Automorphisms of p-compact groups and their root data
Andersen, Kasper LU
and Grodal, Jesper
(2008)
In Geometry and Topology
12(3).
p.1427-1460
- Abstract
- We construct a model for the space of automorphisms of a connected
p-compact group in terms of the space of automorphisms of its maximal torus normalizer and its root datum. As a consequence we show that any homomorphism to the outer automorphism group of a p–compact group can be lifted to a group action, analogous to a classical theorem of de Siebenthal for compact Lie groups. The model of this paper is used in a crucial way in our paper [2], where we prove the conjectured classification of 2–compact groups and determine their automorphism spaces.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3412532
- author
- Andersen, Kasper
LU
and Grodal, Jesper
- publishing date
- 2008
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Geometry and Topology
- volume
- 12
- issue
- 3
- pages
- 1427 - 1460
- publisher
- Mathematical Sciences Publishers
- external identifiers
-
- scopus:74249096781
- ISSN
- 1364-0380
- DOI
- 10.2140/gt.2008.12.1427
- language
- English
- LU publication?
- no
- id
- d620bb09-aab1-4c39-bd2c-0e0bfee6cdec (old id 3412532)
- date added to LUP
- 2016-04-01 12:36:05
- date last changed
- 2025-10-14 13:03:50
@article{d620bb09-aab1-4c39-bd2c-0e0bfee6cdec,
abstract = {{We construct a model for the space of automorphisms of a connected<br/><br>
p-compact group in terms of the space of automorphisms of its maximal torus normalizer and its root datum. As a consequence we show that any homomorphism to the outer automorphism group of a p–compact group can be lifted to a group action, analogous to a classical theorem of de Siebenthal for compact Lie groups. The model of this paper is used in a crucial way in our paper [2], where we prove the conjectured classification of 2–compact groups and determine their automorphism spaces.}},
author = {{Andersen, Kasper and Grodal, Jesper}},
issn = {{1364-0380}},
language = {{eng}},
number = {{3}},
pages = {{1427--1460}},
publisher = {{Mathematical Sciences Publishers}},
series = {{Geometry and Topology}},
title = {{Automorphisms of p-compact groups and their root data}},
url = {{http://dx.doi.org/10.2140/gt.2008.12.1427}},
doi = {{10.2140/gt.2008.12.1427}},
volume = {{12}},
year = {{2008}},
}