An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group Howe R. Michael
PrefaceIntroductionChapter 1. First StepsChapter 2. Polynomials, Subspaces, and SubrepresentationsChapter 3. Intertwining Maps, Complete Reducibility, and Invariant Inner ProductsChapter 4. The…
Specifikacia An Invitation to Representation Theory: Polynomial Representations of the Symmetric Group Howe R. Michael
PrefaceIntroductionChapter 1. First StepsChapter 2. Polynomials, Subspaces, and SubrepresentationsChapter 3. Intertwining Maps, Complete Reducibility, and Invariant Inner ProductsChapter 4. The Structure of the Symmetric GroupChapter 5. Sn Decomposition of Polynomial Spaces for n= 1,2,3.Chapter 6. The Group AlgebraChapter 7. The Irreducible Representations of Sn: CharactersChapter 8. The Irreducible Representations of Sn: Young SymmetrizersChapter 9. Cosets, Restricted and Induced RepresentationsChapter 10. Direct Products of Groups, Young Subgroups and Permutation ModulesChapter 11. Specht ModulesChapter 12. Decomposition of Young Permutation ModulesChapter 13. Branching RelationsBibliographyIndex