@article{7930f6cc7a2f45949a704a88a91b8070,
title = "Classification of problematic subgroups of U(n)",
abstract = "Let Ln denote the topological poset of decompositions of ℂn into mutually orthogonal subspaces. We classify p-toral subgroups of U(n) that can have noncontractible fixed points under the action of U(n) on Ln.",
author = "Bergner, {Julia E.} and Ruth Joachimi and Kathryn Lesh and Vesna Stojanoska and Kirsten Wickelgren",
note = "Funding Information: Received by the editors September 4, 2014, and, in revised form, February 2, 2017, and August 25, 2017. 2010 Mathematics Subject Classification. Primary 55N91; Secondary 55P65, 55R45. The first author received partial support from NSF grants DMS-1105766 and DMS-1352298. Some of this work was done while she was in residence at MSRI during the Spring 2014 semester, supported by NSF grant 0932078 000. The second author was partially supported by DFG grant HO 4729/1-1. The third author received partial support from NSF grant DMS-0968251. The fourth author received partial support from NSF grants DMS-1307390 and DMS-160647. Some of this work was done while she was in residence at MSRI during the Spring 2014 semester, supported by NSF grant 0932078 000. The fifth author was partially supported by an AIM five-year fellowship and by NSF grants DMS-1406380 and DMS-1552730. Some of this work was done while she was in residence at MSRI during the Spring 2014 semester, supported by NSF grant 0932078 000. The authors thank the Banff International Research Station and the Clay Mathematics Institute for the financial support. Publisher Copyright: {\textcopyright} 2019 American Mathematical Society.",
year = "2019",
doi = "10.1090/tran/7442",
language = "English (US)",
volume = "371",
pages = "6739--6777",
journal = "Transactions of the American Mathematical Society",
issn = "0002-9947",
publisher = "American Mathematical Society",
number = "10",
}