TAILIEUCHUNG - Introduction to Groups

Thi s int roduc tion to Gro up The ory, wit h its emp hasis on Lie Gro ups and the ir app licat ion to the stu dy of sym metri es of the fun damen tal con stitu ents of mat ter, has its ori gin in a one -seme ster cou rse tha t I tau ght at Yal e Uni versi ty for mor e tha n ten yea rs. The cou rse was dev elope d for Sen iors, and adv anced Jun iors, maj oring in the Phy sical Sci ences . | Introduction to Groups Invariants and Particles Frank W. K. Firk Professor Emeritus of Physics Yale University 2000 ii iii CONTENTS Preface v 1. Introduction 1 2. Galois Groups 4 3. Some Algebraic Invariants 15 4. Some Invariants of Physics 23 5. Groups - Concrete and Abstract 37 6. Lie s Differential Equation Infinitesimal Rotations and Angular Momentum Operators 50 7. Lie s Continuous Transformation Groups 61 8. Properties of n-Variable r-Parameter Lie Groups 71 9. Matrix Representations of Groups 76 10. Some Lie Groups of Transformations 87 11. The Group Structure of Lorentz Transformations 100 12. Isospin 107 13. Groups and the Structure of Matter 120 14. Lie Groups and the Conservation Laws of the Physical Universe 150 15. Bibliography .

• Vật lý
• Introduction
• Galois Groups
• Some Algebraic Invariants
• Some Invariants of Physics
• Groups
• Concrete and Abstract
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