Higher Derivations in Invariant Theory
نویسنده
چکیده
Much of the wonderful invariant theory of the 19 century worked over fields of characteristic zero, while the theory for prime characteristic lagged behind. However, the Frobenius (p power) map in characteristic p > 0 leads to a rich theory of invariants in prime characteristic. This theory is closely bound up with the Steenrod Algebra, which allows us to derive new invariants from known invariants. I won’t go into the history of the Steenrod Algebra except to say that it was developed to study certain cohomology rings in Algebraic Topology. We’ll take a more elementary (and algebraic) approach to the Steenrod Algebra which has been popularized by L. Smith and R. Wood.
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