# Isometries of quadratic spaces

Journal of the European Mathematical Society (2015)

- Volume: 017, Issue: 7, page 1629-1656
- ISSN: 1435-9855

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topBayer-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 -

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