Classifying spaces for commutativity of low-dimensional Lie groups

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Classifying spaces for commutativity of low-dimensional Lie groups. / Antolín-Camarena, Omar; Gritschacher, Simon Philipp; Villarreal, Bernardo.

I: Mathematical Proceedings of the Cambridge Philosophical Society, 01.01.2020.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Harvard

Antolín-Camarena, O, Gritschacher, SP & Villarreal, B 2020, 'Classifying spaces for commutativity of low-dimensional Lie groups', Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/S0305004119000240

APA

Antolín-Camarena, O., Gritschacher, S. P., & Villarreal, B. (Accepteret/In press). Classifying spaces for commutativity of low-dimensional Lie groups. Mathematical Proceedings of the Cambridge Philosophical Society. https://doi.org/10.1017/S0305004119000240

Vancouver

Antolín-Camarena O, Gritschacher SP, Villarreal B. Classifying spaces for commutativity of low-dimensional Lie groups. Mathematical Proceedings of the Cambridge Philosophical Society. 2020 jan 1. https://doi.org/10.1017/S0305004119000240

Author

Antolín-Camarena, Omar ; Gritschacher, Simon Philipp ; Villarreal, Bernardo. / Classifying spaces for commutativity of low-dimensional Lie groups. I: Mathematical Proceedings of the Cambridge Philosophical Society. 2020.

Bibtex

@article{cd8f13ec97b540b0a246cfd544603762,
title = "Classifying spaces for commutativity of low-dimensional Lie groups",
abstract = "For each of the groups G = O(2), SU(2), U(2), we compute the integral and-cohomology rings of BcomG (the classifying space for commutativity of G), the action of the Steenrod algebra on the mod 2 cohomology, the homotopy type of EcomG (the homotopy fiber of the inclusion BcomG → BG), and some low-dimensional homotopy groups of BcomG.",
keywords = "2010 Mathematics Subject Classification:, 22E99, Primary: 55R40, Secondary: 55R20",
author = "Omar Antol{\'i}n-Camarena and Gritschacher, {Simon Philipp} and Bernardo Villarreal",
year = "2020",
month = "1",
day = "1",
doi = "10.1017/S0305004119000240",
language = "English",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",

}

RIS

TY - JOUR

T1 - Classifying spaces for commutativity of low-dimensional Lie groups

AU - Antolín-Camarena, Omar

AU - Gritschacher, Simon Philipp

AU - Villarreal, Bernardo

PY - 2020/1/1

Y1 - 2020/1/1

N2 - For each of the groups G = O(2), SU(2), U(2), we compute the integral and-cohomology rings of BcomG (the classifying space for commutativity of G), the action of the Steenrod algebra on the mod 2 cohomology, the homotopy type of EcomG (the homotopy fiber of the inclusion BcomG → BG), and some low-dimensional homotopy groups of BcomG.

AB - For each of the groups G = O(2), SU(2), U(2), we compute the integral and-cohomology rings of BcomG (the classifying space for commutativity of G), the action of the Steenrod algebra on the mod 2 cohomology, the homotopy type of EcomG (the homotopy fiber of the inclusion BcomG → BG), and some low-dimensional homotopy groups of BcomG.

KW - 2010 Mathematics Subject Classification:

KW - 22E99

KW - Primary: 55R40

KW - Secondary: 55R20

U2 - 10.1017/S0305004119000240

DO - 10.1017/S0305004119000240

M3 - Journal article

AN - SCOPUS:85069217044

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

ER -

ID: 241485205