An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group
An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group
Introduction
Chapter 1. First Steps
Chapter 2. Polynomials, Subspaces, and Subrepresentations
Chapter 3. Intertwining Maps, Complete Reducibility, and Invariant Inner Products
Chapter 4. The Structure of the Symmetric GroupChapter 5. Sn Decomposition of Polynomial Spaces for n= 1,2,3.
Chapter 6. The Group Algebra
Chapter 7. The Irreducible Representations of Sn: Characters
Chapter 8. The Irreducible Representations of Sn: Young Symmetrizers
Chapter 9. Cosets, Restricted and Induced Representations
Chapter 10. Direct Products of Groups, Young Subgroups and Permutation Modules
Chapter 11. Specht Modules
Chapter 12. Decomposition of Young Permutation Modules
Chapter 13. Branching Relations
Bibliography
Index
Descrierea produsului
Introduction
Chapter 1. First Steps
Chapter 2. Polynomials, Subspaces, and Subrepresentations
Chapter 3. Intertwining Maps, Complete Reducibility, and Invariant Inner Products
Chapter 4. The Structure of the Symmetric GroupChapter 5. Sn Decomposition of Polynomial Spaces for n= 1,2,3.
Chapter 6. The Group Algebra
Chapter 7. The Irreducible Representations of Sn: Characters
Chapter 8. The Irreducible Representations of Sn: Young Symmetrizers
Chapter 9. Cosets, Restricted and Induced Representations
Chapter 10. Direct Products of Groups, Young Subgroups and Permutation Modules
Chapter 11. Specht Modules
Chapter 12. Decomposition of Young Permutation Modules
Chapter 13. Branching Relations
Bibliography
Index
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