3 papers
math.RT2025
On angular momentum algebras and their relations
Kieran Calvert, Marcelo De Martino, Roy Oste
In this paper, we study the centraliser of , denoted the total angular momentum algebra (TAMA), in the Weyl Clifford algebra. The TAMA extends the angular mome…
math.RT2020
Symplectic Dirac operators for Lie algebras and graded Hecke algebras
Dan Ciubotaru, Marcelo De Martino, Philippe Meyer
We define a pair of symplectic Dirac operators in an algebraic setting motivated by the analogy with the algebraic orthogonal Dirac operators in representation theory.…
math.RT2017
Dirac induction for rational Cherednik algebras
Dan Ciubotaru, Marcelo De Martino
We introduce the local and global indices of Dirac operators for the rational Cherednik algebra , where is a complex reflection group acting o…