Abstract
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.
Details
Title
Isometries of quadratic spaces
Author(s)
Bayer-Fluckiger, Eva
Published in
Journal Of The European Mathematical Society
Pagination
28
Volume
17
Issue
7
Pages
1629-1656
Date
2015
Publisher
Zurich, European Mathematical Soc
ISSN
1435-9855
Keywords
Other identifier(s)
View record in Web of Science
Laboratories
CSAG
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > SB Archives > CSAG - Chair of Algebraic and Geometric Structures
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2015-09-28