NameBriand, Emmanuel
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Contratado Doctor
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  • No. publications

    29

  • No. visits

    2047

  • No. downloads

    3016


 

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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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On partitions with K corners not containing the staircase with one more corner

Briand, Emmanuel (Elsevier, 2022)
We give three proofs of the following result conjectured by Carriegos, De Castro-García and Muñoz Castañeda in their work ...
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The chamber complex for the Littlewood-Richardson coefficients of GL4

Briand, Emmanuel; Rosas Celis, Mercedes Helena; Trandafir, Stefan (Universidad de Sevilla, 2020)
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On partitions with k corners not containing the staircase with one more corner

Briand, Emmanuel (Cornell University, 2020)
We give three proofs of the following result conjectured by Carriegos, De Castro-Garc\'ıa and Muñoz Castañeda in their ...
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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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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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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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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.
PhD Thesis
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Estabilidad en teoría combinatoria de la representación

Colmenarejo Hernando, Laura; Briand, Emmanuel; Rosas Celis, Mercedes Helena (2016)
Esta tesis presenta el estudio de dos familias de coeficientes: los coeficientes del pletismo y los coeficientes de Kronecker. ...
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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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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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Rectangular symmetries for coe cients of symmetric functions

Briand, Emmanuel; Orellana, Rosa; Rosas Celis, Mercedes Helena (The Electronic Journal of Combinatorics, 2015)
We show that some of the main structural constants for symmetric functions (Littlewood-Richardson coe cients, Kronecker ...
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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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Combinatorial proof for a stability property of plethysm coefficients

Colmenarejo Hernando, Laura; Briand, Emmanuel (Elsevier, 2014)
Plethysm coefficients are important structural constants in the representation the- ory of the symmetric groups and general ...
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The stability of the Kronecker products of Schur functions

Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (Elsevier, 2011)
In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur ...
Chapter of Book
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Covariants Vanishing on Totally Decomposable Forms

Briand, Emmanuel; Alonso, María Emilia; Arrondo, Enrique; Mallavibarrena, Raquel; Sols, Ignacio (Birkhäuser Verlag, 2010)
We consider the problem of providing systems of equations characterizing the forms with complex coefficients that are ...
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Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH

Briand, Emmanuel; Orellana, Rosa C.; Rosas Celis, Mercedes Helena (Springer, 2009)
We provide counter–examples to Mulmuley’s strong saturation conjecture (strong SH) for the Kronecker coefficients. This ...
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Milne's volume function and vector symmetric polynomials

Briand, Emmanuel; Rosas Celis, Mercedes Helena (Elsevier, 2009)
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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On the Sn-module structure of the noncommutative harmonics

Briand, Emmanuel; Rosas Celis, Mercedes Helena; Zabrocki, Mike (Elsevier, 2008)
Using the a noncommutative version of Chevalley’s theorem due to Bergeron, Reutenauer, Rosas, and Zabrocki we compute the ...
Chapter of Book
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Some Covariants Related to Steiner Surfaces

Aries, Franck; Briand, Emmanuel; Bruchou, Claude; Jüttler, Bert; Piene, Ragni (Springer, 2008)
A Steiner surface is the generic case of a quadratically parameterizable quartic surface used in geometric modeling. This ...
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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 whose ...
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Equations, inequations and inequalities characterizing the configurations of two real projective conics

Briand, Emmanuel (Springer, 2007)
Couples of proper, non-empty real projective conics can be classified modulo rigid isotopy and ambient isotopy. We characterize ...
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On a matrix function interpolating between determinant and permanent

Briand, Emmanuel (Elsevier, 2005)
A matrix function, depending on a parameter t, and interpolating between the determinant and the permanent, is introduced. ...
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When is the algebra of multisymmetric polynomials generated by the elementary multisymmetric polynomials?

Briand, Emmanuel (Heldermann Verlag, 2004)
Multisymmetric polynomials are the $r$-fold diagonal invariants of the symmetric group ${\mathfrak{S}}_n$. Elementary ...
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Brill's equations of the subvariety of the products of linear forms

Briand, Emmanuel (Universidad de Cantabria, 2004)
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The moduli space of three-qutrit states

Briand, Emmanuel; Luque, Jean-Gabriel; Thibon, Jean-Yves; Verstraete, Frank (American Institute of Physics, 2004)
We study the invariant theory of trilinear forms over a three-dimensional complex vector space, and apply it to investigate ...
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A complete set of covariants of the four qubit system

Briand, Emmanuel; Luque, Jean-Gabriel; Thibon, Jean-Yves (IOS Press, 2003)
We obtain a complete and minimal set of 170 generators for the algebra of SL(2, C )×4- covariants of a binary quadrilinear ...
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Multivariate Newton Sums: Identities and Generating Functions

Briand, Emmanuel; González Vega, Laureano (Taylor and Francis, 2002)
This paper is devoted to present, first, a family of formulas extending to the multivariate case the classical Newton (or ...