All Questions
3 questions
9
votes
1
answer
934
views
Difference between automorphic forms for SL(2) and GL(2)?
Hi,
Let $A$ denote the adeles of $Q$.
I know how to decompose $L^2(SL(2,A)/SL(2,Q))$ into irreducible $SL(2,A)$-representations. What is the difference between this decomposition and the ...
6
votes
2
answers
346
views
Definition of unitary representation of $\mathbf G(\mathbb A_k)$
Let $k$ be a global field, and let $G = \mathbf G(\mathbb A_k)$ for a connected, reductive group $\mathbf G$ over $k$. In these notes by Jayce Getz and Heekyoung Hahn, a unitary representation of $G$ ...
1
vote
0
answers
185
views
From Maass forms to automorphic forms of $SL_2(\mathbb{A})$
I'm learning basic stuff about automorphic forms, please, if anything I say is not true, excuse me.
Let $X = \Gamma\setminus \mathcal{H}$ be a modular curve and let $f(\tau)$ be a Maass cusp form. ...