Orthogonal involutions over fields with I3=0

Becher K. J., Bingöl F. K.

Journal of Pure and Applied Algebra, vol.229, no.6, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 229 Issue: 6
  • Publication Date: 2025
  • Doi Number: 10.1016/j.jpaa.2025.107979
  • Journal Name: Journal of Pure and Applied Algebra
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Keywords: Classification, Cohomological invariant, Isotropy, Quaternion algebra, Skew-Hermitian form, u-invariant
  • Galatasaray University Affiliated: Yes

Abstract

We provide upper bounds on the u-invariant for skew-hermitian forms over a quaternion algebra with its canonical involution in terms of the u-invariant of the base field F of characteristic different from 2 when I3F=0.