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Pfister involutions in characteristic two
- Source :
- Bulletin of the London Mathematical Society. 49:505-511
- Publication Year :
- 2017
- Publisher :
- Wiley, 2017.
-
Abstract
- In characteristic two, it is shown that a central simple algebra of degree equal to a power of two with anisotropic orthogonal involution is totally decomposable, if it becomes either anisotropic or metabolic over all extensions of the ground field. A similar result is obtained for the case where this algebra with involution is Brauer-equivalent to a quaternion algebra and it becomes adjoint to a bilinear Pfister form over all splitting fields of the algebra.
- Subjects :
- Pure mathematics
Degree (graph theory)
Quaternion algebra
General Mathematics
010102 general mathematics
Bilinear interpolation
Pfister form
Power of two
01 natural sciences
Ground field
0103 physical sciences
Involution (philosophy)
010307 mathematical physics
0101 mathematics
Central simple algebra
Mathematics
Subjects
Details
- ISSN :
- 00246093
- Volume :
- 49
- Database :
- OpenAIRE
- Journal :
- Bulletin of the London Mathematical Society
- Accession number :
- edsair.doi...........8c559569a486313d73d5fec37a98b108