Publications (42)
Connections between vector-valued and highest weight Jack and Macdonald polynomials
Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque
Bell polynomials in combinatorial Hopf algebras
Ammar Aboud, Jean-Paul Bultel, Ali Chouria +2
State complexity of catenation combined with boolean operations
Pascal Caron, Jean-Gabriel Luque, Bruno Patrou
Unitary invariants of qubit systems
Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon
Macdonald polynomials at $t=q^k$
Jean-Gabriel Luque
Hyperdeterminants on semilattices
Jean-Gabriel Luque
Nonlinear Random Matrix Statistics, symmetric functions and hyperdeterminants
Jean-Gabriel Luque, Pierpaolo Vivo
On the self-convolution of generalized Fibonacci numbers
Hacène Belbachir, Toufik Djellal, Jean-Gabriel Luque
Lazard's Elimination (in traces) is finite-state recognizable
Gérard Duchamp, Jean-Gabriel Luque
Staircase Macdonald polynomials and the $q$-Discriminant
Adrien Boussicault, Jean-Gabriel Luque
Geometric descriptions of entangled states by auxiliaries varieties
Frédéric Holweck, Jean-Gabriel Luque, Jean-Yves Thibon
Direct and dual laws for automata with multiplicities
Gérard Duchamp, Marianne Flouret, Eric Laugerotte +1
A combinatorial approach for the state complexity of the Shuffle product
Pascal Caron, Jean-Gabriel Luque, Bruno Patrou
Factorizations of symmetric Macdonald polynomials
Laura Colmenarejo, Charles F. Dunkl, Jean-Gabriel Luque
State complexity of multiple catenation
Pascal Caron, Jean-Gabriel Luque, Bruno Patrou
$r-$Bell polynomials in combinatorial Hopf algebras
Ali Chouria, Jean-Gabriel Luque
Transitive Hall sets
Gérard Henry Edmond Duchamp, Jean-Gabriel Luque, Marianne Deboysson-Flouret
State complexity of catenation combined with a boolean operation: a unified approach
Pascal Caron, Jean-Gabriel Luque, Ludovic Mignot +1
Operads, quasiorders, and regular languages
Samuele Giraudo, Jean-Gabriel Luque, Ludovic Mignot +1
Singularity of type $D_4$ arising from four qubit systems
Frédéric Holweck, Jean-Gabriel Luque, Michel Planat
Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula
Christophe Carré, Matthieu Deneufchatel, Jean-Gabriel Luque +1
Entanglement of four qubit systems: a geometric atlas with polynomial compass I (the finite world)
Frédéric Holweck, Jean-Gabriel Luque, Jean-Yves Thibon
Multilinear representations of Free PROs
Eric Laugerotte, Jean-Gabriel Luque, Ludovic Mignot +1
A combinatorial Hopf algebra for the boson normal ordering problem
Imad Eddine Bousbaa, Ali Chouria, Jean-Gabriel Luque
Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
Hacene Belbachir, Adrien Boussicault, Jean-Gabriel Luque
Free quasi-symmetric functions, product actions and quantum field theory of partitions
Gerard Henry Edmond Duchamp, Jean-Gabriel Luque, Karol A. Penson +1
Transitive factorizations of free partially commutative monoids and Lie algebras
Jean-Gabriel Luque, Gérard Henry Edmond Duchamp
Vector-Valued Jack Polynomials from Scratch
Charles F. Dunkl, Jean-Gabriel Luque
Extending the scalars of minimizations
Gérard Duchamp, Eric Laugerotte, Jean-Gabriel Luque
Algebraic invariants of five qubits
Jean-Gabriel Luque, Jean-Yves Thibon
Noncommutative Symmetric Functions Associated with a Code, Lazard Elimination, and Witt Vectors
Jean-Gabriel Luque, Jean-Yves Thibon
Hyperpfaffians
Ammar Aboud, Jean-Gabriel Luque
Hopf algebras of diagrams
Gerard Henry Edmond Duchamp, Jean-Gabriel Luque, Jean-Christophe Novelli +2
Hyperdeterminantal calculations of Selberg's and Aomoto's integrals
Jean-Gabriel Luque, J. -Y. Thibon
Hyperdeterminantal computation for the Laughlin wave function
Adrien Boussicault, Jean-Gabriel Luque, Christophe Tollu
Quantum circuits of c -- Z and SWAP gates optimization and entanglement
Marc Bataille, Jean-Gabriel Luque
Congruences Compatible with the Shuffle Product
Gérard Henry Edmond Duchamp, Jean-Gabriel Luque
Dirichlet convolution and enumeration of pyramid polycubes
Christophe Carré, Noemie Debroux, Matthieu Deneufchatel +4
Word symmetric functions and the Redfield-Pólya
Jean-Gabriel Luque, Ali Chouria, Jean-Paul Bultel +1
Period polynomials and Ihara brackets
Jean-Gabriel Luque, Jean-Christophe Novelli, Jean-Yves Thibon
Clustering properties of rectangular Macdonald polynomials
Charles F. Dunkl, Jean-Gabriel Luque
Some Combinatorial Operators in Language Theory
Jean-Gabriel Luque, Ludovic Mignot, Florent Nicart