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Irreducible Characters of the Special Linear Group

Name: Irreducible Characters of the Special Linear Group
Brand: VDM Verlag
SKU: 06830229
Price: 45.89 EUR
Availability: InStock
Author: Trevor Pasanen
ISBN: 9783639224269

Over the Integers Modulo Prime Powers

Trevor Pasanen

Lingua

Inglese

Libro In brossura

Codice Libristo: 06830229

Casa editrice VDM Verlag, gennaio 2010

This book covers the construction of irreducible characters of the 2 by 2 and 3 by 3 special linear... Descrizione completa

Codice Libristo: 06830229

112 b

45.89 €

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This book covers the construction of irreducible characters of the 2 by 2 and 3 by 3 special linear group over the integers modulo a power of an odd prime. In the 2 by 2 case a construction of every irreducible character of this classical group is given, without calculating the character values. The first chapter starts off with a brief introduction into this group and introduces all the necessary character theory. To produce each irreducible character a normal subgroup of our group is found and cleverly mapped into the complex numbers. Clifford Theory is then used to find the irreducible character of interest. After counting all the characters of each degree and comparing them to the number of conjugacy classes it is shown that all the irreducible characters have been found. The last chapter shows that this method can extend to the 3 by 3 case. Throughout the book many details are given to provide clear and concise reasoning.