5 citations · 8 across the 8 of their papers we have counts for
8 papers
Diagrammatics for lax and Frobenius monoidal functors and weak morphism classifiers
Alexis Langlois-Rémillard, Mateusz Stroiński
The theory of 2-monads entails that, for a strict monoidal category C, there is a strict monoidal category L(C) such that strict monoidal functors from L(C) are precisely the lax m…
The double dihedral Dunkl total angular momentum algebra
Marcelo De Martino, Alexis Langlois-Rémillard, Roy Oste
The Dunkl total angular momentum algebra (TAMA) is realised as the dual partner of the orthosymplectic Lie superalgebra containing the Dunkl deformation of the Dirac operator. In t…
Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors
Alexis Langlois-Rémillard, Alexi Morin-Duchesne
Affine and periodic Temperley-Lieb algebras are families of diagrammatic algebras that find diverse applications in mathematics and physics. These algebras are infinite dimensional…
The dihedral Dunkl--Dirac symmetry algebra with negative Clifford signature
Alexis Langlois-Rémillard
The Dunkl--Dirac symmetry algebra is an associative subalgebra of the tensor product of a Clifford algebra and the faithful polynomial representation of a rational Cherednik algebr…
Generalised symmetries and bases for Dunkl monogenics
Hendrik De Bie, Alexis Langlois-Rémillard, Roy Oste +1
We introduce a family of commuting generalised symmetries of the Dunkl--Dirac operator inspired by the Maxwell construction in harmonic analysis. We use these generalised symmetrie…
Deforming algebras with anti-involution via twisted associativity
Alexis Langlois-Rémillard
This contribution studies a specific deformation of algebras with anti-involution. Starting with the observation that twisting the multiplication of such an algebra by its anti-inv…
An exceptional symmetry algebra for the 3D Dirac-Dunkl operator
Alexis Langlois-Rémillard, Roy Oste
We initiate the study of an algebra of symmetries for the 3D Dirac-Dunkl operator associated with the Weyl group of the exceptional root system . For this symmetry algebra, we…
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…