The discriminant Pfister form of an algebra with involution of capacity four

Becher, Karim-Johannes;Grenier-Boley, Nicolas;Tignol, Jean-Pierre
(2024) Israel Journal of Mathematics — Vol. 264, n° 1, p. 235-280 (2024)

Files

BGBT_DIAL.pdf
  • Open Access
  • Adobe PDF
  • 435.51 KB
Download

Details

Authors
  • Becher, Karim-Johannes
    Author
  • Grenier-Boley, Nicolas
    Author
  • Tignol, Jean-Pierreorcid-logoUCLouvain
    Author
Abstract
To an orthogonal or unitary involution on a central simple algebra of degree 4, or to a symplectic involution on a central simple algebra of degree 8, we associate a Pfister form that characterises the decomposability of the algebra with involution. In this way we obtain a unified approach to known decomposability criteria for several cases, and a new result for symplectic involutions on degree-8 algebras in characteristic 2.
Affiliations

Citations

  • APA
  • Chicago
  • FWB

Becher, K.-J., Grenier-Boley, N., & Tignol, J.-P. (2024). The discriminant Pfister form of an algebra with involution of capacity four. Israel Journal of Mathematics, 264(1), 235-280. https://doi.org/10.1007/s11856-024-2647-4 (Original work published 2024)