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Representation Theory of Finite Groups and Associative Algebras


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Click here to buy Representation Theory of Finite Groups and Associative Algebras by  Charles W. Curtis and Irving Reiner. Representation Theory of Finite Groups and Associative Algebras
by Charles W. Curtis and Irving Reiner
Sales Rank: 1345423
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List Price: $89.00
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on 12-6-2008
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  • Hardcover: 689 pages
  • Publisher: American Mathematical Society March 21, 2006
  • Language: English
  • ISBN-10: 0821840665
  • ISBN-13: 978-0821840665
  • Product Dimensions: 10.2 x 7.1 x 1.7 inches
  • Shipping Weight: 3.2 pounds

    Product Description
    First published in 1962, this classic book remains a remarkably complete introduction to various aspects of the representation theory of finite groups. One of its main advantages is that the authors went far beyond the standard elementary representation theory, including a masterly treatment of topics such as general non-commutative algebras, Frobenius algebras, representations over non-algebraically closed fields and fields of non-zero characteristic, and integral representations. These and many other subjects are treated extremely thoroughly, starting with basic definitions and results and proceeding to many important and crucial developments. Numerous examples and exercises help the reader of this unsurpassed book to master this important area of mathematics.

    Publisher Description
    This book offers a self-contained and up-to-date account of the representation theory of finite groups and associative rings and algebras. It pays particular attention to the theory of induced characters and induced representations, quasi-Frobenius rings and Frobenius algebras, integral representations, and the theory of modular representations. While emphasizing general methods and building the theory on the study of modules over rings with minimal condition, the book features enough examples and problems to help the researcher who needs to compute explicit representations for particular groups. In addition, the text includes some applications of group representations to the structure theory of finite groups, and a survey of current literature dealing with these applications. Neither encyclopedic nor historical in nature, this work concentrates instead on the most important and fruitful results, yet includes as much preliminary material as necessary for their proofs. --This text refers to an out of print or unavailable edition of this title.

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