Representations and Invariants of the Classical Groups

1. Classical groups as linear algebraic groups 2. Basic structure of classical groups 3. Algebras and representations 4. Polynomials and tensor invariants 5. Highest weight theory 6. Spinors 7. Cohomology and characters 8. Branching laws 9. Tensor representations of GL(V) 10. Tensor represenations of O(V) and Sp(V) 11. Algebraic groups and homogeneous spaces 12. Representations on Aff(X) A. Algebraic geometry B. Linear and multilinear algebra C. Associative algebras and Lie algebras D. Manifolds and Lie groups.