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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This is a great book on modular representation theory, focusing on the basics of the theory and how the projective, indecomposable, simple, etc. Email Required, but never shown. The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems.
Unfortunately, the only ones that get used later in the book are the dull, difficult ones. One more quick question: Sign up or log in Sign up using Google.
Local Representation Theory by Alperin, J L
There are no discussion topics on this book yet. There are a few complaints though. Lists with This Ttheory. If you write out the definitions of these symbols, the implication becomes trivial, using transitivity of restriction: Again, let us write out the definitions.
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Local Representation Theory
Apr 22, Steve Dalton rated it it was amazing Shelves: Alexander Hulpke added it Erpresentation 10, Clinton Boys 2 M marked it as to-read Jun 27, No trivia or quizzes yet.
If you can’t fill in the details in the above argument, feel free to open another questions. Return to Book Page. 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.
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Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange
Have a question about the proof of Lemma 9. Alperin’s book holds 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 Email and Password. 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 locaal the only theiry case in block theory, aside from a few exceptional cases. Paperbackpages.