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Irreducible and Reducible Representations of the Symmetric Group

Language EnglishEnglish
Book Paperback
Book Irreducible and Reducible Representations of the Symmetric Group Jason Knight
Libristo code: 06832255
Publishers VDM Verlag, May 2010
Group Representation Theory has many uses in Physics and Chemistry, representations of the symmetric... Full description
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Group Representation Theory has many uses in Physics and Chemistry, representations of the symmetric group being the most widely used. This book introduces Group Representation Theory and discusses various methods in which to calculate representations. The first chapter introduces the subject creating a basis in general terms. The remainder of the book will focus mostly on the symmetric group. The second chapter derives a method to calculate representations of the symmetric group called Young''s natural representation which utilizes the fact that there is a one-to-one correspondence between Specht modules and the irreducible Sn -modules. In the third chapter the complex group algebra is decomposed demonstrating another method for calculating representations of the complex group algebra. These representations are equivalent to the corresponding group representations. In the last chapter multiple methods are discussed which involve inducing representations from known representations.

About the book

Full name Irreducible and Reducible Representations of the Symmetric Group
Author Jason Knight
Language English
Binding Book - Paperback
Date of issue 2010
Number of pages 64
EAN 9783639246780
ISBN 3639246780
Libristo code 06832255
Publishers VDM Verlag
Weight 104
Dimensions 152 x 229 x 4
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