Symmetric quantum Weyl algebras

Rafael Díaz; Eddy Pariguan

doi:10.5802/ambp.192

Symmetric quantum Weyl algebras

Research output: Contribution to journal › Article › peer-review

Abstract

We study the symmetric powers of four algebras: q-oscillator algebra, q-Weyl algebra, q-Weyl algebra and U(sl2). We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

Original language	English
Pages (from-to)	187-203
Journal	Annales mathématiques Blaise Pascal
Volume	11
Issue number	2
DOIs	https://doi.org/10.5802/ambp.192
State	Published - 2004
Externally published	Yes

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title = "Symmetric quantum Weyl algebras",

abstract = "We study the symmetric powers of four algebras: q-oscillator algebra, q-Weyl algebra, q-Weyl algebra and U(sl2). 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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language = "English",

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journal = "Annales math{\'e}matiques Blaise Pascal",

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JO - Annales mathématiques Blaise Pascal

JF - Annales mathématiques Blaise Pascal

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Symmetric quantum Weyl algebras

Abstract

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