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Simple Modules and Azumaya Loci over the PI quantized Weyl Algebras

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arxiv 2310.04048 v1 pith:FO574WKB submitted 2023-10-06 math.RT

classification math.RT
keywords algebrasazumayabeenmodulessimpleweylarticlecenter
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In this article, both versions of multiparameter quantum Weyl algebras have been studied at the roots of unity. The center, PI degree, maximal-dimensional simple modules, and Azumaya locus have been explicitly computed for such algebras.

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