Orthogonal involutions over fields with I3=0

Becher K. J., Bingöl F. K.

Journal of Pure and Applied Algebra, cilt.229, sa.6, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 229 Sayı: 6
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1016/j.jpaa.2025.107979
  • Dergi Adı: Journal of Pure and Applied Algebra
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Classification, Cohomological invariant, Isotropy, Quaternion algebra, Skew-Hermitian form, u-invariant
  • Galatasaray Üniversitesi Adresli: Evet

Özet

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.