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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Orat 2, 2 10 For those who don’t own the book the page is available on Google Books represfntation. Sign up using Email and Password. Maybe I misunderstand your first question.

There are a few reprdsentation though. Preview — Local Representation Theory by J. Post as a guest Name. Isaacs’s Finite Group Theory. No trivia or quizzes yet.

By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service. This is a great book on modular representation theory, focusing on the basics of the theory and how the projective, indecomposable, simple, etc. The books main goal and the unifying theme of the last chapter is studying the projective indecomposables over a block with cyclic defect group, which is essentially the only well-understood case in block theory, aside from a few exceptional cases.

Nitin CR added it Mar 25, 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. To see what your friends thought of this book, please sign up. Paperbackpages. 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.


Sign up using Facebook. 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. Thanks for telling us about the problem.

Local Representation Theory

M marked it as representaion Jun 27, Unfortunately, the only ones that get used later in the book are the dull, difficult ones. Aug 26 ’11 at 3: Home Questions Tags Users Unanswered. If you can’t fill in the details in the above repredentation, feel free to open another questions. One more quick question: If you write out the definitions of these symbols, the implication becomes trivial, using transitivity of restriction: There are no discussion topics on this book yet.

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Mathematics Stack Exchange works best with JavaScript enabled. Many key topics are treated here, with surprising clarity and conciseness, and just the right level of sophistication: Refresh and try again.

Representation theory has applications to number theory, combinatorics and many areas of algebra. Just a moment while we sign you in to your Goodreads account. I find the exposition get a little too involved at points, going through lines of calculation that represengation easy to gloss over and I definitely did a few timesbut sometimes those calculations are the only way to go.


The notation also leaves a lot to be desired, but that’s characteristic of representation theory alperij a whole it seems. 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. Want to Read Currently Reading Read. Goodreads helps you keep track of books you want to read. 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.

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Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange

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

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