[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 …
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 …
[HTML][HTML] A vanishing theorem for Dirac cohomology of standard modules
KY Chan - Advances in Mathematics, 2018 - Elsevier
This paper studies the Dirac cohomology of standard modules in the setting of graded
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …
Hecke algebras with geometric parameters. We prove that the Dirac cohomology of a …