Representation fields for quaternionic skew-Hermitian forms
type: Item
instance of: scholarly article
title: Representation fields for quaternionic skew-Hermitian forms
zbMATH Open document ID: 1193.11034
author: Luis Arenas-Carmona
published in: Archiv der Mathematik
publication date: 2010-05-17T00:00:00Z
review text: The paper proves the existence of representation fields for quaternionic skew-Hermitian forms; thus extending earlier results of the author for special cases. Furthermore the image of the spinor norm is computed for all non-diagonalizable lattices.
reviewed by: Meinhard Peters
Mathematics Subject Classification ID: 11E41
Mathematics Subject Classification ID: 11R52
Mathematics Subject Classification ID: 11E95
Mathematics Subject Classification ID: 11R37
zbMATH DE Number: 5708650
zbMATH Keywords: skew-Hermitian forms
zbMATH Keywords: quaternion algebras
zbMATH Keywords: spinor norm
zbMATH Keywords: spinor class field
MaRDI profile type: Publication
full work available at URL: s00013-010-0104-6
OpenAlex ID: W2118926135
cites work: Applications of spinor class fields: embeddings of orders and quaternionic lattices.
cites work: Q4665001
cites work: Integral Springer Theorem for Quaternionic Forms
cites work: Q5203096
cites work: Representations of indefinite quadratic forms
DOI: 10.1007/S00013-010-0104-6
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description: scientific article; zbMATH DE number 5708650