Abstract
This chapter reviews unipotent differential algebraic groups. A differential algebraic group is a group object in the category of differential algebraic sets. It is the solution set in affine space of finitely many polynomial differential equations. The coordinate functions of the group laws are everywhere defined differential rational functions. In particular, every algebraic group is differential algebraic. Unipotent differential algebraic groups bear a striking resemblance to unipotent algebraic groups defined over a field k of characteristic p > 0. The chapter discusses the structure of unipotent differential algebraic groups and commutative linear unipotent differential algebraic groups, and also illustrates extensions of differential algebraic groups
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