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Quantum Weyl algebras

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arxiv hep-th/9310196 v1 pith:6IOPOYDE submitted 1993-10-30 hep-th math.QA

classification hep-thmath.QA
keywords heckesomeweylalgebraalgebrasaspectsdeformationsformal
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abstract

For any Hecke symmetry $R$ there is a natural quantization $A_n(R)$ of the Weyl algebra $A_n$. The aim of this paper is to study some general ring-theoretic aspects of $A_n(R)$ and its relations to formal deformations of $A_n$. We also obtain further information on those quantizations obtained from some well-known Hecke symmetries.

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