@article{3077a16afdbe47bdbdc998d9e628e78b,
title = "Some characterizations of the Weil representations of the symplectic and unitary groups",
abstract = "LetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia their restriction to a standard subgroup. Then we complete the determination of complex representations ofGwith specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.",
author = "Tiep, {Pham Huu} and Zalesskii, {Alexander E.}",
note = "Funding Information: Part of this work has been done in the framework of the collaboration between the Institute for Experimental Mathematics, University of Essen, and the Institute of Mathematics, Academy of Sciences of Belarus. The authors are grateful to Prof. Dr. G. O. Michler and his colleagues at the Institute for Experimental Mathematics for stimulating conversations and their generous hospitality. The first author was supported in part by the Alexander von Humboldt Foundation. The second author acknowledges the financial support of the Volkswagen Foundation.",
year = "1997",
month = jun,
day = "1",
doi = "10.1006/jabr.1996.6943",
language = "English (US)",
volume = "192",
pages = "130--165",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Academic Press Inc.",
number = "1",
}