3 citations · 6 across the 7 of their papers we have counts for
7 papers
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…
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…
The centre of the Dunkl total angular momentum algebra
Kieran Calvert, Marcelo De Martino, Roy Oste
For a finite dimensional representation of a finite reflection group , we consider the rational Cherednik algebra associated with at the para…
Residue distributions, iterated residues, and the spherical automorphic spectrum
Marcelo De Martino, Volker Heiermann, Eric Opdam
Let be a split reductive group over a number field . We consider the computation of the inner product of two -spherical pseudo Eisenstein series of supported in $[T,\…
Dirac Operators for the Dunkl Angular Momentum Algebra
Kieran Calvert, Marcelo De Martino
We define a family of Dirac operators for the Dunkl angular momentum algebra depending on certain central elements of the group algebra of the Pin cover of the Weyl group inherent…
Deformations of unitary Howe dual pairs
Dan Ciubotaru, Hendrik De Bie, Marcelo De Martino +1
We study deformations of the Howe dual pairs and to the context of a rational Cherednik algebra $H_{1,c}(G,E…
On the unramified spherical automorphic spectrum
Marcelo De Martino, Volker Heiermann, Eric Opdam
For an unramified connected reductive group defined over a number field , consider the part of the spherical automorphic spectrum with cuspidal support ,…