Multiplicative products of Dedekind \(\eta\)-functions and group representations
type: Item
instance of: scholarly article
title: Multiplicative products of Dedekind \(\eta\)-functions and group representations
zbMATH Open document ID: 1093.11029
DOI: 10.1023/A:1023251003131
author: Galina V. Voskresenskaya
published in: Mathematical Notes
publication date: 2004-11-15T00:00:00Z
review text: The present paper continues the author's investigations of metacyclic groups which began in the papers [1,2]. The author gives all metacyclic groups \(\langle a,b:a^m=e,b^s=e,b^{-1}ab=a^r\rangle\), where \(m=10,14,15,20,21,22\), such that the cusp forms associated with all elements of these groups by an exact representation are multiplicative \(\eta\)-products. She also considers the correspondence between multiplicative \(\eta\)-products and elements of finite order in SL\((5, \mathbb{C})\) by the adjoint representation.
reviewed by: Olaf Ninnemann
Mathematics Subject Classification ID: 11F22
Mathematics Subject Classification ID: 11F20
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 11F11
zbMATH DE Number: 2115593
zbMATH Keywords: modular form
zbMATH Keywords: group representation
zbMATH Keywords: metacyclic group
zbMATH Keywords: multiplicative \(\eta\)-product
MaRDI profile type: Publication
full work available at URL: a:1023251003131
OpenAlex ID: W109770623
description: scientific article; zbMATH DE number 2115593