In these notes, first published in 1980, Professor Northcott
provides a self-contained introduction to the theory of affine
algebraic groups for mathematicians with a basic knowledge of
communicative algebra and field theory. The book divides into two
parts. The first four chapters contain all the geometry needed for
the second half of the book which deals with affine groups.
Alternatively the first part provides a sure introduction to the
foundations of algebraic geometry. Any affine group has an
associated Lie algebra. In the last two chapters, the author
studies these algebras and shows how, in certain important cases,
their properties can be transferred back to the groups from which
they arose. These notes provide a clear and carefully written
introduction to algebraic geometry and algebraic groups.
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