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Displaying similar documents to “Harmonic analysis on quantum spheres associated with representations of U q ( 𝔰𝔬 N ) and q -jacobi polynomials”

A U q s l 2 -representation with no quantum symmetric algebra

Olivia Rossi-Doria (1999)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We show by explicit calculations in the particular case of the 4-dimensional irreducible representation of U q s l 2 that it is not always possible to generalize to the quantum case the notion of symmetric algebra of a Lie algebra representation.