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

Author(s)
O'Shea, James  
Geel, Jan Van  
Uri
http://hdl.handle.net/10197/2497
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
Subjects

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
Web versions
http://dx.doi.org/10.1007/s00013-008-2641-9
Language
English
Status of Item
Peer reviewed
ISSN
0003-889X (Print)
1420-8938 (Online)
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-sa/1.0/
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LaSOverPadicPreprint.pdf

Size

322.5 KB

Format

Adobe PDF

Checksum (MD5)

94700977b954b6e917dbb07f90e66360

Owning collection
Mathematics and Statistics Research Collection

Item descriptive metadata is released under a CC-0 (public domain) license: https://creativecommons.org/public-domain/cc0/.
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