Explicit computations in Hecke algebras of GL$_2$ over Dedekind domains
Explicit computations in Hecke algebras of GL$_2$ over Dedekind domains
In this paper, a formula for the number of right cosets contained in a double coset with respect to the unimodular group of invertible ($2 \times 2$)-matrices over a Dedekind domain is developed. As applications we derive an index formula for congruence subgroups and an algorithm for the explicit calculation …