@article{e0338d3238224920af08133d682f93bb,
title = "Simple bounded highest weight modules of basic classical Lie superalgebras",
abstract = "We classify all simple bounded highest weight modules of a basic classical Lie superalgebra g. In particular, our result leads to the classification of the simple weight modules with finite weight multiplicities over all classical Lie superalgebras. We also obtain some character formulas of strongly typical bounded highest weight modules of g.",
author = "Maria Gorelik and Dimitar Grantcharov",
note = "We are grateful to A. Joseph, I. Penkov, and V. Serganova for the helpful discussions and the referees for the useful remarks and suggestions. We also acknowledge the hospitality and excellent working conditions at the Weizmann Institute of Science and the University of Texas at Arlington where parts of this work were completed. Maria Gorelik is supported in part by the Minerva foundation with funding from the Federal German Ministry for Education and Research. Dimitar Grantcharov is supported in part by Simons Collaboration Grant 358245.",
year = "2021",
month = sep,
doi = "https://doi.org/10.1007/s00031-020-09616-x",
language = "الإنجليزيّة",
volume = "26",
pages = "893--914",
journal = "Transformation Groups",
issn = "1083-4362",
publisher = "Birkhauser Boston",
number = "3",
}