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Symmetric quantum Weyl algebras

Rafael Díaz, Eddy Pariguan (2004)

Annales mathématiques Blaise Pascal

We study the symmetric powers of four algebras: q -oscillator algebra, q -Weyl algebra, h -Weyl algebra and U ( 𝔰𝔩 2 ) . We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

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