11)A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal ...
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Artículo
A comment of the combinatorics of the vertex operator Γ(t|X)
Rosas Celis, Mercedes Helena (Project euclid, 2019-12-08)The Jacobi--Trudi identity associates a symmetric function to any integer sequence. Let Γ(t|X) be the vertex operator ...
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Artículo
All linear symmetries of the SU(3) tensor multiplicities
Briand, Emmanuel; Rosas Celis, Mercedes Helena; Trandafir, Stefan (IOP Science, 2024)The SU(3) tensor multiplicities are piecewise polynomial of degree 1 in their labels. The pieces are the chambers of a ...
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Artículo
Combinatorics on a family of reduced Kronecker coefficients
Colmenarejo Hernando, Laura; Rosas Celis, Mercedes Helena (Académie des Sciences, 2015-08-28)The reduced Kronecker coefficients are particular instances of Kronecker coefficients, that nevertheless contain enough ...
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Artículo
Combinatorics on a family of reduced Kronecker coefficients
Colmenarejo Hernando, Laura; Rosas Celis, Mercedes Helena (Elsevier, 2015-10)The reduced Kronecker coefficients are particular instances of Kronecker coefficients that contain enough information to ...
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Artículo
Commutation and normal ordering for operators on symmetric functions
Briand, Emmanuel; McNamara, Peter R. W.; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (2019)We study the commutation relations and normal ordering between families of operators on symmetric functions. These operators ...
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Tesis Doctoral
Estabilidad en teoría combinatoria de la representación
Colmenarejo Hernando, Laura (2016-04-29)Esta tesis presenta el estudio de dos familias de coeficientes: los coeficientes del pletismo y los coeficientes de Kronecker. ...
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Trabajo Fin de Máster
Generalizaciones de la fórmula de Graham-Pollak. Una prueba combinatoria.
Esquivias Quintero, Luis (2023-06)A famous formula of Graham and Pollak (1971) describes the determinant of the distance matrix of a tree T of order ...
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Artículo
Grothendieck bialgebras, Partition lattices, and symmetric functions in noncommutative variables
Bergeron, Nantel; Hohlweg, Christophe; Rosas Celis, Mercedes Helena; Zabrocki, Mike (American Mathematical Society, 2006)We show that the Grothendieck bialgebra of the semi-tower of partition lattice algebras is isomorphic to the graded dual ...
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Artículo
Inequalities between Littlewood–Richardson coefficients
Bergeron, François; Biagioli, Riccardo; Rosas Celis, Mercedes Helena (Elsevier, 2006-05)We prove that a conjecture of Fomin, Fulton, Li, and Poon, associated to ordered pairs of partitions, holds for many ...
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Ponencia
Invariance properties for coefficients of symmetric functions
Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (2016)We show that several of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker ...
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Artículo
Invariants and coinvariants of the symmetric group in noncommuting variables
Bergeron, Nantel; Reutenauer, Christophe; Rosas Celis, Mercedes Helena; Zabrocki, Mike (University of Toronto Press, 2008)We introduce a natural Hopf algebra structure on the space of noncommutative symmetric functions. The bases for this algebra ...
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Artículo
MacMahon symmetric functions, the partition lattice, and young subgroups
Rosas Celis, Mercedes Helena (Elsevier, 2001-11)A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal ...
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Artículo
Milne's volume function and vector symmetric polynomials
Briand, Emmanuel; Rosas Celis, Mercedes Helena (Elsevier, 2009-05)The number of real roots of a system of polynomial equations fitting inside a given box can be counted using a vector ...
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Artículo
Necessary conditions for the positivity of Littlewood–Richardson and plethystic coefficients
Gutiérrez Cáceres, Álvaro; Rosas Celis, Mercedes Helena (Académie des Sciences, 2023-01-26)We give necessary conditions for the positivity of Littlewood–Richardson coefficients and SXP coefficients. We deduce ...
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Artículo
Normally ordered forms of powers of differential operators and their combinatorics
Briand, Emmanuel; Lopes, Samuel A.; Rosas Celis, Mercedes Helena (Elsevier, 2020)We investigate the combinatorics of the general formulas for the powers of the operator h∂k, where h is a central element ...
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Artículo
Los números de (Euler)-Catalan
Rosas Celis, Mercedes Helena (Asociación Matemática Venezolana, 2003) -
Artículo
On the growth of the Kronecker coefficients
Briand, Emmanuel; Rattan, Amarpreet; Rosas Celis, Mercedes Helena (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.
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Artículo
On the growth of the Kronecker coefficients: accompanying appendices
Briand, Emmanuel; Rattan, Amarpreet; Rosas Celis, Mercedes Helena (Cornell University, 2016)This text is an appendix to our work ”On the growth of Kronecker coefficients” [1]. Here, we provide some complementary ...
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Artículo
On the Sn-module structure of the noncommutative harmonics
Briand, Emmanuel; Rosas Celis, Mercedes Helena; Zabrocki, Mike (Elsevier, 2008-08)Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the ...