2 papers
math.CO2026
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…
math.CO2026
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…