A higher rank Racah algebra and the Z(2)(n) Laplace–Dunkl operator
 Author
 Hendrik De Bie (UGent) , Vincent X Genest, Wouter van de Vijver (UGent) and Luc Vinet
 Organization
 Abstract
 A higher rank generalization of the (rank one) Racah algebra is obtained as the symmetry algebra of the Laplace–Dunkl operator associated to the $\mathbb{Z}_2^n$ root system. This algebra is also the invariance algebra of the generic superintegrable model on the nsphere. Bases of Dunkl harmonics are constructed explicitly using a Cauchy–Kovalevskaia theorem. These bases consist of joint eigenfunctions of labelling Abelian subalgebras of the higher rank Racah algebra. A method to obtain expressions for both the connection coefficients between these bases and the action of the symmetries on these bases is presented.
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Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU8551474
 Chicago
 De Bie, Hendrik, Vincent X Genest, Wouter van de Vijver, and Luc Vinet. 2018. “A Higher Rank Racah Algebra and the Z(2)(n) Laplace–Dunkl Operator.” Journal of Physics Amathematical and Theoretical 51 (2).
 APA
 De Bie, H., Genest, V. X., van de Vijver, W., & Vinet, L. (2018). A higher rank Racah algebra and the Z(2)(n) Laplace–Dunkl operator. JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL , 51(2).
 Vancouver
 1.De Bie H, Genest VX, van de Vijver W, Vinet L. A higher rank Racah algebra and the Z(2)(n) Laplace–Dunkl operator. JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL . TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND: IOP Publishing; 2018;51(2).
 MLA
 De Bie, Hendrik et al. “A Higher Rank Racah Algebra and the Z(2)(n) Laplace–Dunkl Operator.” JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL 51.2 (2018): n. pag. Print.
@article{8551474, abstract = {A higher rank generalization of the (rank one) Racah algebra is obtained as the symmetry algebra of the LaplaceDunkl operator associated to the \${\textbackslash}mathbb\{Z\}\_2\^{ }n\$ root system. This algebra is also the invariance algebra of the generic superintegrable model on the nsphere. Bases of Dunkl harmonics are constructed explicitly using a CauchyKovalevskaia theorem. These bases consist of joint eigenfunctions of labelling Abelian subalgebras of the higher rank Racah algebra. A method to obtain expressions for both the connection coefficients between these bases and the action of the symmetries on these bases is presented.}, articleno = {025203}, author = {De Bie, Hendrik and Genest, Vincent X and van de Vijver, Wouter and Vinet, Luc}, issn = {17518113}, journal = {JOURNAL OF PHYSICS AMATHEMATICAL AND THEORETICAL }, language = {eng}, number = {2}, pages = {20}, publisher = {IOP Publishing}, title = {A higher rank Racah algebra and the Z(2)(n) LaplaceDunkl operator}, url = {http://dx.doi.org/10.1088/17518121/aa9756}, volume = {51}, year = {2018}, }
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