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3 papers
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…
Diagrammatics for lax and Frobenius monoidal functors and weak morphism classifiers
Alexis Langlois-Rémillard, Mateusz StroiÅski
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…