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

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://rex.kb.dk/primo-explore/fulldisplay?docid=KGL01009116672&context=L&vid=NUI&search_scope=KGL&tab=default_tab&lang=da_DK

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 -