CSpace
Minimal norm Jordan splittings of quadratic lattices over complete dyadic discrete valuation rings
Xu, F
2003-10-01
Source PublicationARCHIV DER MATHEMATIK
ISSN0003-889X
Volume81Issue:4Pages:402-415
AbstractIn [5], the so called minimal norm Jordan splitting over a ring of integers of dyadic local fields is introduced for determining the generators of integral orthogonal groups for the purpose of computing integral spinor norms. Such a normalization of Jordan splittings turns out to be useful in dyadic theory (see also [6] and [7]). In this note, we give a more conceptual proof and extend this result to a complete dyadic discrete valuation ring, where the residue field is not necessarily perfect. As an application, we discuss the Witt cancellation theorem and also give a proof of Theorem 10 in [4, Chapter 10], where the rigorous proof is not available. It should be pointed out that [31 gives some variation of the classification theorem over Z(2) but not the detailed proof.
DOI10.1007/s00013-003-4627-y
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000187109000005
PublisherBIRKHAUSER VERLAG AG
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18816
Collection中国科学院数学与系统科学研究院
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Xu, F. Minimal norm Jordan splittings of quadratic lattices over complete dyadic discrete valuation rings[J]. ARCHIV DER MATHEMATIK,2003,81(4):402-415.
APA Xu, F.(2003).Minimal norm Jordan splittings of quadratic lattices over complete dyadic discrete valuation rings.ARCHIV DER MATHEMATIK,81(4),402-415.
MLA Xu, F."Minimal norm Jordan splittings of quadratic lattices over complete dyadic discrete valuation rings".ARCHIV DER MATHEMATIK 81.4(2003):402-415.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Xu, F]'s Articles
Baidu academic
Similar articles in Baidu academic
[Xu, F]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Xu, F]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.