Homotopy representations of simply connected p-compact groups of rank 1 or 2

Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning

Standard

Homotopy representations of simply connected p-compact groups of rank 1 or 2. / Nørgård-Sørensen, Toke.

Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2013. 45 s.

Publikation: Bog/antologi/afhandling/rapport › Ph.d.-afhandling › Forskning

Harvard

Nørgård-Sørensen, T 2013, Homotopy representations of simply connected p-compact groups of rank 1 or 2. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen. <https://www.math.ku.dk/english/research/top/paststudents/Norgaard-Sorensen.Thesis.pdf/>

APA

Nørgård-Sørensen, T. (2013). Homotopy representations of simply connected p-compact groups of rank 1 or 2. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen. https://www.math.ku.dk/english/research/top/paststudents/Norgaard-Sorensen.Thesis.pdf/

Vancouver

Nørgård-Sørensen T. Homotopy representations of simply connected p-compact groups of rank 1 or 2. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2013. 45 s.

Author

Nørgård-Sørensen, Toke. / Homotopy representations of simply connected p-compact groups of rank 1 or 2. Department of Mathematical Sciences, Faculty of Science, University of Copenhagen, 2013. 45 s.

Bibtex

@phdthesis{ff8245acd27c4fecb9d4f2c07a30abfd,
title = "Homotopy representations of simply connected p-compact groups of rank 1 or 2",
abstract = "In this thesis we show that the restriction map Rp(X) -> Rp(T)W is an isomorphism for all simply connected p-compact groups of rank at most 2. Here T is a maximal torus of X with Weyl group W, Rp(X) is the complex homotopy representation ring of X and Rp(T)W is the invariants under W of the representation ring of T.",
author = "Toke N{\o}rg{\aa}rd-S{\o}rensen",
year = "2013",
language = "English",
publisher = "Department of Mathematical Sciences, Faculty of Science, University of Copenhagen",

}

RIS

TY - BOOK

T1 - Homotopy representations of simply connected p-compact groups of rank 1 or 2

AU - Nørgård-Sørensen, Toke

PY - 2013

Y1 - 2013

N2 - In this thesis we show that the restriction map Rp(X) -> Rp(T)W is an isomorphism for all simply connected p-compact groups of rank at most 2. Here T is a maximal torus of X with Weyl group W, Rp(X) is the complex homotopy representation ring of X and Rp(T)W is the invariants under W of the representation ring of T.

AB - In this thesis we show that the restriction map Rp(X) -> Rp(T)W is an isomorphism for all simply connected p-compact groups of rank at most 2. Here T is a maximal torus of X with Weyl group W, Rp(X) is the complex homotopy representation ring of X and Rp(T)W is the invariants under W of the representation ring of T.

UR - https://soeg.kb.dk/permalink/45KBDK_KGL/fbp0ps/alma99122251549405763

M3 - Ph.D. thesis

BT - Homotopy representations of simply connected p-compact groups of rank 1 or 2

PB - Department of Mathematical Sciences, Faculty of Science, University of Copenhagen

ER -

ID: 97019313