國立虎尾科技大學 |

Representation theory : = a combinatorial viewpoint /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Representation theory :/ Amritanshu Prasad, the Institute of Mathematical Sciences, Chennai.
其他題名:	a combinatorial viewpoint /
作者:	Prasad, Amritanshu,
面頁冊數:	1 online resource (xii, 191 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Combinatorial group theory. -
電子資源:	https://doi.org/10.1017/CBO9781139976824
ISBN:	9781139976824 (ebook)

Representation theory : = a combinatorial viewpoint /
Prasad, Amritanshu,

Representation theory :a combinatorial viewpoint /Amritanshu Prasad, the Institute of Mathematical Sciences, Chennai. - 1 online resource (xii, 191 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;147. - Cambridge studies in advanced mathematics ;134..

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

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: 9781139976824 (ebook)Subjects--Topical Terms:

672565
Combinatorial group theory.

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

Dewey Class. No.: 515/.7223

Representation theory : = a combinatorial viewpoint /
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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.
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