Representation Theory of the Symmetric Groups Ceccherini-Silberstein Scarabotti
Representation Theory of the Symmetric GroupsThe Okounkov-Vershik Approach, Character Formulas, and Partition Algebras\nAuthor(s): Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli\nFormat: Hardback\nPublisher: Cambridge University Press, United Kingdom\nImprint: Cambridge University Press\nISBN-13: 9780521118170, 978-0521118170\nSynopsis\nThe 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 LittlewoodRichardson rule and the SchurWeyl 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. Okounk.
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