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math.RT2022
Two families of Dirac-like operators for Drinfeld's Hecke algebra
Kieran Calvert
In this paper, we define two generalisations of Dirac operators for Drinfeld's Hecke algebra. One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality…
math.RT2022
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…