Spezielle Konjugationsklassen der Modulgruppe vierten Grades und Stufe \(q>2\). (Special conjugacy classes of the modular group of degree 4 and level \(>2)\)
type: Item
instance of: scholarly article
title: Spezielle Konjugationsklassen der Modulgruppe vierten Grades und Stufe \(q>2\). (Special conjugacy classes of the modular group of degree 4 and level \(>2)\)
zbMATH Open document ID: 0695.10022
DOI: 10.1007/BF02941378
author: P. Ploch
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1988-01-01T00:00:00Z
review text: Let \(\Gamma\) (n,q) denote the principal congruence subgroup of level q of the Siegel modular group of degree n. If one wants to apply the Selberg trace formula in order to calculate the dimension of the space of cusp forms of weight k for \(\Gamma\) (n,q), one needs to know the conjugacy classes of \(\Gamma\) (n,q). In the paper under review the author considers the case \(n=4\), \(q>2\) and those classes of matrices, which are expected to give a contribution to the dimension integral, i.e., the characteristic polynomial of the matrices is equal to \((X-1)^ 8.\) In this situation she explicitly states a representative of each conjugacy class.
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11F06
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 4137870
zbMATH Keywords: Siegel modular function
zbMATH Keywords: Siegel modular group
zbMATH Keywords: Selberg trace formula
zbMATH Keywords: dimension
zbMATH Keywords: space of cusp forms
zbMATH Keywords: conjugacy classes
zbMATH Keywords: dimension integral
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4137870