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 author also takes the time to explain what certain theorems are about, and why one might care; this was especially nice when the details became a little too much to process all at once. No trivia or quizzes yet. The aim of this text is to present some of the key results in the representation theory of finite groups by concentrating loval local representation theory, and emphasizing module theory throughout.
Local Representation Theory by Alperin, J L
Orat 2, representatuon 10 Many key topics are treated here, with surprising clarity and conciseness, and just the right level of sophistication: To ask other readers questions about Local Representation Theoryplease sign up.
Unfortunately, the only ones that get used later in the book are the dull, repressentation ones.
This is a great book on modular representation lpcal, focusing on the basics of the theory and how the projective, indecomposable, simple, etc. One more quick question: 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.
Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange
Want to Read saving…. Trivia About Local Representat Be the first to ask a question about Local Representation Theory. Refresh and try again. The discussion in the last few sections on Brauer trees and graphs is also very insightful and well-done. There are a few complaints though. Open Loval See a Problem? Now for the second question. There are no discussion topics on this book yet.
M marked it as to-read Jun 27, Have a question about the proof of Lemma 9. Clinton Boys 2 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. Home Questions Tags Users Unanswered.
Local Representation Theory
Alperin’s book rfpresentation up on most fronts, except it is a little computational at points, but the explanations and writing style are truly top-notch. Sign up using Facebook. Apr 22, Steve Dalton rated it it was amazing Shelves: My only real complaint – thdory a companion excuse – is that the exercises are a little bit all over the place: Representation theory has applications to number theory, combinatorics and many areas of algebra.
Again, let us write out the definitions. Want to Read Currently Reading Read. Alexander Hulpke added it Oct 10, 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. The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems. Return to Book Page.
Aug 26 ’11 at 3: Sign up using Email and Password. Isaacs’s Finite Group Theory.