Classification of problematic subgroups of $\boldsymbol {U(n)}$
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- by Julia E. Bergner, Ruth Joachimi, Kathryn Lesh, Vesna Stojanoska and Kirsten Wickelgren PDF
- Trans. Amer. Math. Soc. 371 (2019), 6739-6777 Request permission
Abstract:
Let $\mathcal {L}_n$ denote the topological poset of decompositions of $\mathbb {C}^n$ 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 $\mathcal {L}_n$.References
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Additional Information
- Julia E. Bergner
- Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia
- MR Author ID: 794441
- Email: bergnerj@member.ams.org
- Ruth Joachimi
- Affiliation: Department of Mathematics and Informatics, University of Wuppertal, Wuppertal, Germany
- Email: joachimi@math.uni-wuppertal.de
- Kathryn Lesh
- Affiliation: Department of Mathematics, Union College, Schenectady, New York
- MR Author ID: 304539
- Email: leshk@union.edu
- Vesna Stojanoska
- Affiliation: Department of Mathematics, University of Illinois at Urbana–Champaign, Urbana, Illinois
- MR Author ID: 857759
- Email: vesna@illinois.edu
- Kirsten Wickelgren
- Affiliation: School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia
- MR Author ID: 776836
- Email: kwickelgren3@math.gatech.edu
- Received by editor(s): September 4, 2014
- Received by editor(s) in revised form: February 2, 2017, and August 25, 2017
- Published electronically: February 20, 2019
- Additional Notes: 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. - © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 371 (2019), 6739-6777
- MSC (2010): Primary 55N91; Secondary 55P65, 55R45
- DOI: https://doi.org/10.1090/tran/7442
- MathSciNet review: 3939560