Representation theory. A combinatorial viewpoint. (Q5891842)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Representation theory. A combinatorial viewpoint. |
scientific article; zbMATH DE number 6359828
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Representation theory. A combinatorial viewpoint. |
scientific article; zbMATH DE number 6359828 |
Statements
22 October 2014
0 references
finite groups
0 references
representations
0 references
characters
0 references
symmetric groups
0 references
symmetric functions
0 references
polynomial representations
0 references
general linear groups
0 references
Robinson-Schensted-Knuth correspondence
0 references
Schur algebras
0 references
Schur-Weyl duality
0 references
Schur functions
0 references
Representation theory. A combinatorial viewpoint. (English)
0 references
This book discusses the representation theory of symmetric groups, the theory of symmetric functions and the polynomial representation theory of general linear groups.NEWLINENEWLINE The first chapter provides a detailed account of necessary representation-theoretic background for finite groups. An innovative treatment of the Robinson-Schensted-Knuth correspondence and its dual are given in Chapter 2. The author gives 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 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. -- This book is a helpful reference for any beginners who are interested in learning combinatorial representation theory.
0 references
