Timeline for About G-modules with good filtrations
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jun 19, 2014 at 7:00 | comment | added | Wilberd van der Kallen | One may also observe that the two definitions are equivalent for submodules of the injective hull of a finite dimensional module. The definition of Jantzen gets unpleasant only when multiplicities of weight spaces of $U$-fixed points become infinite. | |
| Jun 18, 2014 at 23:41 | comment | added | Jim Humphreys | Note that Jantzen and van der Kallen start with slightly different definitions of "good filtration" in infinite dimension. In any case, your question and Jeremy's answer already work for finite dimensional modules if you take advantage of Jantzen's construction of injective objects in "bounded" categories (which works at least when the prime is not too small). | |
| Jun 18, 2014 at 21:57 | vote | accept | sabrebooth | ||
| Jun 18, 2014 at 20:25 | answer | added | Jeremy Rickard | timeline score: 7 | |
| Jun 18, 2014 at 17:36 | review | First posts | |||
| Jun 18, 2014 at 17:54 | |||||
| Jun 18, 2014 at 17:18 | history | asked | sabrebooth | CC BY-SA 3.0 |