Timeline for About the structure of smooth automorphic forms
Current License: CC BY-SA 4.0
8 events
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Nov 24, 2022 at 19:38 | comment | added | Adjoint Functor | @Subhajit Jana I see...Thank you very much! I will try it! | |
Nov 24, 2022 at 19:34 | comment | added | Subhajit Jana | The above reference deals with the Fourier expansion with respect to the maximal unipotent (the 1+1+...+1 one). I believe the proof for the other unipotent subgroups can be similarly worked out (usually the maximal unipotent is the hardest case). | |
Nov 24, 2022 at 19:09 | comment | added | Adjoint Functor | @Subhajit Jana Thank you very much for your reply. I was considering the constant term of $E(g,s;\Phi,\eta)$ along any other (standard) parabolic subgroup of $GL_n$, not just the $(n-1,1)$ one. | |
Nov 24, 2022 at 18:56 | history | edited | Adjoint Functor | CC BY-SA 4.0 |
fix typo and give more details
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Nov 24, 2022 at 18:34 | comment | added | Subhajit Jana | For any automorphic form $\phi$ in $\mathcal{A}^2(P)$ one can consider its constant term along any other parabolic $Q$, defined by $\int_{N_Q(F)\backslash N_Q(\mathbb{A})} \phi(n\cdot)$. For $E(g,s)$ the computation of the constant term is standard. You may look at section 3 at arxiv.org/abs/2012.07817. | |
Nov 24, 2022 at 18:01 | history | edited | David Loeffler | CC BY-SA 4.0 |
edited body
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S Nov 24, 2022 at 17:30 | review | First questions | |||
Nov 24, 2022 at 19:24 | |||||
S Nov 24, 2022 at 17:30 | history | asked | Adjoint Functor | CC BY-SA 4.0 |