Description

Book Synopsis
The representation theory of the symmetric groups is a classical topic that has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained introduction comprises classical and modern topics, including an exhaustive exposition of the new Okounkov–Vershik approach.

Trade Review
"This beautifully written new book is a welcome addition... It is almost entirely self-contained, only assuming some basic group theory and linear algebra, yet it takes one to the forefront of recent advances in the area. It would be entirely suitable for a single semester or year-long graduate course, as it is replete with examples and exercises of varying difficulty. I suspect it will also find its way on to the shelf as a valuable reference work for researchers in the field, as it is an excellent complement to books of Kleshchev, Sagan, James, and James and Kerber." David John Hemmer, Mathematical Reviews

Table of Contents
Preface; 1. Representation theory of finite groups; 2. The theory of Gelfand–Tsetlin bases; 3. The Okounkov–Vershik approach; 4. Symmetric functions; 5. Content evaluation and character theory; 6. The Littlewood–Richardson rule; 7. Finite dimensional *-algebras; 8. Schur–Weyl dualities and the partition algebra; Bibliography; Index.

Representation Theory of the Symmetric Groups The OkounkovVershik Approach Character Formulas and Partition Algebras 121 Cambridge Studies in Advanced Mathematics Series Number 121

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    A Hardback by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli

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      View other formats and editions of Representation Theory of the Symmetric Groups The OkounkovVershik Approach Character Formulas and Partition Algebras 121 Cambridge Studies in Advanced Mathematics Series Number 121 by Tullio Ceccherini-Silberstein

      Publisher: Cambridge University Press
      Publication Date: 2/4/2010 12:00:00 AM
      ISBN13: 9780521118170, 978-0521118170
      ISBN10: 0521118174
      Also in:
      Discrete mathematics

      Description

      Book Synopsis
      The representation theory of the symmetric groups is a classical topic that has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained introduction comprises classical and modern topics, including an exhaustive exposition of the new Okounkov–Vershik approach.

      Trade Review
      "This beautifully written new book is a welcome addition... It is almost entirely self-contained, only assuming some basic group theory and linear algebra, yet it takes one to the forefront of recent advances in the area. It would be entirely suitable for a single semester or year-long graduate course, as it is replete with examples and exercises of varying difficulty. I suspect it will also find its way on to the shelf as a valuable reference work for researchers in the field, as it is an excellent complement to books of Kleshchev, Sagan, James, and James and Kerber." David John Hemmer, Mathematical Reviews

      Table of Contents
      Preface; 1. Representation theory of finite groups; 2. The theory of Gelfand–Tsetlin bases; 3. The Okounkov–Vershik approach; 4. Symmetric functions; 5. Content evaluation and character theory; 6. The Littlewood–Richardson rule; 7. Finite dimensional *-algebras; 8. Schur–Weyl dualities and the partition algebra; Bibliography; Index.

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