Representation Theory of the Symmetric Groups

The Okounkov-Vershik Approach, Character Formulas, and Partition Algebras

Nonfiction, Science & Nature, Mathematics, Discrete Mathematics, Algebra
Cover of the book Representation Theory of the Symmetric Groups by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli ISBN: 9781139635547
Publisher: Cambridge University Press Publication: February 4, 2010
Imprint: Cambridge University Press Language: English
Author: Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
ISBN: 9781139635547
Publisher: Cambridge University Press
Publication: February 4, 2010
Imprint: Cambridge University Press
Language: English

The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

The representation theory of the symmetric groups is a classical topic that, since the pioneering work of Frobenius, Schur and Young, has grown into a huge body of theory, with many important connections to other areas of mathematics and physics. This self-contained book provides a detailed introduction to the subject, covering classical topics such as the Littlewood–Richardson rule and the Schur–Weyl duality. Importantly the authors also present many recent advances in the area, including Lassalle's character formulas, the theory of partition algebras, and an exhaustive exposition of the approach developed by A. M. Vershik and A. Okounkov. A wealth of examples and exercises makes this an ideal textbook for graduate students. It will also serve as a useful reference for more experienced researchers across a range of areas, including algebra, computer science, statistical mechanics and theoretical physics.

More books from Cambridge University Press

Cover of the book Atlas of the Galilean Satellites by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Human Rights, State Compliance, and Social Change by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Captives of War by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Applying Graph Theory in Ecological Research by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Politicized Justice in Emerging Democracies by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Wireless Physical Layer Network Coding by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Stakeholder Theory by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Three Homeric Hymns by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book The Cambridge Companion to the Irish Novel by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book The Fascists and the Jews of Italy by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Foundations of Cryptography: Volume 1, Basic Tools by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Contesting World Order? by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Naturalizing Africa by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Concepts in Submarine Design by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
Cover of the book Human Rights in International Relations by Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy