Algebras carrying maps of degree n
We discuss classes of algebras which carry a map of degree n into one of
their subalgebras.
Some of these maps permit some weak type of (Jordan) composition and can
be viewed as generalizations of a norm form.
For instance, several classes of algebras recently obtained
carry what we call a semi-multiplicative map. Their elements satisfy a
polynomial identity over one of their subalgebras, thus behaving
similar to algebras with norm forms.
S. Pumpluen < susanne.pumpluen@nottingham.ac.uk >
A. Steele < pmxas4@nottingham.ac.uk >