Introduction to Representation Theory
In this new chapter, we shift our main emphasis from rings to modules. More specifically, we study modules over finite-dimensional k-algebras, where k is a field. For such an algebra R, R/rad R is a finite-dimensional semisimple k-algebra, whose structure is completely determined by Wedder-burn’s Theorem. Thus, the study of simple (and semisimple) left R-modules is well under control.
KeywordsFinite Group Conjugacy Class Representation Theory Linear Group Irreducible Character
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