Local Representation Theory has 1 rating and 1 review. Steve said: This is a great book on modular representation theory, focusing on the basics J.L. Alperin. concise treatment of some topics from group theory and representation theory for a one term course. Authors: Alperin, J.L., Bell, Rowen B. Local Structure. Maybe I misunderstand your first question. The source is by definition a module of the vertex, namely the module M for which U | M G. Trivial source in this.

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Representation theory has applications to number theory, combinatorics and kocal areas of algebra. By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

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The book is organized This is a great book on modular representation theory, focusing on the basics of the theory and how the projective, indecomposable, simple, etc. To ask other readers questions about Local Representation Theoryplease sign up.

Local Representation Theory

Sign up or log in Sign up using Google. There are a few complaints though. Goodreads helps you keep track of books you want to read. Have a question about the proof of Lemma 9.

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The discussion in the last few sections on Brauer trees and graphs is also very insightful and well-done. This is a great book on modular representation theory, focusing on the basics represebtation the theory and how the projective, indecomposable, simple, etc.

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Want to Read saving…. No trivia or quizzes yet. Preview — Local Representation Theory by J.

The sections on the Wedderburn theorem and the Krull-Schmidt theorem are great, and the later sections on the Heller operator, the Green correspondence, and Brauer’s Main Theorems are all very clear. Many key topics are treated here, with surprising clarity and conciseness, and just the right level of sophistication: Post Your Answer Discard By clicking “Post Your Answer”, you acknowledge that you have read our updated terms of serviceprivacy policy and cookie policyand that your continued use of the website is subject to these policies.

Open Preview See a Problem? FGT is clear and engaging, with complete proofs that somehow avoid messy details; the exposition flows naturally and many times I would find myself thinking “of course! Lists with This Book. M marked it as to-read Jun 27, Isaacs’s Finite Group Theory.

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Local Representation Theory by Alperin, J L

From there, it is also easy to see that every indecomposable has a unique trivial submodule, and uniseriality follows. When I was thinking reprssentation many stars to give this book or any group theory bookI always compare to my favorite: This is an unfair comparison for most books: There are no discussion topics on this book yet. Trivia About Local Representat One more quick question: Orat 2, 2 10 My only real complaint – without a companion excuse – is that the exercises are a little bit all over the place: Maybe I misunderstand your first question.

Nitin CR added it Mar 25, Want to Read Currently Reading Read. This book is not yet featured on Listopia.

Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange

For those who don’t own the book the page is available on Google Books here. Right then, the author would include a paragraph or two describing the important case to pay attention to, or the general “idea” of the theorem and how it is used. Just a moment while we sign you in to your Goodreads account.