Isometries of quadratic spaces

Bayer-Fluckiger, Eva. "Isometries of quadratic spaces." Journal of the European Mathematical Society 017.7 (2015): 1629-1656. <http://eudml.org/doc/277490>.

@article{Bayer2015,
abstract = {Let $k$ be a global field of characteristic not 2, and let $f \in k[X]$ 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.},
author = {Bayer-Fluckiger, Eva},
journal = {Journal of the European Mathematical Society},
keywords = {quadratic space; isometry; orthogonal group; minimal polynomial; Hasse principle; quadratic space; orthogonal group isometry; minimal polynomial; Hasse principle},
language = {eng},
number = {7},
pages = {1629-1656},
publisher = {European Mathematical Society Publishing House},
title = {Isometries of quadratic spaces},
url = {http://eudml.org/doc/277490},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Bayer-Fluckiger, Eva
TI - Isometries of quadratic spaces
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 7
SP - 1629
EP - 1656
AB - Let $k$ be a global field of characteristic not 2, and let $f \in k[X]$ 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.
LA - eng
KW - quadratic space; isometry; orthogonal group; minimal polynomial; Hasse principle; quadratic space; orthogonal group isometry; minimal polynomial; Hasse principle
UR - http://eudml.org/doc/277490
ER -