Forms over fields and Witt's lemma

• David Sprehn ^[1] ; Nathalie Wahl ^[1]
  1. [1] University of Copenhagen

     University of Copenhagen

     Dinamarca

     
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 126, Nº 3, 2020, págs. 401-423
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.