Vincent X. Genest

activity

20112017

most citedThe Dunkl oscillator in the plane II : representations of the symmetry algebra

106 citations · 956 across the 40 of their papers we have counts for

collaborators

Showing math.QAShow all

3 papers · 1 filter

math.QA2015★ 5 cited

The equitable presentation of $osp_{q} (1∣2)$ and a $q$ -analog of the Bannai-Ito algebra

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

The equitable presentation of the quantum superalgebra $osp_{q} (1∣2)$ , in which all generators appear on an equal footing, is exhibited. It is observed that in their equit…

math.QA2015★ 8 cited

The quantum superalgebra $osp_{q} (1∣2)$ and a $q$ -generalization of the Bannai-Ito polynomials

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

The Racah problem for the quantum superalgebra $osp_{q} (1∣2)$ is considered. The intermediate Casimir operators are shown to realize a $q$ -deformation of the Bannai-Ito…

math.QA2013★ 29 cited

A Laplace-Dunkl equation on $S^{2}$ and the Bannai-Ito algebra

Vincent X. Genest, Luc Vinet, Alexei Zhedanov

The analysis of the $Z_{2}^{3}$ Laplace-Dunkl equation on the $2$ -sphere is cast in the framework of the Racah problem for the Hopf algebra $s l_{- 1} (2)$ . The related Dunkl-L…

The equitable presentation of ospq​(1∣2) and a q-analog of the Bannai-Ito algebra

The quantum superalgebra ospq​(1∣2) and a q-generalization of the Bannai-Ito polynomials

A Laplace-Dunkl equation on S2 and the Bannai-Ito algebra

The equitable presentation of $osp_{q} (1∣2)$ and a $q$ -analog of the Bannai-Ito algebra

The quantum superalgebra $osp_{q} (1∣2)$ and a $q$ -generalization of the Bannai-Ito polynomials

A Laplace-Dunkl equation on $S^{2}$ and the Bannai-Ito algebra