Emmanuel Briand's Publications
pdf = pdf file (preliminary version for the papers with copyright)
published = link to published paper (journal)
complements = Sage notebook (.ipynb)
complements = other complements
Preprints
pdf Companion sage notebook
The 144 symmetries of the Littlewood-Richardson coefficients of \(SL_3\).
Emmanuel Briand Mercedes Rosas.
e-print, ArXiv:2004.04995 [math.CO] (2020)
pdf Companion sage notebook
On the growth of the Kronecker coefficients.
Emmanuel Briand, Amarpreet Rattan and Mercedes Rosas.
e-print, ArXiv: 1607.02887 [math.RT] (2016)
Articles in Journals
pdf paper published in journal
All linear symmetries of the \(\mathit{SU}(3)\) tensor multiplicities.
Emmanuel Briand, Mercedes Rosas and Stefan Trandafir.
Journal of Physics A: Mathematical and Theoretical. Vol. 57, num. 1, art. 015205 (2024))
Preliminary version: e-print, arXiv:2305.08188 [math.RT] (2023)
pdf paper published in journal
On partitions with \(k\) corners not containing the staircase with one more corner.
Emmanuel Briand.
Discrete Applied Mathematics, vol. 314, pp. 162-168 (2022)
e-print, ArXiv:2004.13180 [math.CO] (2020)
pdf paper published in journal
Normally ordered forms of powers of differential operators and their combinatorics.
Emmanuel Briand, Samuel Lopes and Mercedes Rosas.
Journal of Pure and Applied Algebra. vol. 224(8) article num. 106312 (august 2020).
Also e-print, ArXiv: 1811.00857 [math.CO] (2018)
pdf paper published in journal
Commutation and normal ordering for operators on symmetric functions.
Emmanuel Briand, Peter R.W. McNamara, Rosa Orellana and Mercedes Rosas.
Séminaire Lotharingien de combinatoire, vol.80, article B80d (2019)
pdf paper published in journal
Rectangular symmetries for coefficients of symmetric functions.
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
Electronic Journal of Combinatorics, vol. 22 issue 3, paper num. P3-15 (2015).
pdf paper published in journal
The stability of the Kronecker products of Schur functions.
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
Journal of Algebra, vol. 331(1) pp. 11-27 (2011).
pdf paper published in journal
Reduced Kronecker coefficients and counter-examples to Mulmuley's strong saturation conjecture SH.
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
Computational Complexity, vol. 18(4) pp. 577-600 (2009).
pdf paper published in journal
Milne's volume function and vector symmetric polynomials.
Emmanuel Briand and Mercedes Rosas.
Journal of Symbolic Computation vol. 44, pp. 583-590 (2009).
pdf paper published in journal
On the \(\mathfrak{S}_n\)-module structure of the noncommutative harmonics.
Emmanuel Briand, Mercedes Rosas and Mike Zabrocki.
Journal of Combinatorial Theory, series A vol. 115(6), pp. 1077-1085 (2008).
pdf paper published in journal Complements
Equations, inequations and inequalities characterizing the configurations of two real projective conics.
Emmanuel Briand.
Applicable Algebra in Engineering, Communication and Computing vol. 18 (1-2), pp. 21-52 (2007).
pdf paper published in journal
On a matrix function interpolating between determinant and permanent.
Emmanuel Briand.
Linear Algebra and its applications vol. 411 (special issue on Determinants and the legacy of Sir Thomas Muir), pp. 343-347 (2005).
pdf paper published in journal
The moduli space of three qutrit states.
Emmanuel Briand, Jean-Gabriel Luque, Jean-Yves Thibon and Frank Verstraete.
Journal of Mathematical Physics vol. 45, num. 12, pp. 4855-4867, (2004).
pdf paper published in journal
When is the Algebra of Multisymmetric Polynomials generated by the Elementary Multisymmetric Polynomials ?.
Emmanuel Briand.
Beiträge zur Algebra und Geometrie vol.45(2), 353-368 (2004).
pdf paper published in journal
A Complete Set of Covariants of the Four Qubit System.
Emmanuel Briand, Jean-Gabriel Luque and Jean-Yves Thibon.
Journal of Physics A: Math. Gen. 38, pp. 9915-9927 (2003).
paper published in journal
Multivariate Newton Sums : Identities and Generating Functions.
Emmanuel Briand and Laureano González-Vega.
Communications in Algebra vol. 30, num. 9, pp. 4527-4547 (2002).
Book chapters
pdf paper published in journal
Covariants decomposing on totally decomposable forms.
Emmanuel Briand.
pp. 237-256 in Liaison, Schottky Problem and Invariant Theory. Remembering Federico Gaeta , ed: Alonso M.E., Arrondo E., Mallavibarrena R., Sols I. Progress in Mathematics 280, Birkhauser (2010).
pdf paper published in journal
Complements
Some covariants related to Steiner surfaces.
Franck Aries, Emmanuel Briand and Claude Bruchou.
pp. 31-46 in Geometric Modeling and Algebraic Geometry, ed. Bert Jüttler and Ragni Piene, Springer, ISBN 978-3-540-72184-0 (2008).
Conference Proceedings
pdf paper published in journal
On the growth of Kronecker coefficients.
Emmanuel Briand, Amarpreet Rattan and Mercedes Rosas.
Séminaire Lotharingien de Combinatoire 78B, 29th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2017), article 70 (2017).
This abstract is a short version of the detailed paper of the same name.
paper published in journal
Invariance properties for coefficients of symmetric functions.
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015), pp. 619-630 (2015).
pdf paper published in journal
Combinatorial proof for a stability property of plethysm coefficients.
Emmanuel Briand and Laura Colmenarejo.
Electronic Notes in Discrete Mathematics . Vol. 46.
Proceedings of the IX Jornadas de Matemática discreta y algoritmica (Tarragona, 9-11 july 2014).
Edited by Juan Alberto Rodríguez Velázquez and Ismael González Yero.
pp. 43--50 (sept. 2014).
Generating vector partitions.
Emmanuel Briand.
Avances en Matemática Discreta en Andalucía. vol 2.
VII encuentro andaluz de matemática discreta,
ed. José Caceres, Clara Grima, Alberto Márquez, María Luz Puertas.
Univ. de Almería, ISBN 978-84-694-5627-9.
pp. 17-23 (2012).
pdf paper published in journal
The stability of the Kronecker product of Schur functions.
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
DMTCS Proceedings, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), pp. 557-568 (2010).
pdf paper published in journal
Quasipolynomial formulas for the Kronecker coefficients indexed by two two-row shapes (extended abstract).
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
DMTCS Proceedings, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009), pp. 241-252 (2009).
pdf
Reduced Kronecker coefficients.
Emmanuel Briand, Rosa Orellana and Mercedes Rosas.
Actas de los XI Encuentros de Algebra Computacional y Aplicaciones: EACA 2008 (Granada), pp. 101-104.
pdf
Diagonally symmetric polynomials of the roots of some systems of polynomial equations .
Emmanuel Briand.
Actas de los X Encuentros de Algebra Computacional y Aplicaciones: EACA 2006 (Sevilla), 61-64.
pdf
Brill's equations for the subvariety of factorizable forms .
Emmanuel Briand.
Actas de los IX Encuentros de Algebra Computacional y Aplicaciones: EACA 2004 (Santander), 59-63.
Other works
pdf
Une traduction de Das Zerfallen der Curven in gerade Linien (Au sujet des courbes qui se décomposent en lignes droites) de Paul Gordan.
Emmanuel Briand and Andreas Seidl.
2005.
pdf
Duality for couples of conics.
Emmanuel Briand.
2005, 10 pp.