東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Representation theory = a combinator...

Prasad, Amritanshu.

Linked to FindBook

Google Book

Amazon

博客來

Representation theory = a combinatorial viewpoint /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representation theory/ Amritanshu Prasad.
Reminder of title:	a combinatorial viewpoint /
Author:	Prasad, Amritanshu.
Published:	Cambridge :Cambridge University Press, : 2015.,
Description:	xii, 191 p. :ill., digital ;24 cm.
Subject:	Combinatorial group theory. -
Online resource:	https://doi.org/10.1017/CBO9781139976824
ISBN:	9781139976824

Representation theory = a combinatorial viewpoint /
Prasad, Amritanshu.

Representation theorya combinatorial viewpoint /[electronic resource] :Amritanshu Prasad. - Cambridge :Cambridge University Press,2015. - xii, 191 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;147. - Cambridge studies in advanced mathematics ;147..

This book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson-Schensted-Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur-Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.

ISBN: 9781139976824Subjects--Topical Terms:

546775
Combinatorial group theory.

LC Class. No.: QA182.5 / .P73 2015

Dewey Class. No.: 515.7223

Representation theory = a combinatorial viewpoint /
LDR:01805nmm a2200253 a 4500 001 2182989
003 UkCbUP
005 20151005020623.0
006 m d
007 cr nn 008maaau
008 191203s2015 enk o 1 0 eng d
020 $a 9781139976824 $q (electronic bk.)
020 $a 9781107082052 $q (paper)
035 $a CR9781139976824
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA182.5 $b .P73 2015
082 0 4 $a 515.7223 $2 23
090 $a QA182.5 $b .P911 2015
100 1 $a Prasad, Amritanshu. $3 3391845
245 1 0 $a Representation theory $h [electronic resource] : $b a combinatorial viewpoint / $c Amritanshu Prasad.
260 $a Cambridge : $b Cambridge University Press, $c 2015.
300 $a xii, 191 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 147
520 $a This book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups. The first chapter provides a detailed account of necessary representation-theoretic background. An important highlight of this book is an innovative treatment of the Robinson-Schensted-Knuth correspondence and its dual by extending Viennot's geometric ideas. Another unique feature is an exposition of the relationship between these correspondences, the representation theory of symmetric groups and alternating groups and the theory of symmetric functions. Schur algebras are introduced very naturally as algebras of distributions on general linear groups. The treatment of Schur-Weyl duality reveals the directness and simplicity of Schur's original treatment of the subject. In addition, each exercise is assigned a difficulty level to test readers' learning. Solutions and hints to most of the exercises are provided at the end.
650 0 $a Combinatorial group theory. $3 546775
650 0 $a Representations of groups. $3 519598
650 0 $a Symmetry groups. $3 523813
650 0 $a Symmetric functions. $3 550181
830 0 $a Cambridge studies in advanced mathematics ; $v 147. $3 3391846
856 4 0 $u https://doi.org/10.1017/CBO9781139976824