[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 …
Supercentralizers for deformations of the Pin osp dual pair
R Oste - arXiv preprint arXiv:2110.15337, 2021 - arxiv.org
In recent work, we examined the algebraic structure underlying a class of elements
supercommuting with realization of the Lie superalgebra $\mathfrak {osp}(1| 2) $ inside a …
supercommuting with realization of the Lie superalgebra $\mathfrak {osp}(1| 2) $ inside a …
The double dihedral Dunkl total angular momentum algebra
The Dunkl deformation of the Dirac operator is part of a realisation of an orthosymplectic Lie
superalgebra inside the tensor product of a rational Cherednik algebra and a Clifford …
superalgebra inside the tensor product of a rational Cherednik algebra and a Clifford …
Closed-form solutions of the Dunkl–Klein–Gordon equation for two inverse power-law interactions
A Schulze-Halberg - Modern Physics Letters A, 2023 - World Scientific
In this paper, we consider two specific quantum systems governed by the one-dimensional
Klein–Gordon equation within the Dunkl formalism. Our systems are characterized by a …
Klein–Gordon equation within the Dunkl formalism. Our systems are characterized by a …
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 …