This book serves several purposes. The first and foremost is to give an elementary introduction to the basic concepts of the theory of ordinary representations to finite groups with a minimum of prerequisites. The second purpose, which is also the main theme of this exposition, is to be able to do the theory rather explicitly for the important special case of the symmetric groups \(S_n\) of permutations on \(n\) letters. The third purpose is to use the preparatory material of the first two parts, coupled with the \(S_n\) theory, to do the same for some other important special groups, namely, the alternating group \(A_n\) and the hyperoctahedral groups \(B_n\) and \(D_n\). A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels. Readership General mathematical audience interested in algebra and algebraic geometry. Reviews "The book under review presents an interesting approach to certain aspects of the representation theory of finite groups over the complex field."  Mathematical Reviews Table of Contents Part I. The Structure of Semisimple Rings  Preliminaries
 Semisimple rings and Brauer group
Part II. Representations of Finite Groups  Representations of finite groups
 Induced representations
Part III. Representations of symmetric and alternating groups  Representations of the symmetric group \(S_n\)
 Representations of the alternating group \(A_n\)
Part IV. Representations of the Hyperoctahedral Groups \(B_n\) and \(D_n\)  Representations of the hyperoctahedral group \(B_n\)
 Representations of the hyperoctahedral group \(D_n\)
