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Representation theory of the symmetr...

Ceccherini-Silberstein, Tullio.

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Representation theory of the symmetric groups = the Okounkov-Vershik approach, character formulas, and partition algebras /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representation theory of the symmetric groups/ Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
Reminder of title:	the Okounkov-Vershik approach, character formulas, and partition algebras /
Author:	Ceccherini-Silberstein, Tullio.
other author:	Scarabotti, Fabio.
Published:	Cambridge :Cambridge University Press, : 2010.,
Description:	xv, 412 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
[NT 15003449]:	Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra.
Subject:	Symmetry groups. -
Online resource:	https://doi.org/10.1017/CBO9781139192361
ISBN:	9781139192361

Representation theory of the symmetric groups = the Okounkov-Vershik approach, character formulas, and partition algebras /
Ceccherini-Silberstein, Tullio.

Representation theory of the symmetric groupsthe Okounkov-Vershik approach, character formulas, and partition algebras /[electronic resource] :Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli. - Cambridge :Cambridge University Press,2010. - xv, 412 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;121. - Cambridge studies in advanced mathematics ;121..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra.

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.

ISBN: 9781139192361Subjects--Topical Terms:

523813
Symmetry groups.

LC Class. No.: QA176 / .C43 2010

Dewey Class. No.: 512.2

Representation theory of the symmetric groups = the Okounkov-Vershik approach, character formulas, and partition algebras /
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020 $a 9780521118170 $q (hardback)
020 $a 9781107471917 $q (paperback)
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050 4 $a QA176 $b .C43 2010
082 0 4 $a 512.2 $2 22
090 $a QA176 $b .C387 2010
100 1 $a Ceccherini-Silberstein, Tullio. $3 1245241
245 1 0 $a Representation theory of the symmetric groups $h [electronic resource] : $b the Okounkov-Vershik approach, character formulas, and partition algebras / $c Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
260 $a Cambridge : $b Cambridge University Press, $c 2010.
300 $a xv, 412 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 121
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Representation theory of finite groups -- The theory of Gelfand-Tsetlin bases -- The Okounkov-Vershik approach -- Symmetric functions -- Content evaluation and character theory of the symmetric group -- Radon transforms, Specht modules and the Littlewood-Richardson rule -- Finite dimensional *-algebras -- Schur-Weyl dualities and the partition algebra.
520 $a 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.
650 0 $a Symmetry groups. $3 523813
650 0 $a Representations of groups. $3 519598
700 1 $a Scarabotti, Fabio. $3 1299008
700 1 $a Tolli, Filippo, $d 1968- $3 1299009
830 0 $a Cambridge studies in advanced mathematics ; $v 121. $3 3470548
856 4 0 $u https://doi.org/10.1017/CBO9781139192361