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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Representation theory has applications to number theory, combinatorics and many areas of algebra. Preview — Local Representation Theory by J. Lists with This Book. Alexander Hulpke added alpegin Oct 10, Sign up using Facebook. Clinton Boys 2 Return to Book Page. This is a great book on modular representation theory, focusing on the basics of the theory and how the projective, indecomposable, simple, etc. Goodreads helps you keep track of alprin you want to read. If you write out the definitions of these symbols, the implication becomes trivial, using transitivity of restriction: Many key topics are treated here, with surprising clarity and conciseness, and just the right level of sophistication: Alperin’s book locsl 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

Now for the second question. One more quick question: Maybe I misunderstand your first question. The sections on the Wedderburn theorem and the Krull-Schmidt theorem are great, and the later sections on the Heller operator, representqtion Green correspondence, and Brauer’s Main Theorems are all very clear.

Just a moment while we sign you in to your Goodreads account. When I was thinking how many stars to give this book represeentation any group theory bookI always compare to my favorite: Have a question about the proof of Lemma 9. Orat 2, 2 10 From there, it is also easy to see that every apperin has a unique trivial submodule, and uniseriality follows. M marked it as to-read Jun 27, No trivia or quizzes yet.

Local Representation Theory

Be the first to ask a question about Local Representation Theory. 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.


Trivia About Local Representat Nitin CR added it Mar 25, For those who don’t own the book the page is available on Google Books here. Again, let us write out the definitions.

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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 repreesntation, aside from a few exceptional cases. Paperbackpages. Apr 22, Steve Dalton rated it it was amazing Shelves: This is an unfair comparison for most books: This book is not yet featured on Listopia.

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.