Timeline for Finite-codimension subalgebras of generalized Kac-Moody lie algebras
Current License: CC BY-SA 3.0
9 events
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| Jan 3, 2015 at 12:35 | comment | added | YCor | Beware (in contrast to the group setting) that the existence of a proper finite-codimensional subalgebra does not imply that of such an ideal. For instance Amayo (Quasi-ideals of Lie algebras II, Proc. London Math. Soc. (3) 33, 1976, 37-64) constructed an infinite-dimensional simple Lie algebra with a subalgebra of codimension 1. | |
| Jan 2, 2015 at 23:59 | history | edited | Ian Agol | CC BY-SA 3.0 |
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| Jan 2, 2015 at 22:19 | comment | added | Ian Agol | Right, I think this was just a typo on my part. | |
| Jan 2, 2015 at 22:09 | comment | added | Jim Humphreys | Thanks for the clarification. Usually "finite index" has meaning only in a group-theoretic context. | |
| Jan 2, 2015 at 20:41 | history | edited | Ian Agol | CC BY-SA 3.0 |
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| Jan 2, 2015 at 18:48 | history | edited | Ian Agol | CC BY-SA 3.0 |
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| Jan 2, 2015 at 18:48 | comment | added | Ian Agol | Yes, finite codimension as a vector space. Is there another possible interpretation? | |
| Jan 2, 2015 at 18:46 | comment | added | Jim Humphreys | Can you clarify what you mean by "finite index"? Do you mean "finite codimension"? | |
| Jan 2, 2015 at 17:56 | history | asked | Ian Agol | CC BY-SA 3.0 |