Levels and sublevels of composition algebras over p-adic function fields

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Title: Levels and sublevels of composition algebras over p-adic function fields
Authors: O'Shea, James
Geel, Jan Van
Permanent link: http://hdl.handle.net/10197/2497
Date: 2008
Abstract: In [O'S], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields. In this paper, the level and sublevel of composition algebras, of dimension 4 and 8 over rational function fields over local non-dyadic fields, are determined completely in terms of the local ramification data of the algebras. The proofs are based on the "classification" of quadratic forms over such fields, as is given in [PS].
Funding Details: Other funder
Type of material: Journal Article
Publisher: Birkhäuser
Copyright (published version): 2008 Birkhäuser Verlag Basel/Switzerland
Keywords: Quadratic form;P-adic function field;Level;Sublevel;Quaternion algebra;Octonion algebra
Subject LCSH: Forms, Quadratic
p-adic fields
Quaternions
Cayley numbers (Algebra)
DOI: 10.1007/s00013-008-2641-9
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mathematics and Statistics Research Collection

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