Iintroduction to Groups, Invariants and Particles

F. Kirk

Table of contents :
CONTENTS……Page 3
PRE FACE……Page 5
INT RODUC TION……Page 7
GALOIS GROUPS……Page 10
SOME ALGEBRAIC INVARIANTS……Page 21
SOME INVARIANTS OF PHYSICS……Page 29
GROUPS — CONCRETE AND ABSTRACT……Page 43
LIE’S DIFFERENTIAL EQUATION, INFINITESIMAL ROTATIONS AND ANGULAR MOMENTUM OPERATORS……Page 56
LIE ’S CO NTINU OUS T RANSF ORMAT ION G ROUPS……Page 67
PROPERTIES OF n-VARIABLE, r-PARAMETER LIE GROUPS……Page 77
MATRIX REPRESENTATIONS OF GROUPS……Page 82
SOM E LIE GROU PS OF TRAN SFORM ATION S……Page 93
THE GROU P STR UCTUR E OF LOREN TZ TR ANSFO RMATI ONS……Page 106
ISO SPIN……Page 113
GROUPS AND THE STRUCTURE OF MATTER……Page 126
LIE GROU PS AN D THE CONS ERVAT ION L AWS O F THE PHY SICAL UNIV ERSE……Page 156
BIB LIOGR APHY……Page 161