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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Local Representation Theory by Alperin, J L
Now for the second question. Trivia About Local Representat Want to Read Currently Reading Read. 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.
Goodreads helps you keep track of books you want to read. 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. No trivia or quizzes yet. This book is not yet featured on Listopia.
From there, it is also easy to see that every indecomposable has a unique trivial submodule, and uniseriality follows. For those who don’t own the book the page is available on Google Books here. 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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Alperin “Local Representation Theory” Lemma – Mathematics Stack Exchange
Email Required, but never shown. 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.
One more quick question: Open Preview See a Problem? 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.
The aim of this text is to present some of the key results in the representation theory of finite groups by concentrating on local representation theory, and emphasizing module theory throughout. Sign up or log in Sign up using Google. Be the first to ask a question about Local Representation Theory.
There are a few complaints though.
Local Representation Theory
Have a question about the proof of Locall 9.
Isaacs’s Finite Group Theory. 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! To ask other readers questions about Local Representation Theoryplease sign up.
This is an unfair comparison for most books: Nitin CR added it Mar 25, 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.
This is a great book on modular representation theory, focusing on the basics of reppresentation theory and how the projective, indecomposable, simple, etc.
Thanks for telling us about the problem. My only real complaint – without a companion excuse – is that the exercises are a little bit all over the place: When I was thinking how many stars to give this book or any group theory bookI always compare to my favorite: