Symmetric quantum Weyl algebras

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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.
To appear in the Annales Mathematiques Blaise Pascal

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Quantum Algebra, High Energy Physics - Theory, Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/98564

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0311128
 http://arxiv.org/abs/math/0311128
 Annales Mathematiques Blaise Pascal. Volume 11 (2004), 187-203

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