2 papers
math.RA2018
Derivations of octonion matrix algebras
Harry Petyt
It is well-known that the exceptional Lie algebras and arise from the octonions as the derivation algebras of the hermitian and $1\time…
math.RA2018
The special linear group for nonassociative rings
Harry Petyt
We extend to arbitrary rings a definition of the octonion special linear group due to Baez. At the infinitesimal level we get a Lie ring, which we describe over some large classes…