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Feb 28, 2014 at 18:34 comment added Tobias Kildetoft @JimHumphreys I had a feeling that would be overkill, but my knowledge of the theory for $SL_2$ is a bit lacking (something I will need to fix at some point). Do you know any good reference for the $SL_2$ specifics?
Feb 28, 2014 at 15:57 comment added Jim Humphreys One other comment: your expanded answer is helpful, but there's no need to invoke Jantzen's sum formula here to find composition factors (that much is very easy). for the module structure of such tensor products, methods of Doty and Henke are systematic.
Feb 28, 2014 at 15:34 vote accept Lloyd Yu-West
Feb 26, 2014 at 9:10 history edited Tobias Kildetoft CC BY-SA 3.0
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Feb 25, 2014 at 21:01 comment added Jim Humphreys Sorry, I got confused by the later part of your answer (probably expecting to see some twisted tensor proaducts). The basic notation is not a problem.
Feb 25, 2014 at 19:13 comment added Tobias Kildetoft @JimHumphreys Which part of the notation?
Feb 25, 2014 at 18:33 comment added Jim Humphreys I can't follow your notation, which is nonstandard, so I've written down my own version.
Feb 25, 2014 at 8:25 history answered Tobias Kildetoft CC BY-SA 3.0