2 papers
math.QA2024
On the Quantum Metaplectic Howe Duality
Matheus Brito, Marcelo De Martino
We establish a quantum analogue of the classical metaplectic Howe duality involving the pair of Lie algebras in the case when . Our resu…
math.RT2023
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…