On the theta functional of Weil representations for symplectic loop groups
type: Item
instance of: scholarly article
title: On the theta functional of Weil representations for symplectic loop groups
zbMATH Open document ID: 1208.22012
author: Dongwen Liu
author: Yongchang Zhu
published in: Journal of Algebra
publication date: 2011-02-18T00:00:00Z
review text: The authors improve the result of \textit{H. Garland}\ and \textit{Y. Zhu} (\url{arxiv:0812.3236}) on the absolute convergence of the theta functional for loop group Weil representations by showing that one of the conditions used in the proof of the original result is, in fact, redundant. The authors also prove the convergence of the theta functional for a function that is a polynomial times a suitable Gaussian function.
reviewed by: Volodymyr Mazorchuk
Mathematics Subject Classification ID: 22E67
zbMATH DE Number: 5853363
zbMATH Keywords: loop group
zbMATH Keywords: Weil representation
zbMATH Keywords: theta functional
zbMATH Keywords: convergence
zbMATH Keywords: modularity
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2010.06.009
OpenAlex ID: W2063418083
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cites work: Sur certains groupes d'opérateurs unitaires
cites work: Theta functions and Weil representations of loop symplectic groups
DOI: 10.1016/J.JALGEBRA.2010.06.009
description: scientific article; zbMATH DE number 5853363