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arXiv · 1812.02118

Weight modules of quantized Weyl algebras

Vyacheslav Futorny·Laurent Rigal·Andrea Solotar
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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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BibTeXRIS

Vyacheslav Futorny, Laurent Rigal, Andrea Solotar. 2018-12-05. Weight modules of quantized Weyl algebras. https://arxiv.org/abs/1812.02118

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