主要包括：SCOPE OF THE THEORY、REPRESENTATIONS OF SU(2),SL(2,R),AND、C VECTORS AND THE UNIVERSAL ENVELOPING ALGEBRA、REPRESENTATIONS OF COMPACT LIE GROUPS、HOLOMORPHIC DISCRETE SERIES、INDUCED REPRESENTATIONS、ADMISSIBLE REPRESENTATIONS、CONSTRUCTION OF DISCRETE SERIES、GLOBAL CHARACTERS、EXHAUSTION OF DISCRETE SERIES、PLANCHEREL FORMULA、IRREDUCLBLE TEMPERED REPRESENTATIONS、MINIMAL K TYPES、UNITARY REPRESENTATIONS等。

CHAPTER 1 SCOPE OF THE THEORYCHAPTER 2 REPRESENTATIONS OF SU(2),SL(2,R),ANDCHAPTER 3 C VECTORS AND THE UNIVERSAL ENVELOPING ALGEBRACHAPTER 4 REPRESENTATIONS OF COMPACT LIE GROUPSCHAPTER 5 STRUCTURE THEORY FOR NONCOMPACT GROUPSCHAPTER 6 HOLOMORPHIC DISCRETE SERIESCHAPTER 7 INDUCED REPRESENTATIONSCHAPTER 8 ADMISSIBLE REPRESENTATIONSCHAPTER 9 CONSTRUCTION OF DISCRETE SERIESCHAPTER 10 GLOBAL CHARACTERSCHAPTER 11 INTRODUCTION TO PLANCHEREL FORMULACHAPTER 12 EXHAUSTION OF DISCRETE SERIESCHAPTER 13 PLANCHEREL FORMULACHAPTER 14 IRREDUCLBLE TEMPERED REPRESENTATIONSCHAPTER 15 MINIMAL K TYPESCHAPTER 16 UNITARY REPRESENTATIONSAPPENDIX A: ELEMENTARY THEORY OF LIE GROUPSAPPENDIX B:REGULAR SINGULAR POINTS OF PARTIAL DIFFERENTIAL EQUATIONSAPPENDIX C:ROOTS AND RESTRICTED ROOTS FOR CLASSICAL GROUPSNOTESREFERENCESINDEX OF NOTATIONINDEX