Indecomposable quadratic lattices over global function fields
type: Item
instance of: scholarly article
title: Indecomposable quadratic lattices over global function fields
zbMATH Open document ID: 1330.11046
author: Ruiqing Wang
published in: Journal of Number Theory
publication date: 2015-12-07T00:00:00Z
review text: If \(V\) is a regular quadratic space over a global function field \(F\) whose characteristic is not 2, then \(L \subseteq V\) is a \(o\)-lattice if it is a \(o\)-module with \(FL=V\) where \(o\) is the Hasse domain of \(F\). If there do not exist sublattices with \(L_1 \perp L_2 = L\) then \(L\) is said to be indecomposable. The author proves that there exists an indecomposable lattice of rank 5 over a Hasse domain of any rational function field for which \(-1\) is not a square. Examples of three indecomposable lattices of rank 5 and 6 over a Hasse domain of \(F_7(x)\) are also given.
reviewed by: Steven T. Dougherty
Mathematics Subject Classification ID: 11H06
Mathematics Subject Classification ID: 11E12
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 6516882
zbMATH Keywords: indecomposable lattice
zbMATH Keywords: global function field
zbMATH Keywords: Hasse domain
zbMATH Keywords: Jordan splitting
MaRDI profile type: Publication
full work available at URL: j.jnt.2015.09.012
OpenAlex ID: W1914236769
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DOI: 10.1016/J.JNT.2015.09.012
description: scientific article; zbMATH DE number 6516882