On the Balmer spectrum for compact Lie groups

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Standard

On the Balmer spectrum for compact Lie groups. / Barthel, Tobias; Greenlees, John; Hausmann, Markus.

I: Compositio Mathematica, Bind 156, Nr. 1, 2020, s. 39-76 .

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Harvard

Barthel, T, Greenlees, J & Hausmann, M 2020, 'On the Balmer spectrum for compact Lie groups', Compositio Mathematica, bind 156, nr. 1, s. 39-76 . https://doi.org/10.1112/S0010437X19007656

APA

Barthel, T., Greenlees, J., & Hausmann, M. (2020). On the Balmer spectrum for compact Lie groups. Compositio Mathematica, 156(1), 39-76 . https://doi.org/10.1112/S0010437X19007656

Vancouver

Barthel T, Greenlees J, Hausmann M. On the Balmer spectrum for compact Lie groups. Compositio Mathematica. 2020;156(1):39-76 . https://doi.org/10.1112/S0010437X19007656

Author

Barthel, Tobias ; Greenlees, John ; Hausmann, Markus. / On the Balmer spectrum for compact Lie groups. I: Compositio Mathematica. 2020 ; Bind 156, Nr. 1. s. 39-76 .

Bibtex

@article{b929b062a465426890f8a2d258d729c4,
title = "On the Balmer spectrum for compact Lie groups",
abstract = "We study the Balmer spectrum of the category of finite G-spectra for a compact Lie group G, extending the work for finite G by Strickland, Balmer-Sanders, Barthel-Hausmann-Naumann-Nikolaus-Noel-Stapleton and others. We give a description of the underlying set of the spectrum and show that the Balmer topology is completely determined by the inclusions between the prime ideals and the topology on the space of closed subgroups of G. Using this, we obtain a complete description of this topology for all abelian compact Lie groups and consequently a complete classification of thick tensor-ideals. For general compact Lie groups we obtain such a classification away from a finite set of primes p.",
author = "Tobias Barthel and John Greenlees and Markus Hausmann",
year = "2020",
doi = "10.1112/S0010437X19007656",
language = "English",
volume = "156",
pages = "39--76 ",
journal = "Compositio Mathematica",
issn = "0010-437X",
publisher = "Cambridge University Press",
number = "1",

}

RIS

TY - JOUR

T1 - On the Balmer spectrum for compact Lie groups

AU - Barthel, Tobias

AU - Greenlees, John

AU - Hausmann, Markus

PY - 2020

Y1 - 2020

N2 - We study the Balmer spectrum of the category of finite G-spectra for a compact Lie group G, extending the work for finite G by Strickland, Balmer-Sanders, Barthel-Hausmann-Naumann-Nikolaus-Noel-Stapleton and others. We give a description of the underlying set of the spectrum and show that the Balmer topology is completely determined by the inclusions between the prime ideals and the topology on the space of closed subgroups of G. Using this, we obtain a complete description of this topology for all abelian compact Lie groups and consequently a complete classification of thick tensor-ideals. For general compact Lie groups we obtain such a classification away from a finite set of primes p.

AB - We study the Balmer spectrum of the category of finite G-spectra for a compact Lie group G, extending the work for finite G by Strickland, Balmer-Sanders, Barthel-Hausmann-Naumann-Nikolaus-Noel-Stapleton and others. We give a description of the underlying set of the spectrum and show that the Balmer topology is completely determined by the inclusions between the prime ideals and the topology on the space of closed subgroups of G. Using this, we obtain a complete description of this topology for all abelian compact Lie groups and consequently a complete classification of thick tensor-ideals. For general compact Lie groups we obtain such a classification away from a finite set of primes p.

U2 - 10.1112/S0010437X19007656

DO - 10.1112/S0010437X19007656

M3 - Journal article

VL - 156

SP - 39

EP - 76

JO - Compositio Mathematica

JF - Compositio Mathematica

SN - 0010-437X

IS - 1

ER -

ID: 211219271