Weight modules of quantized Weyl algebras
Representation Theory
2018-12-06 v1
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.
Cite
@article{arxiv.1812.02118,
title = {Weight modules of quantized Weyl algebras},
author = {Vyacheslav Futorny and Laurent Rigal and Andrea Solotar},
journal= {arXiv preprint arXiv:1812.02118},
year = {2018}
}