Classification of problematic subgroups of U(n)

Julia E. Bergner; Ruth Joachimi; Kathryn Lesh; Vesna Stojanoska; Kirsten Wickelgren

doi:10.1090/tran/7442

Classification of problematic subgroups of U(n)

Julia E. Bergner, Ruth Joachimi, Kathryn Lesh, Vesna Stojanoska, Kirsten Wickelgren

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Let L_n denote the topological poset of decompositions of 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 L_n.

Original language	English (US)
Pages (from-to)	6739-6777
Number of pages	39
Journal	Transactions of the American Mathematical Society
Volume	371
Issue number	10
DOIs	https://doi.org/10.1090/tran/7442
State	Published - 2019

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Online availability

10.1090/tran/7442

Library availability

Discover UIUC Full Text

Cite this

@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 = "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",

}

TY - JOUR

T1 - Classification of problematic subgroups of U(n)

AU - Bergner, Julia E.

AU - Joachimi, Ruth

AU - Lesh, Kathryn

AU - Stojanoska, Vesna

AU - Wickelgren, Kirsten

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85067621183&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85067621183&partnerID=8YFLogxK

U2 - 10.1090/tran/7442

DO - 10.1090/tran/7442

M3 - Article

AN - SCOPUS:85067621183

SN - 0002-9947

VL - 371

SP - 6739

EP - 6777

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 10

ER -

Classification of problematic subgroups of U(n)

Abstract

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this