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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

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.

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