22 citations · 219 across the 23 of their papers we have counts for
13 papers · 1 filter
Fusion hierarchies, -systems and -systems for the dilute loop models on a strip
Florence Boileau, Alexi Morin-Duchesne, Yvan Saint-Aubin
We study the dilute loop models on the geometry of a strip of width . Two families of boundary conditions are known to satisfy the boundary Yang-Baxter equation. Fix…
The representation theory of seam algebras
Alexis Langlois-Rémillard, Yvan Saint-Aubin
The boundary seam algebras were introduced by Morin-Duchesne, Ridout and Rasmussen to formulate algebraically a large class of boundary conditions fo…
On the computation of fusion over the affine Temperley-Lieb algebra
Jonathan Belletête, Yvan Saint-Aubin
Fusion product originates in the algebraisation of the operator product expansion in conformal field theory. Read and Saleur (2007) introduced an analogue of fusion for modules ove…
Fusion and monodromy in the Temperley-Lieb category
Jonathan Belletête, Yvan Saint-Aubin
Graham and Lehrer (1998) introduced a Temperley-Lieb category whose objects are the non-negative integers and the morphisms in are the…
Restriction and induction of indecomposable modules over the Temperley-Lieb algebras
Jonathan Belletête, David Ridout, Yvan Saint-Aubin
Both the original Temperley-Lieb algebras and their dilute counterparts form families of filtered algebras: $\mathsf{TL}_{n}\subset \mathsf{TL}…
On the reality of spectra of -invariant XXZ Hamiltonians
Alexi Morin-Duchesne, Jorgen Rasmussen, Philippe Ruelle +1
A new inner product is constructed on each standard module over the Temperley-Lieb algebra for and . On these modules, the Hamiltonian…