Forms over fields and Witt's lemma

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Forms over fields and Witt's lemma. / Sprehn, David; Wahl, Nathalie.

In: Mathematica Scandinavica, Vol. 126, No. 3, 2020, p. 401-423.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Sprehn, D & Wahl, N 2020, 'Forms over fields and Witt's lemma', Mathematica Scandinavica, vol. 126, no. 3, pp. 401-423. https://doi.org/10.7146/math.scand.a-120488

APA

Sprehn, D., & Wahl, N. (2020). Forms over fields and Witt's lemma. Mathematica Scandinavica, 126(3), 401-423. https://doi.org/10.7146/math.scand.a-120488

Vancouver

Sprehn D, Wahl N. Forms over fields and Witt's lemma. Mathematica Scandinavica. 2020;126(3):401-423. https://doi.org/10.7146/math.scand.a-120488

Author

Sprehn, David ; Wahl, Nathalie. / Forms over fields and Witt's lemma. In: Mathematica Scandinavica. 2020 ; Vol. 126, No. 3. pp. 401-423.

Bibtex

@article{da1849733a0347a6bda8da82f7ed0e86,
title = "Forms over fields and Witt's lemma",
abstract = " We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vector spaces over fields, and describe its relationship to the classical notions of Hermitian, alternating and quadratic forms. We then prove a version of Witt's lemma in this context, showing in particular that the action of the group of isometries of a space equipped with a form is transitive on isometric subspaces. ",
keywords = "math.KT, math.AT",
author = "David Sprehn and Nathalie Wahl",
note = "Final version, to appear in Math. Scand",
year = "2020",
doi = "10.7146/math.scand.a-120488",
language = "English",
volume = "126",
pages = "401--423",
journal = "Mathematica Scandinavica",
issn = "0025-5521",
publisher = "Aarhus Universitet * Mathematica Scandinavica",
number = "3",

}

RIS

TY - JOUR

T1 - Forms over fields and Witt's lemma

AU - Sprehn, David

AU - Wahl, Nathalie

N1 - Final version, to appear in Math. Scand

PY - 2020

Y1 - 2020

N2 - We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vector spaces over fields, and describe its relationship to the classical notions of Hermitian, alternating and quadratic forms. We then prove a version of Witt's lemma in this context, showing in particular that the action of the group of isometries of a space equipped with a form is transitive on isometric subspaces.

AB - We give an overview of the general framework of forms of Bak, Tits and Wall, when restricting to vector spaces over fields, and describe its relationship to the classical notions of Hermitian, alternating and quadratic forms. We then prove a version of Witt's lemma in this context, showing in particular that the action of the group of isometries of a space equipped with a form is transitive on isometric subspaces.

KW - math.KT

KW - math.AT

U2 - 10.7146/math.scand.a-120488

DO - 10.7146/math.scand.a-120488

M3 - Journal article

VL - 126

SP - 401

EP - 423

JO - Mathematica Scandinavica

JF - Mathematica Scandinavica

SN - 0025-5521

IS - 3

ER -

ID: 248189887