Representation Theory ∗ Its Rise and Its Role in Number Theory
R. P. Langlands · 1990
Byrepresentationtheoryweunderstandtherepresentationofagroupbylineartransformationsofavectorspace. Initially,thegroupisfinite,asintheresearchesofDedekind andFrobenius,twoofthefoundersofthesubject,oracompactLiegroup,asinthetheoryof invariantsandtheresearchesofHurwitzandSchur,andthevectorspacefinitedimensional,