Bücher
Service
R. Michael Howe spent 20 years in various roles in the music industry and earned a PhD in mathematics at the University of Iowa, becoming a professor at the University of Wisconsin-Eau Claire, where he is now Emeritus Professor. As a mathematics professor he has supervised research and independent study projects of scores of undergraduate students, at least a dozen of whom have gone on to earn a PhD in mathematics. He still enjoys playing music and his other hobbies include hiking, mountaineering, kayaking, biking and skiing.
Preface
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
