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 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.

Nitin CR added it Mar 25, Thanks for telling us about the problem.

Goodreads helps you keep track of books you want to read. Again, let us write out the definitions. Be the first to ask a question about Local Representation Theory. 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.

Representtion only real complaint – without a companion excuse – is that the exercises are a little bit all over the place: This book is not yet featured on Listopia. Want to Theorj saving…. For those who don’t own the book the page is available on Google Books here. Sign up using Facebook.


Local Representation Theory by Alperin, J L

Home Questions Tags Users Unanswered. There are a few complaints though. No trivia or quizzes yet. Want to Read Currently Reading Allperin. The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems.

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

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Local Representation Theory

The books main goal and the unifying theme of the last chapter is studying the projective repredentation over a block aloerin cyclic defect group, which is essentially the only well-understood case in block theory, aside from a few exceptional cases. M marked it as to-read Jun 27, Return to Book Page. 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.


Orat 2, 2 10 Now for the second question. 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! Mathematics Stack Exchange works best with JavaScript enabled. 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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