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.

Representation theory of the symmetric group / Scarabotti, Fabio; T., Ceccherini Silberstein; F., Tolli. - STAMPA. - 121:(2010).

Representation theory of the symmetric group

SCARABOTTI, Fabio;
2010

Abstract

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.
2010
9780521118170
gelfand-tsetlin bases; partition algebras; representation theory; okounkov-vershik approach; symmetric group; symmetric functions
03 Monografia::03a Saggio, Trattato Scientifico
Representation theory of the symmetric group / Scarabotti, Fabio; T., Ceccherini Silberstein; F., Tolli. - STAMPA. - 121:(2010).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/168244
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