Representations of general linear groups

Abstract List of symbols 1. Introduction 2. Examples 3. Gaussian polynomials 4. Compositions of n 5. Root subgroups of Gn 6. Subgroups of Gn associated with compositions 7. Coset representatives 8. Subgroups of Gn used for induction 9. Some idempotent elements of KGn 10. The permutation module Mlambda 11. The Submodule Theorem 12. A lower bound for the dimension of Smu 13. The Kernel Intersection Theorem for S(n-m,m) 14. Reordering the parts of lambda 15. The Kernel Intersection Theorem 16. Consequences of the Kernel Intersection Theorem 17. Removing the first column from [lambda] 18. Isotropic spaces 19. The prime divisors of Gaussian polynomials 20. The composition factors of S(n-m,m) Acknowledgements References.