Cvitanovic Group Theory

Birdtracks, Lie's, and Exceptional Groups
Course Book
ISBN: 978-1-4008-3767-0
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 288 Seiten

No detailed description available for "Group Theory".

Autoren/Hrsg.

Cvitanovic, Predrag

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Quantenphysik
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Acknowledgments xi
Chapter 1: Introduction 1
Chapter 2: A preview 5
Chapter 3: Invariants and reducibility 14
Chapter 4: Diagrammatic notation 27
Chapter 5: Recouplings 42
Chapter 6: Permutations 49
Chapter 7: Casimir operators 60
Chapter 8: Group integrals 76
Chapter 9: Unitary groups 82
Chapter 10: Orthogonal groups 118
Chapter 11: Spinors 132
Chapter 12: Symplectic groups 148
Chapter 13: Negative dimensions 151
Chapter 14: Spinors’ symplectic sisters 155
Chapter 15: SU(n) family of invariance groups 162
Chapter 16: G2 family of invariance groups 170
Chapter 17: E8 family of invariance groups 180
Chapter 18: E6 family of invariance groups 190
Chapter 19: F4 family of invariance groups 210
Chapter 20: E7 family and its negative-dimensional cousins 218
Chapter 21: Exceptional magic 229
Epilogue 235
Appendix A.Recursive decomposition 237
Appendix B.Properties of Young projections 239
H. Elvang and P. Cvitanovi´c
B.1 Uniqueness of Young projection operators 239
B.2 Orthogonality 240
B.3 Normalization and completeness 240
B.4 Dimension formula 241
Bibliography 243
Index 259

Über Autor(innen)

Predrag Cvitanovic is the Glen P. Robinson Professor of Nonlinear Science at the Georgia Institute of Technology. He is the author of Universality in Chaos and lead author of the ChaosBook.org webbook.