[HTML][HTML] The centre of the Dunkl total angular momentum algebra
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 parameters t≠ 0 and c …
rational Cherednik algebra H t, c (V, W) associated with (V, W) at the parameters t≠ 0 and c …
Dirac operators for the Dunkl angular momentum algebra
K Calvert, M De Martino - SIGMA. Symmetry, Integrability and Geometry …, 2022 - emis.de
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 …
on certain central elements of the group algebra of the Pin cover of the Weyl group inherent …
Two families of Dirac-like operators for Drinfeld's Hecke algebra
K Calvert - arXiv preprint arXiv:2212.12451, 2022 - arxiv.org
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. The …
One generalisation, Parthasarathy operators inherit the notion of the Dirac inequality. The …