3 papers
math.RT2026
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…
math.RT2025
A remark on the Langlands correspondence for tori
Marcelo De Martino, Eric Opdam
For an algebraic torus defined over a local (or global) field , a celebrated result of R.P. Langlands establishes a natural homomorphism from the group of continuous cohomology…
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…