ABSTRACT
ThearefourinfiniteseriesofsimpleLiealgebras,generatingwhatarecalled theclassicalgroups.ThefirstoftheseconsistsoftheSU(N)algebrasthat wehavestudiedalready.TheirDynkindiagramshavetheform
0-0···0--0(19.1) TheranknalgebraSU(n+1)wascalledAnbyCartan,whofirstclassified thesethings.Inthisbriefsection,wewillgoovertheothersverylightly, beforewedothecompleteclassification.Later,wewilldiscusseachofthem indetail.
