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- Title
An example of a bireflectional spin group.
- Authors
Oliver Villa
- Abstract
Let $\frak n$ be the anisotropic norm of a Cayley algebra $\frak C$ over a field F of characteristic different from 2 where -1 is a square. Let Spin$(\frak C, \frak n)$ be the spin group of the quadratic form $\frak n$. We prove that every element in Spin$(\frak C, \frak n)$ is a product of two involutory elements, i.e. Spin$(\frak C, \frak n)$ is birefiectional.
- Subjects
CAYLEY algebras; NONASSOCIATIVE algebras; ALGEBRA; MATHEMATICS
- Publication
Archiv der Mathematik, 2003, Vol 81, Issue 1, p1
- ISSN
0003-889X
- Publication type
Article
- DOI
10.1007/s00013-003-0817-x