Timeline for Are the Weyl modules projectives?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jun 20, 2012 at 0:19 | comment | added | George McNinch | A finite dimension $\mathfrak{g}$-module $M$ is a projective object in the category of all finite dimensional $\mathfrak{g}$-modules whenever $\mathfrak{g}$ is a (semi)simple Lie alegbra over a field of characteristic 0. This is just a consequence of the fact that every finite dimensional $\mathfrak{g}$-module is completely reducible (under the indicated hypothesis on $\mathfrak{g}$). | |
| Jun 16, 2012 at 11:04 | comment | added | Bruce Westbury | Weyl modules in characteristic zero are of course projective. | |
| Jun 15, 2012 at 18:05 | history | answered | Bruce Westbury | CC BY-SA 3.0 |