The adjoint representation can also be defined for algebraic groups over any field.
The circle group is more than just an abstract algebraic group.
His main publications were on quadratic forms and algebraic groups.
He is known for his work on representation theory, in particular for algebraic groups.
Ree groups are not given as the points of some connected algebraic group with values in a field.
These were the first algebraic groups to be extensively studied.
This is a large field, and now basic in the theories of algebraic groups.
Note that the degree is n 1 which agrees with the dimension as an algebraic group.
More generally, this holds for simple algebraic groups of rank at least two over a local field.
The decomposition is important in the study of algebraic groups.