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.

引用

页码：1629 / 1656

页数：28

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