- idUS
- Investigación
- Ciencias
- Algebra
- Listar Algebra por autor
Listar Algebra por autor "Rosas Celis, Mercedes Helena"
Mostrando ítems 1-20 de 28
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
Artículo
Los números de (Euler)-Catalan
Rosas Celis, Mercedes Helena (Asociación Matemática Venezolana, 2003) -
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...
-
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 ...