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QUANTUM GROUPS, q-BOSON ALGEBRAS AND QUANTIZED WEYL ALGEBRAS

XIN FANG

Université Paris 7, Institut de Mathématiques de Jussieu, Théorie des groupes et des représentations, Case 7012, 2 place Jussieu, 75251 Paris Cedex 05, France

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https://doi.org/10.1142/S0129167X11006970Cited by:3 (Source: Crossref)

Abstract

We give a unified construction of quantum groups, q-boson algebras and quantized Weyl algebras and an action of quantum groups on quantized Weyl algebras. This enables us to give a conceptual proof of the semi-simplicity of the category introduced by Nakashima and the classification of all simple objects in it.

Keywords:

AMSC: 16T05, 81R50

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