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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…