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Listar por autor "Rosas Celis, Mercedes Helena"
Mostrando ítems 21-39 de 39
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Artículo
Partial symmetries of iterated plethysms
Gutiérrez Cáceres, Álvaro; Rosas Celis, Mercedes Helena (Springer, 2023-05-03)This work highlights the existence of partial symmetries in large families of iterated plethystic coefficients. The ...
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Trabajo Fin de Grado
Positivity conditions and hook+column sequences of plethystic coefficients
Gutiérrez Cáceres, Álvaro (2021-06-01)In this work we aim to study and better understand the coefficients of the plethystic operation on the symmetric functions. ...
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Trabajo Fin de Grado
Una prueba combinatoria de la fórmula Graham-Pollak
Lillo Pinto, Adrián (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.
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Artículo
Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract)
Briand, Emmanuel; Orellana, Rosa; Rosas Celis, Mercedes Helena (Cornell University, 2008)We show that the Kronecker coefficients indexed by two two–row shapes are given by quadratic quasipolynomial formulas ...
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Artículo
Rectangular symmetries for coe cients of symmetric functions
Briand, Emmanuel; Orellana, Rosa; Rosas Celis, Mercedes Helena (The Electronic Journal of Combinatorics, 2015-07-31)We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coe cients, Kronecker ...
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Artículo
Rectangular symmetries for coefficients of symmetric functions
Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (American Mathematical Society, 2015)We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coefficients, Kronecker ...
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Artículo
Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH
Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (Springer, 2009-12)We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This ...
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Artículo
Resolutions of De Concini-Procesi ideals of hooks
Biagioli, Riccardo; Faridi, Sara; Rosas Celis, Mercedes Helena (Taylor & Francis, 2007)We find a minimal generating set for the defining ideal of the schematic intersection of the set of diagonal matrices with ...
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Artículo
Schur generating functions and the asymptotics of structural constants from combinatorial representation theory
Rosas Celis, Mercedes Helena; Briand, Emmanuel (2020-02-29) -
Artículo
Specializations of MacMahon symmetric functions and the polynomial algebra
Rosas Celis, Mercedes Helena (Elsevier, 2002-03-06)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
Sumando la derivada de la serie geométrica
Boulton, Lyonell; Rosas Celis, Mercedes Helena (Asociación Matemática Venezolana, 2003) -
Artículo
Symmetric functions in noncommuting variables
Rosas Celis, Mercedes Helena; Sagan, Bruce E. (American Mathematical Society, 2006)Consider the algebra Qhhx1, x2, . . .ii of formal power series in countably many noncommuting variables over the rationals. ...
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Trabajo Fin de Grado
Tableaux, representaciones y la dualidad de Schur-Weyl
Ocampo Amaya, Aarón (2023)The main objective of this work is to study the relation between representations of the symmetric group and those of the ...
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Artículo
The 144 symmetries of the Littlewood-Richardson coefficients of SL3
Briand, Emmanuel; Rosas Celis, Mercedes Helena (Cornell University, 2020)We compute with SageMath the group of all linear symmetries for the Littlewood-Richardson associated to the representations of ...
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Ponencia
The chamber complex for the Littlewood-Richardson coefficients of GL4
Briand, Emmanuel; Rosas Celis, Mercedes Helena; Trandafir, Stefan (Universidad de Sevilla, 2020) -
Artículo
The defining ideals of conjugacy classes of nilpotent matrices and a conjecture of Weyman
Biagioli, Riccardo; Faridi, Sara; Rosas Celis, Mercedes Helena (Oxford University Press, 2008)Tanisaki introduced generating sets for the defining ideals of the schematic intersections of the closure of conjugacy ...
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Artículo
The Kronecker product of Schur functions indexed by two-row shapes or hook shapes
Rosas Celis, Mercedes Helena (Springer, 2001-09)The Kronecker product of two Schur functions sµ and sν, denoted by sµ ∗ sν, is the Frobenius characteristic of the tensor ...
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Artículo
The stability of the Kronecker products of Schur functions
Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (Elsevier, 2011-04-01)In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur ...
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Artículo
Vector partition functions and Kronecker coefficients
Mishna, Marni; Rosas Celis, Mercedes Helena; Sundaram, Sheila (IOP Science, 2021-04-01)The Kronecker coefficients are the structure constants for the restriction of irreducible representations of the general ...