Marcelo De Martino

collaborators

3 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 $(sp_{2 n}, sl_{2})$ in the case when $n = 1$ . Our resu…

math.RT2022

The centre of the Dunkl total angular momentum algebra

Kieran Calvert, Marcelo De Martino, Roy Oste

For a finite dimensional representation $V$ of a finite reflection group $W$ , we consider the rational Cherednik algebra $H_{t, c} (V, W)$ associated with $(V, W)$ at the para…

math.RT2022

Residue distributions, iterated residues, and the spherical automorphic spectrum

Marcelo De Martino, Volker Heiermann, Eric Opdam

Let $G$ be a split reductive group over a number field $F$ . We consider the computation of the inner product of two $K$ -spherical pseudo Eisenstein series of $G$ supported in $[T,\…