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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The aim of this text is to present some of the key results in the representation theory of finite groups by concentrating on local representation theory, and emphasizing module theory throughout. When I was thinking how many stars to give this book or any group theory bookI always compare to my favorite: Alperin’s book holds up on most fronts, except it is a little computational at points, but the explanations and writing style are truly top-notch.

The discussion in the last few sections on Brauer trees and graphs is also very insightful and well-done.

Have a question about the proof of Lemma 9. Be the first to ask a question about Local Representation Theory. The book is organized in an excellent way, going from the general to the specific, with each result being built upon the ones from the previous section s. Maybe I misunderstand akperin first question.

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Local Representation Theory by Alperin, J L

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. 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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M marked it as to-read Jun 27, Unfortunately, the only ones that get used later alperun the book are the dull, difficult ones.

Paperbackpages. Many key topics are treated here, with surprising clarity and conciseness, and just the right level of sophistication: Email Required, but never shown.

Local Representation Theory

Sign up using Facebook. Return to Book Page. This book is not yet featured on Listopia. Lists with This Book. FGT is clear and engaging, with complete proofs that somehow theroy messy details; the exposition flows naturally and many times I would find myself thinking “of course!

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. I find the exposition get a little too involved at points, going through lines of calculation that are easy to gloss over and I definitely did a few timesbut sometimes those calculations are the only way to go.

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Alexander Hulpke added it Oct 10, Again, let us write out the definitions. 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.

To see what your friends thought of this book, please sign up. Apr 22, Steve Dalton rated it it was amazing Shelves: Goodreads helps you keep track of books you want to read. This is an unfair comparison for most books: Refresh and try again.

Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange

For those who don’t own the book the page is lcoal on Google Books here. Nitin CR added it Mar 25, The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems.

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Isaacs’s Finite Group Theory. Representation theory has applications to number theory, combinatorics and many areas of algebra.