arXiv subjects

Marc Ensenbach

Publications and source records attributed to Marc Ensenbach.

2 recordsLinked to original sources

arXiv2011

Counting cosets of unimodular groups over Dedekind domains

In this paper, a formula for the calculation of the number of right cosets contained in a double coset with respect to a unimodular group over a Dedekind domain is developed, and applications of this formula in the theory of congruence subgroups -- an index formula -- and the theory of abstract Hecke algebras -- a reduction theorem and an algorithm for the explicit calculation of products -- are given.

math.NT↗

arXiv2009

Determinantal divisors of products of matrices over Dedekind domains

Given three lists of ideals of a Dedekind domain, the question is raised, whether there exist two matrices A and B with entries in the given Dedekind domain, such that the given lists of ideals are the determinantal divisors of A, B, and AB, respectively. To answer this question, necessary and sufficient conditions are developed in this article.

math.NT↗