Groups and Characters

ISBN-13: 9781138401969 / Angielski / Twarda / 2017

Hill

Opis

Group representation theory is both elegant and practical, with important applications to quantum mechanics, spectroscopy, crystallography, and other fields in the physical sciences. Designed as a rapid survey of the subject, this book emphasizes examples and applications of the theorems, and avoids many of the longer and more difficult proofs.

Recenzje

"…rigorous and appropriate…excellent starting point for anyone interested in the theory of groups, representations and characters. Upper division undergraduates through professionals."
-D. S. Larson, Gonzago University in CHOICE

Spis treści

Preface, 1 Introductory Examples, 2 Groups and Subgroups, 3 Point Groups and Cosets, 4 Homomorphisms and Normal Subgroups, 5 Isomorphisms and Automorphisms, 6 Factor Groups, 7 Sylow Subgroups, 8 Permutation Groups, 9 Matrix Groups, 10 Group Representations, 11 Regular Representations, 12 Irreducible Representations, 13 Representations of Abelian Groups, 14 Group Characters, 15 Orthogonality Relations and Character Tables, 16 Reducible Characters, 17 The Burnside Counting Theorem, 18 Real Characters, 19 Induced Characters, 20 The Character Table for S5, 21 Space Groups and Semidirect Products, 22 Proofs of the Sylow Theorems, Bibliography, Index of Symbols, Index

O autorze

Victor E Hill