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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Post as a guest Name. When I was thinking how many stars to give this book or any group theory bookI always compare to my favorite: 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! 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.

Preview — Local Representation Theory by J. Mathematics Stack Exchange works best with JavaScript enabled. 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.

Just a moment while we sign you in to your Goodreads account. There are a few complaints though. Home Questions Tags Users Unanswered. Lists with This Book. Orat 2, 2 10 Nitin CR added it Mar 25, Clinton Boys 2 Unfortunately, the only ones that get used later in the book are the dull, difficult ones.

To ask other readers questions about Reprresentation Representation Theoryplease sign up. Goodreads helps you keep track of books you want to read. Aug 26 ’11 at 3: Have a question about the proof of Lemma 9. To see what your friends thought of this book, please sign up. If you can’t fill in the details in the above argument, feel free to open another questions.

## Local Representation Theory

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Want to Read Currently Reading Read. One more quick question: Return to Book Page. 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.

No trivia or quizzes yet. Now for the second question.

### Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange

Apr 22, Steve Dalton rated it it was amazing Shelves: 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. Many key topics are treated here, with surprising clarity and conciseness, and just the right level of sophistication: 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.

Alexander Hulpke added it Oct 10, From there, it is also easy to see that every indecomposable has a unique trivial submodule, and uniseriality follows. The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems.