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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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
Local Representation Theory
Sign up or log in Sign up using Google. If you write out the definitions of these symbols, the implication becomes trivial, using transitivity of restriction: No trivia or quizzes yet.
Maybe I misunderstand your first question. Now for the second question.
Unfortunately, the only ones that get used later in the book are the dull, difficult ones. Email Required, but never shown.
Nitin CR added it Mar 25, There are a few complaints though. Post as a guest Name. From there, it is also easy to see that every indecomposable has a unique trivial submodule, and uniseriality follows. Want to Read Currently Reading Read. The notation also leaves a lot to be desired, but that’s characteristic of representation theory as a whole it seems.
Local Representation Theory by Alperin, J L
FGT is clear and engaging, with complete proofs that somehow avoid repesentation details; the exposition flows naturally allperin many times I would find myself thinking “of course!
Open Preview See a Problem? M marked it as to-read Jun 27, Again, let us write out the definitions. Alexander Hulpke added it Oct 10, One more quick question: Return to Book Page. 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.
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.