Isometries of quadratic spaces

被引：10
|
作者：
Bayer-Fluckiger, Eva [1 ]
机构：
[1] EPFL FSB MATHGEOM CSAG, CH-1015 Lausanne, Switzerland
来源：
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2015年 / 17卷 / 07期
关键词：
Quadratic space; isometry; orthogonal group; minimal polynomial; UNIMODULAR LATTICES; ORTHOGONAL GROUPS;
D O I：
10.4171/JEMS/541
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let k be a global field of characteristic not 2, and let f is an element of k[X] be an irreducible polynomial. We show that a non-degenerate quadratic space has an isometry with minimal polynomial f if and only if such an isometry exists over all the completions of k. This gives a partial answer to a question of Milnor.
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页码：1629 / 1656
页数：28
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