Weil representations and theta functionals on surfaces
type: Item
instance of: scholarly article
zbMATH Open document ID: 1302.11021
publication date: 2014-08-12T00:00:00Z
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11G25
Mathematics Subject Classification ID: 11G35
Mathematics Subject Classification ID: 11F70
zbMATH DE Number: 6329448
zbMATH Keywords: Weil representations
zbMATH Keywords: theta functionals
zbMATH Keywords: arithmetic surfaces
author: Yongchang Zhu
MaRDI profile type: Publication
title: Weil representations and theta functionals on surfaces
review text: The aim of the paper is to generalize the theory of Weil representations and theta functionals for curves to surfaces over a finite field and for arithmetic surfaces. First the author constructs the Weil representation for \(\mathrm{SL}_2\) over a two-dimensional local field. Then theta functionals are considered in the function field case and subsequently in the arithmetic surface case. The limit theta functional is in special cases the theta functional studied earlier by the author [Duke Math. J. 143, No. 1, 17--39 (2008; Zbl 1216.11051)] and it is invariant under loop groups \(\mathrm{SL}_2\).NEWLINENEWLINEFor the entire collection see [Zbl 1285.00037].
reviewed by: Meinhard Peters
description: scientific article; zbMATH DE number 6329448