دانلود کتاب Noncommutative Character Theory Of The Symmetric Group

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Cover
Half-title
Title Page
Copyright Page
Dedication
Preface
Contents
Chapter 1. Introduction
Part I: The Inductive Method
Chapter 2. Coproducts
Chapter 3. The Bialgebra C of Class Functions
Part II: Noncommutative Character Theory of the Symmetric Group
Chapter 4. Shapes
Chapter 5. The Bialgebra P of Permutations
Chapter 6. Frames
Chapter 7. Epimorphisms
Chapter 8. The Coplactic Algebra Q
Chapter 9. The Main Theorem
Part III: Classical Character Theory of the Symmetric Group
Chapter 10. Irreducible Characters
Chapter 11. The Murnaghan–Nakayama Rule
Chapter 12. Young Characters
Chapter 13. The Littlewood–Richardson Rule
Chapter 14. Foulkes Characters and Descent Characters
Chapter 15. Cyclic Characters and the Free Lie Algebra
Appendix A. Elements of Representation Theory
A.1 Semi-simple Algebras
A.2 Finite Group Characters, the Basics
A.3 Orthogonality Relations
Appendix B. Solomon\'s Mackey Formula
Appendix C. Young Tableaux and Knuth Relations
C.1 Young Tableaux
C.2 Carpets
C.3 A Counting Argument
C.4 The Greene Invariant
Bibliography
Index of Symbols
Index