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- W4362598688 abstract "Using the representation theory of sl(2) and an appropriate model for tensor product of lowest weight Verma modules, we give a realisation first of the Hahn algebra, and then of the Racah algebra, using Jacobi differential operators. While doing so we recover some known convolution formulas for Jacobi polynomials involving Hahn and Racah polynomials. Similarly, we produce realisations of the higher rank Racah algebras in which maximal commutative subalgebras are realised in terms of Jacobi differential operators." @default.
- W4362598688 created "2023-04-06" @default.
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- W4362598688 date "2023-04-03" @default.
- W4362598688 modified "2023-10-01" @default.
- W4362598688 title "Realisations of Racah algebras using Jacobi operators and convolution identities" @default.
- W4362598688 doi "https://doi.org/10.48550/arxiv.2304.00820" @default.
- W4362598688 hasPublicationYear "2023" @default.
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