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Results tagged with adeles
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user 23291
3
votes
Adelic and classical modular forms on quaternion algebras
connected semisimple group which is simple over $\mathbb Q$, and if $G(\mathbb{R})$ is not compact, then $G(\mathbb {Q})$ is a dense subgroup of $G(\mathbb{A}_f)$ ($\mathbb{A}_f$ is the ring of finite adeles …
- 11.2k
3
votes
Compactness of the automorphic quotient
If $\mathbb{A},\mathbb{A}_f$ denote the adeles and finite adles over $\mathbb{Q}$, then $SL_n(\mathbb{Q})$ is dense in $SL_n(\mathbb{A}_f)$ (strong approximation; easy to prove in this case) and hence …
- 11.2k
2
votes
vanishing of spectral term in Arthur-Selberg trace formula for GL(2)?
The space of regular semi-simple elements in the infinite component $GL_2({\mathbb R})$ which are elliptic is an open set. If you take a compactly supported smooth function $f$ whose support in the re …
- 11.2k