A linear algebraic group is any (Zariski closed) algebraic subgroup of where is a field and a natural number.
An algebraic group over a field is linear iff it is affine as a -scheme.
An algebraic group scheme is affine if the underlying scheme is affine.
The category of affine group schemes over a field is the opposite of the category of commutative Hopf algebras over .
Related notions include algebraic group, affine algebraic group, hyperalgebra, distribution on an affine group scheme
Last revised on August 22, 2023 at 13:59:12. See the history of this page for a list of all contributions to it.