Symmetric quantum Weyl algebras
Annales Mathématiques Blaise Pascal, Tome 11 (2004) no. 2, pp. 187-203.

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

@article{AMBP_2004__11_2_187_0,
author = {Rafael D{\'\i}az and Eddy Pariguan},
title = {Symmetric quantum Weyl algebras},
journal = {Annales Math\'ematiques Blaise Pascal},
pages = {187--203},
publisher = {Annales math\'ematiques Blaise Pascal},
volume = {11},
number = {2},
year = {2004},
doi = {10.5802/ambp.192},
mrnumber = {2109607},
zbl = {02205936},
language = {en},
url = {https://ambp.centre-mersenne.org/articles/10.5802/ambp.192/}
}
Rafael Díaz; Eddy Pariguan. Symmetric quantum Weyl algebras. Annales Mathématiques Blaise Pascal, Tome 11 (2004) no. 2, pp. 187-203. doi : 10.5802/ambp.192. https://ambp.centre-mersenne.org/articles/10.5802/ambp.192/

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