Maybe it will seem absolutely obvious to you but I have a question about
the use of HighestWeightModule. If I call V the sl(2,C)-module with highest
weight 1 and if I see so(4,C) as T:=sl(2,C)+sl(2,C), I'm interested in
considering VxV or VxV* as a so(4,C)-module.
I former used HighestWeightModule by writing HighestWeightModule(T,[1,0])
in place of V but I noticed further some things which made me really
doubtfull about my use of HighestWeightModule. I tried after to use
HighestWeightModule(T,[1,1]) in place of my tensor product, but I'd like
to know if it's a good way, because I obtained more interesting results
for my goal (I spoke about it in a previous mail) by this way. The help
didn't give me an easy answer and I didn't understand enough how
HighestWeightModule build the module to know if I'm right.
Hoping it may interest some of you,