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• W3099207841 startingPage "1905" @default.
• W3099207841 abstract "We consider a generalization of the classical Laplace operator, which includes the Laplace–Dunkl operator defined in terms of the differential-difference operators associated with finite reflection groups called Dunkl operators. For this Laplace-like operator, we determine a set of symmetries commuting with it, in the form of generalized angular momentum operators, and we present the algebraic relations for the symmetry algebra. In this context, the generalized Dirac operator is then defined as a square root of our Laplace-like operator. We explicitly determine a family of graded operators which commute or anticommute with our Dirac-like operator depending on their degree. The algebra generated by these symmetry operators is shown to be a generalization of the standard angular momentum algebra and the recently defined higher-rank Bannai–Ito algebra." @default.
• W3099207841 created "2020-11-23" @default.
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• W3099207841 date "2018-02-19" @default.
• W3099207841 modified "2023-09-23" @default.
• W3099207841 title "On the algebra of symmetries of Laplace and Dirac operators" @default.
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• W3099207841 doi "https://doi.org/10.1007/s11005-018-1065-0" @default.
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