Irreducible and Reducible Representations of the Symmetric Group - Theory and Computations

von Knight, Jason
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Knight, Jason Irreducible and Reducible Representations of the Symmetric Group - Theory and Computations
Knight, Jason - Irreducible and Reducible Representations of the Symmetric Group - Theory and Computations

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Beschreibung

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.

Mitwirkende

Autor:
Knight, Jason

Weitere Informationen

Biografie:
Jason Knight holds a Master of Science in Mathematics as well as a Bachelor of Science in Physics from Tennessee Technological University. He works as a digital simulation developer in Huntsville, AL.
Sprache:
Englisch
Seitenanzahl:
64
Medientyp:
Taschenbuch
Verlag:
VDM Verlag Dr. Müller

Stammdaten

Produkttyp:
Taschenbuch
Verpackungsabmessungen:
0.22 x 0.15 x 0.004 m; 0.145 kg
GTIN:
09783639246780
DUIN:
159C10BIHM9
CHF 49.30
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