半单李代数及其表示Semi-simple Lie algebras and their representations

DesignedtoacquaintstudentsofparticlephysicsalreadyfamiliarwithSU(2)andSU(3)withtechniquesapplicabletoallsimpleLiealgebras,thistextisespeciallysuitedtothestudyofgrandunificationtheories.AuthorRobertN.Cahn,whoisaffiliatedwiththeLawrenceBerkeleyNationalLaboratoryinBerkeley,California,hasprovidedanewprefaceforthisedition.Subjectsincludethekillingform,thestructureofsimpleLiealgebrasandtheirrepresentations,simplerootsandtheCartanmatrix,theclassicalLiealgebras,andtheexceptionalLiealgebras.AdditionaltopicsincludeCasimiroperatorsandFreudenthal'sformula,theWeylgroup,Weyl'sdimensionformula,reducingproductrepresentations,subalgebras,andbranchingrules.1984ed.