Multiplier systems and characters for Hermitian modular groups
type: Item
instance of: scholarly article
title: Multiplier systems and characters for Hermitian modular groups
zbMATH Open document ID: 0920.11030
DOI: 10.1007/BF01473581
author: Tobias Dern
published in: Monatshefte für Mathematik
publication date: 1998-09-27T00:00:00Z
full work available at URL: https://eudml.org/doc/178827
review text: For an imaginary quadratic field \(K\) of discriminant \(d\) and ring of integers \(R\), we consider the special unitary modular group \(SU (2n,R)\), \(n\geq 2\). The author proves that the only abelian character of \(SU (2n,R)\) is the trivial one except for the case when \(n=2\), in which another nontrivial character exists. In this way one obtains all the multiplier systems of \(SU(2n,R)\). After that the result is easily extended to the unitary modular group \(U(2n,R)\).
Mathematics Subject Classification ID: 11F55
zbMATH DE Number: 1202441
zbMATH Keywords: Hermitian modular groups
zbMATH Keywords: special unitary modular group
zbMATH Keywords: abelian character
zbMATH Keywords: multiplier systems
reviewed by: Jannis A. Antoniadis
MaRDI profile type: Publication
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OpenAlex ID: W2324575752
description: scientific article; zbMATH DE number 1202441