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
10 - The permutation module Mλ
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
Summary
A summary is not available for this content so a preview has been provided. Please use the Get access link above for information on how to access this content.
- Type
- Chapter
- Information
- Representations of General Linear Groups , pp. 47 - 55Publisher: Cambridge University PressPrint publication year: 1984