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Levels and sublevels of composition algebras over p-adic function fields
Author(s)
Date Issued
2008
Date Available
2010-10-06T15:17:17Z
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].
Sponsorship
Other funder
Other Sponsorship
RTN Network: "Algebraic K-Theory, Linear Algebraic Groups and Related Structures" (HPRN-CT-2002-00287)
Type of Material
Journal Article
Publisher
Birkhäuser
Journal
Archiv der Mathematik
Volume
91
Issue
1
Start Page
31
End Page
43
Copyright (Published Version)
2008 Birkhäuser Verlag Basel/Switzerland
Subject – LCSH
Forms, Quadratic
p-adic fields
Quaternions
Cayley numbers (Algebra)
Web versions
Language
English
Status of Item
Peer reviewed
ISSN
0003-889X (Print)
1420-8938 (Online)
This item is made available under a Creative Commons License
File(s)
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LaSOverPadicPreprint.pdf
Size
322.5 KB
Format
Adobe PDF
Checksum (MD5)
94700977b954b6e917dbb07f90e66360
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