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.
Isaacs’s Finite Group Theory. Representation theory has applications to number theory, combinatorics and many areas of algebra. 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.
Orat 2, 2 10 Lists with This Book. There are a few complaints though. I suggest that we don’t misuse the comments for discussing a totally different question, since they are not at all suited for this purpose. Sign up using Email and Password. Aug 26 ’11 at 3: Open Preview See a Problem? Nitin CR added it Mar 25, No trivia or quizzes yet. Sign up or log in Sign up using Google.
The discussion in the last few sections on Brauer trees and graphs is also very insightful and well-done. Theorg a moment while we sign you in to your Goodreads account.
My only real complaint – without a companion excuse – is that the exercises are a little bit all over the place: From there, it is also easy to see that every indecomposable has a unique trivial submodule, and uniseriality follows. 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 thelry a few timesbut sometimes those calculations are the only way to go.
Apr 22, Steve Dalton rated it it was amazing Shelves: If you write out the definitions of these symbols, the implication becomes trivial, using transitivity of restriction: Post as a guest Name. Goodreads helps you keep track of books you want to read.
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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. Trivia About Local Representat Maybe I misunderstand your first question.
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.
Local Representation Theory by Alperin, J L
Now for the second question. The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems. M marked it as to-read Jun 27, This is an unfair comparison for most books: Again, let us write out the definitions.
Want to Read saving…. Clinton Boys 2 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 locl essentially the only well-understood case in block theory, aside from a teory exceptional cases.