Integrable bounded weight modules of classical Lie superalgebras at infinity
Representation Theory
2022-04-20 v2
Abstract
We classify integrable bounded simple weight modules over classical Lie superalgebras at infinity. We also study the categories of such modules, and we prove that for most of the classical Lie superalgebras at infinity the respective category is semisimple.
Keywords
Cite
@article{arxiv.2007.03806,
title = {Integrable bounded weight modules of classical Lie superalgebras at infinity},
author = {Lucas Calixto and Ivan Penkov},
journal= {arXiv preprint arXiv:2007.03806},
year = {2022}
}
Comments
minor corrections regarding the sl(\infty|1) case in Lemma 5.5 and Theorem 5.9