Abstract
AbstractWe derive an explicit isomorphism between the Hilbert modular group and certain congruence subgroups on the one hand and particular subgroups of the special orthogonal groupSO(2, 2) on the other hand. The proof is based on an application of linear algebra adapted to number theoretical needs.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Reference19 articles.
1. Bassendowski, D.: Klassifikation Hilbertscher Modulflächen zur symmetrischen Hurwitz-Maaß-Erweiterung. Bonner Math. Schriften 163 (1985)
2. Blumenthal, O.: Über Modulfunktionen von mehreren Veränderlichen. Math. Ann. 56, 509–548 (1903)
3. Blumenthal, O.: Über Modulfunktionen von mehreren Veränderlichen. Math. Ann. 58, 497–527 (1904)
4. Borcherds, R.: Automorphic forms on $$O_{s+2,2}(\mathbb{R})$$ and infinite products. Invent. Math. 120, 161–213 (1995)
5. Bruinier, J.H.: Hilbert modular forms and their applications. In: Bruinier, J.H., et al. (eds.) The 1-2-3 of Modular Forms, pp. 105–179. Springer, Berlin (2008)
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献