Representations of General Linear Groups

Klappentext This book examines the representation theory of the general linear groups! and reveals that there is a close analogy with that of the symmetric groups. Zusammenfassung This book examines the representation theory of the general linear groups! and reveals that there is a close analogy with that of the symmetric groups. Inhaltsverzeichnis 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 M¿; 11. The Submodule Theorem; 12. A lower bound for the dimension of S¿; 13. The Kernel Intersection Theorem for S(n-m,m); 14. Reordering the parts of ¿; 15. The Kernel Intersection Theorem; 16. Consequences of the Kernel Intersection Theorem; 17. Removing the first column from [¿]; 18. Isotropic spaces; 19. The prime divisors of Gaussian polynomials; 20. The composition factors of S(n-m,m); Acknowledgements; References.

Dettagli sul prodotto

• Autori: G. D. James, G.d. James
• Con la collaborazione di: N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 24.05.1984
• EAN: 9780521269810
• ISBN: 978-0-521-26981-0
• Pagine: 160
• Serie: Cambridge Economic Handbooks
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra