We study the symmetric powers of four algebras: -oscillator algebra, -Weyl algebra, -Weyl algebra and . 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 = {D{\'\i}az, Rafael and Pariguan, Eddy}, 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}, zbl = {02205936}, mrnumber = {2109607}, language = {en}, url = {http://www.numdam.org/articles/10.5802/ambp.192/} }
TY - JOUR AU - Díaz, Rafael AU - Pariguan, Eddy TI - Symmetric quantum Weyl algebras JO - Annales mathématiques Blaise Pascal PY - 2004 SP - 187 EP - 203 VL - 11 IS - 2 PB - Annales mathématiques Blaise Pascal UR - http://www.numdam.org/articles/10.5802/ambp.192/ DO - 10.5802/ambp.192 LA - en ID - AMBP_2004__11_2_187_0 ER -
Díaz, Rafael; Pariguan, Eddy. Symmetric quantum Weyl algebras. Annales mathématiques Blaise Pascal, Volume 11 (2004) no. 2, pp. 187-203. doi : 10.5802/ambp.192. http://www.numdam.org/articles/10.5802/ambp.192/
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