Forms over fields and Witt's lemma
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Forms over fields and Witt's lemma. / Sprehn, David; Wahl, Nathalie.
I: Mathematica Scandinavica, Bind 126, Nr. 3, 2020, s. 401-423.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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