Timeline for Automorphism group of simple lie type group
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 11, 2014 at 0:43 | comment | added | Jim Humphreys | P.S. Centralizers of inner automorphisms are also studied to some extent in case-by-case fashion, while using some general theory. See for instance the recent Liebeck-Seitz book and references there. | |
| Jan 10, 2014 at 21:37 | comment | added | Jim Humphreys | As Nick points out, there is detailed case-by-case information in the literature (such as GLS) on outer automorphisms. For a simple group of Lie type, the group itself forms a large normal subgroup of the full automorphism group, where your question about centralizers is posed. I suspect there is no unified way to answer this. | |
| S Jan 10, 2014 at 18:37 | history | suggested | Hamid | CC BY-SA 3.0 |
lie group change to lie type
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| Jan 10, 2014 at 18:28 | review | Suggested edits | |||
| S Jan 10, 2014 at 18:37 | |||||
| Jan 10, 2014 at 14:59 | comment | added | Nick Gill | The 'inner', 'diagonal', 'field' etc suggest this is a question about groups of Lie type. I would suggest you go to vol 3 of Gorenstein, Lyons and Solomon's rewriting of the classification, who classify centralizers of all involutions. I don't know of any source that classifies every centralizer explicitly, but Carter's books might help. | |
| Jan 10, 2014 at 14:58 | review | First posts | |||
| Jan 10, 2014 at 15:12 | |||||
| Jan 10, 2014 at 14:56 | comment | added | YCor | You say "Lie group" in the title and "Lie type group" in the question, the latter usually refers to finite groups. Could you clarify? | |
| Jan 10, 2014 at 14:42 | history | asked | maryam | CC BY-SA 3.0 |