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Symmetric quantum Weyl algebras

Rafael Diaz·Eddy Pariguan
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Abstract

We study the symmetric powers of four algebras: $q$-oscillator algebra, $q$-Weyl algebra, $h$-Weyl algebra and $U({\mathfrak {sl}}_2)$. 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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Rafael Diaz, Eddy Pariguan. 2004-06-11. Symmetric quantum Weyl algebras. https://arxiv.org/abs/math/0311128

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