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Does anyone know a good book on Linear Representations of the finite Groups which does not assumes a lot of background. Book which will be good to study for computer science and will cover all( at least most) of the topics covered in Serre's book in first two parts.

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Do you mean that Serre's (= J.-P. Serre) first two chapters assume a lot of background ? This is not my opinion, but you can guess that I am partial. Let me recall that JPS intended to write these chapters for chemists. –  Denis Serre Jun 15 '11 at 7:22
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I agree with Denis Serre. You can hardly do better than J-P. Serre when he wrote this little gem. –  Roland Bacher Jun 15 '11 at 7:29
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if you just want to do calculations with characters, and want something slower paced, then perhaps James and Liebeck's book would be suitable. I agree that Serre's book does not require much background, but it depends what you are after: are you looking for a book to study yourself, or to use while teaching a course, or ...? –  Yemon Choi Jun 15 '11 at 8:16
    
Sorry, I mean first two parts. The first part is written for chemists indeed does not assume any background. I am looking for book making the same way second part. –  user10118 Jun 15 '11 at 8:20
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Have you tried Isaacs book? I haven't looked at it closely, but it seems to cover many of the same topic's Serre does in Part II. (BTW, Part I of Fulton and Harris is also an excellent reference for the basics of LRFG.) –  Kimball Jun 15 '11 at 10:33
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