Discriminant and Clifford algebras
(2002) Mathematische Zeitschrift — Vol. 240, n° 2, p. 345-384 (2002)
Files
632002.pdf
Restricted Access - Adobe PDF
- 389.72 KB
Details
- Authors
Tignol, Jean-Pierre 
- Abstract
- The centralizer of a square-central skew-symmetric unit in a central simple algebra with orthogonal involution carries a unitary involution. The discriminant algebra of this unitary involution is shown to be an orthogonal summand in one of the components of the Clifford algebra of the orthogonal involution. As an application, structure theorems for orthogonal involutions on central simple algebras of degree 8 are obtained.
- Affiliations
Citations
Quéguiner-Mathieu, A., & Tignol, J.-P. (2002). Discriminant and Clifford algebras. Mathematische Zeitschrift, 240(2), 345-384. https://doi.org/10.1007/s002090100385 (Original work published 2002)