Simple weight modules over the quantum Schr\"{o}dinger algebra
Representation Theory
2017-04-06 v1 Quantum Algebra
Abstract
In the present paper, using the technique of localization, we determine the center of the quantum Schr\"{o}dinger algebra and classify simple modules with finite-dimensional weight spaces over , when is not a root of unity. It turns out that there are four classes of such modules: dense -modules, highest weight modules, lowest weight modules, and twisted modules of highest weight modules.
Cite
@article{arxiv.1704.01393,
title = {Simple weight modules over the quantum Schr\"{o}dinger algebra},
author = {Yan-an Cai and Yongsheng Cheng and Genqiang Liu},
journal= {arXiv preprint arXiv:1704.01393},
year = {2017}
}