11 citations · 23 across the 8 of their papers we have counts for
8 papers
Hunting The Poles in the Staircases
Christophe Carré, Ulysse Goncalves, Jean-Gabriel Luque
Motivated by applications to the fractional quantum Hall effect and, in particular, to the Bernevig-Haldane conjectures, we investigates the behavior of Macdonald polynomials under…
Hopf Algebras of B-Diagrams and Boson Normal Ordering: Exploring the Dual Structures
Ali Chouria, Jean-Gabriel Luque
We consider the Hopf algebra of B-diagrams as an algebra projecting onto the Heisenberg algebra and designed to encode the combinatorics of the bosonic normal-ordering problem. In…
About enveloping algebras of direct sums
Gérard Henry Edmond Duchamp, Christophe Tollu, Jean-Gabriel Luque +1
We solve the PBW-like problem of normal ordering for enveloping algebras of direct sums.
Vector valued Macdonald polynomials
C. F. Dunkl, J. -G. Luque
This paper defines and investigates nonsymmetric Macdonald polynomials with values in an irreducible module of the Hecke algebra of type . These polynomials appear as simu…
Vector-Valued Jack Polynomials from Scratch
Charles F. Dunkl, Jean-Gabriel Luque
Vector-valued Jack polynomials associated to the symmetric group are polynomials with multiplicities in an irreducible module of and which are s…
Hyperdeterminantal computation for the Laughlin wave function
Adrien Boussicault, Jean-Gabriel Luque, Christophe Tollu
The decomposition of the Laughlin wave function in the Slater orthogonal basis appears in the discussion on the second-quantized form of the Laughlin states and is straightforwardl…