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Representation Theory

- A Combinatorial Viewpoint
Af: Amritanshu Prasad Engelsk Hardback

Representation Theory

- A Combinatorial Viewpoint
Af: Amritanshu Prasad Engelsk Hardback
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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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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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Produktdetaljer
Sprog: Engelsk
Sider: 202
ISBN-13: 9781107082052
Indbinding: Hardback
Udgave:
ISBN-10: 1107082056
Kategori: Diskret matematik
Udg. Dato: 5 feb 2015
Længde: 17mm
Bredde: 162mm
Højde: 240mm
Forlag: Cambridge University Press
Oplagsdato: 5 feb 2015
Forfatter(e): Amritanshu Prasad
Forfatter(e) Amritanshu Prasad

Kategori Diskret matematik

ISBN-13 9781107082052

Sprog Engelsk

Indbinding Hardback

Sider 202

Udgave

Længde 17mm

Bredde 162mm

Højde 240mm

Udg. Dato 5 feb 2015

Oplagsdato 5 feb 2015

Forlag Cambridge University Press