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Weight modules of quantized Weyl algebras (1812.02118v1)
Published 5 Dec 2018 in math.RT
Abstract: We develop a general framework for studying relative weight representations for certain pairs consisting of an associative algebra and a commutative subalgebra. Using these tools we describe projective and simple weight modules for quantum Weyl algebras for generic values of deformation parameters. We consider two quantum versions: one by Maltsiniotis and the other one by Akhavizadegan and Jordan.
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