A new approach to classification of integral quadratic forms over dyadic local fields-Reference-Cited by-同舟云学术

A new approach to classification of integral quadratic forms over dyadic local fields

Published:2009-10-06 Issue:3 Volume:362 Page:1599-1617
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Beli Constantin

Abstract

In 1963, O’Meara solved the classification problem for lattices over dyadic local fields in terms of Jordan decompositions. In this paper we translate his result in terms of good BONGs. BONGs (bases of norm generators) were introduced in 2003 as a new way of describing lattices over dyadic local fields. This result and the notions we introduce here are a first step towards a solution of the more difficult problem of representations of lattices over dyadic fields.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2010-362-03/S0002-9947-09-04802-8/S0002-9947-09-04802-8.pdf

Reference4 articles.

1. Integral spinor norm groups over dyadic local fields;Beli, Constantin N.;J. Number Theory,2003

2. Representations of integral quadratic forms over dyadic local fields;Beli, Constantin N.;Electron. Res. Announc. Amer. Math. Soc.,2006

3. Spinor norms of local integral rotations. I;Hsia, J. S.;Pacific J. Math.,1975

4. Die Grundlehren der mathematischen Wissenschaften, Band 117;O’Meara, O. T.,1963

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