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Jun 15, 2016 at 7:08 vote accept Matht111101111
Jun 14, 2016 at 20:36 comment added Kimball @Guest111101111 Well, this argument gets you examples on $G$. You can view it as a case of parabolic induction with $M=G$. I wouldn't expect any pure factorization for Eisenstein series. Already for GL(2), the constant term of an Eisenstein series itself is not factorizable, but a sum of things which are factorizable.
Jun 14, 2016 at 18:11 comment added Matht111101111 But is it a parabolic induction? Maybe I should ask for something more modest, I care only for quotients and not subs. Probably your example can be cooked accordingly. Is there perhaps something that can be said for Eisenstein series?
Jun 14, 2016 at 9:52 history answered Kimball CC BY-SA 3.0