Automorphisms of p-compact groups and their root data
(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
- 2022-01-27 07:17:26
@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}}, }