Annales Mathématiques
Blaise Pascal
no. 2
Symmetric quantum Weyl algebras
Rafael Díaz1; Eddy Pariguan2
1 Instituto Venezolano de Inves- tigaciones Científicas Departamento de Matemáticas Altos de Pipe. Caracas 21827 Venezuela
2 Universidad Central de Venezue- la Departamento de Matemáticas Los Chaguaramos Caracas 1020 Venezuela
Annales mathématiques Blaise Pascal, Volume 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(𝔰𝔩 2 ). We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

DOI: 10.5802/ambp.192
Rafael Díaz 1; Eddy Pariguan 2

1 Instituto Venezolano de Inves- tigaciones Científicas Departamento de Matemáticas Altos de Pipe. Caracas 21827 Venezuela
2 Universidad Central de Venezue- la Departamento de Matemáticas Los Chaguaramos Caracas 1020 Venezuela 
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Rafael Díaz; Eddy Pariguan. Symmetric quantum Weyl algebras. Annales mathématiques Blaise Pascal, Volume 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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