Timeline for representation theory and finite order automorphisms
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
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| Mar 31, 2011 at 12:39 | comment | added | Jim Humphreys |
As Mariano points out, the work of Kac starts with an outer (graph) automorphism of order at most 3 and the fixed point subalgebra. The "inner" automorphisms given by the adjoint group action are more varied and don't involve these types of gradings. Aside from that, to ask for reducibility of all irreducible modules is asking for too much even when $g_0$ is a proper subalgebra. At some point you have to look at the details of each type $A, D, E_6$ (with rank at least 2).
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| Mar 31, 2011 at 7:57 | history | edited | Bruce Westbury | CC BY-SA 2.5 |
made question clearer
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| Mar 30, 2011 at 13:59 | comment | added | Angelo | @Mariano I am sorry, I didn't understand your question. Can you redo it? Thanks, | |
| Mar 30, 2011 at 6:19 | answer | added | Bruce Westbury | timeline score: 1 | |
| Mar 30, 2011 at 5:52 | comment | added | Mariano Suárez-Álvarez | Isn't that restriction on the order $k$ true for $\sigma$ in the group of outer automorphisms? | |
| Mar 30, 2011 at 5:28 | history | edited | Angelo | CC BY-SA 2.5 |
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| Mar 30, 2011 at 5:21 | history | edited | Angelo | CC BY-SA 2.5 |
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| Mar 30, 2011 at 5:15 | history | edited | Angelo | CC BY-SA 2.5 |
deleted 2 characters in body; deleted 11 characters in body; edited body; added 2 characters in body; deleted 47 characters in body; deleted 11 characters in body
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| Mar 30, 2011 at 5:09 | history | asked | Angelo | CC BY-SA 2.5 |