How to obtain non-flexible quadratic algebras as mutation algebras of
Hurwitz algebras
We present how to obtain families of four- and eight-dimensional
non-flexible quadratic division algebras over a field F of characteristic
not 2: as a-mutation algebras of Hurwitz division algebras A over F, choosing
a in A outside of F. In particular, we obtain real eight-dimensional
division algebras with derivation algebra su(3) or g2.
S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >