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Representations of Finite Groups
C. Musili, University of Hyderabad, India
A publication of Hindustan Book Agency.
cover
Hindustan Book Agency
2011; 250 pp; softcover
ISBN-10: 93-80250-18-5
ISBN-13: 978-93-80250-18-2
List Price: US$44
Member Price: US$35.20
Order Code: HIN/51
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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 Semi-simple Rings
  • Preliminaries
  • Semi-simple 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 \(D_n\)
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