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Representations of general linear groups

Author: G D James
Publisher: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1984.
Series: London Mathematical Society lecture note series, 94.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

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.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: G D James
ISBN: 0521269814 9780521269810
OCLC Number: 10207802
Description: xii, 147 pages : illustrations ; 23 cm.
Contents: 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.
Series Title: London Mathematical Society lecture note series, 94.
Responsibility: G.D. James.
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