Representations of General Linear Groups Book

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 MÎ";
11. The Submodule Theorem;
12. A lower bound for the dimension of SÎ';
13. The Kernel Intersection Theorem for S(n-m,m);
14. Reordering the parts of Î";
15. The Kernel Intersection Theorem;
16. Consequences of the Kernel Intersection Theorem;
17. Removing the first column from [Î"];
18. Isotropic spaces;
19. The prime divisors of Gaussian polynomials;
20. The composition factors of S(n-m,m); Acknowledgements; References.