Book contents
- Frontmatter
- 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 K̄Gn
- 10 The permutation module Mλ
- 11 The Submodule Theorem
- 12 A lower bound for the dimension of Sμ
- 13 The Kernel Intersection Theorem for S(n−m,m)
- 14 Reordering the parts of λ
- 15 The Kernel Intersection Theorem
- 16 Consequences of the Kernel Intersection Theorem
- 17 Removing the first column from [λ]
- 18 Isotropic spaces
- 19 The prime divisors of Gaussian polynomials
- 20 The composition factors of S(n-m,m)
- Acknowledgements
- References
16 - Consequences of the Kernel Intersection Theorem
Published online by Cambridge University Press: 05 May 2010
Book contents
- Frontmatter
- 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 K̄Gn
- 10 The permutation module Mλ
- 11 The Submodule Theorem
- 12 A lower bound for the dimension of Sμ
- 13 The Kernel Intersection Theorem for S(n−m,m)
- 14 Reordering the parts of λ
- 15 The Kernel Intersection Theorem
- 16 Consequences of the Kernel Intersection Theorem
- 17 Removing the first column from [λ]
- 18 Isotropic spaces
- 19 The prime divisors of Gaussian polynomials
- 20 The composition factors of S(n-m,m)
- Acknowledgements
- References
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- Representations of General Linear Groups , pp. 100 - 108Publisher: Cambridge University PressPrint publication year: 1984