Cubic metaplectic forms on exceptional Lie group of type \(G_ 2\)
type: Item
instance of: scholarly article
title: Cubic metaplectic forms on exceptional Lie group of type \(G_ 2\)
zbMATH Open document ID: 0827.11030
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 1995-12-11T00:00:00Z
review text: The paper examines cubic metaplectic forms defined on the simple complex Lie group of \(G\)-type realized as the subgroup \(G_2 (\mathbb{C})\) in \(\text{SL} (7, \mathbb{C})\). The Fourier coefficients of the Eisenstein series are computed. Then the Eisenstein series associated with Kubota-Patterson's cubic theta function and its residue at the ``major'' pole are considered. The techniques used for the computations are based on the consideration of the embeddings of \(\text{SL} (2, \mathbb{C})\) into \(G_2 (\mathbb{C})\).
Mathematics Subject Classification ID: 11F70
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 811426
zbMATH Keywords: cubic metaplectic forms
zbMATH Keywords: simple complex Lie group
zbMATH Keywords: Fourier coefficients
zbMATH Keywords: Eisenstein series
author: N. V. Proskurin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 811426