Limit multiplicities for \({\text{SL}}_2(\mathcal{O}_F)\) in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})\) (Q2327662)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit multiplicities for \({\text{SL}}_2(\mathcal{O}_F)\) in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})\) |
scientific article |
Statements
Limit multiplicities for \({\text{SL}}_2(\mathcal{O}_F)\) in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{R_2})\) (English)
0 references
15 October 2019
0 references
Summary: We prove that the family of lattices \({\text{SL}}_2(\mathcal{O}_F), F\) running over number fields with fixed archimedean signature \((r_1, r_2)\), in \({\text{SL}}_2(\mathbb{R}^{r_1}\oplus\mathbb{C}^{r_2})\) has the limit multiplicity property.
0 references
limit multiplicities
0 references
trace formula
0 references
0 references
0 references
0 references
0 references
