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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 /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Representation theory of the symmetric groups/ Tullio Ceccherini-Silberstein, Fabio Scarabotti, Filippo Tolli.
其他題名:	the Okounkov-Vershik approach, character formulas, and partition algebras /
作者:	Ceccherini-Silberstein, Tullio.
其他作者:	Scarabotti, Fabio.
出版者:	Cambridge :Cambridge University Press, : 2010.,
面頁冊數:	xv, 412 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
內容註:	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.
標題:	Symmetry groups. -
電子資源:	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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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
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856 4 0 $u https://doi.org/10.1017/CBO9781139192361