Titlebook: Representation Theory of Finite Groups: a Guidebook; David A. Craven Textbook 2019 Springer Nature Switzerland AG 2019 Group representatio

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abreast

CHART

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The Basics,stly to fix notation. We do the module theory first, seeing .-modules and their basic properties. Then we proceed onto character theory, and see the contents of a typical undergraduate course at a U.K. university; orthogonality relations, tensor products, the Artin–Wedderburn theorem, and so on. We

名字

南極

Modules, of modules, and the stable and derived categories. We start with projective modules, and then look at vertices and sources. We then consider the Green correspondence. We define Morita equivalences then study endotrivial modules. Finally we looks at extensions, stable equivalences and then derived e

鞏固

The Local-Global Principle,ach of Brauer’s height-zero conjecture, the McKay and Alperin–McKay conjectures, Alperin’s weight conjecture, Broué’s abelian defect group conjecture, Donovan’s and Puig’s conjectures, Feit’s conjecture, and finally Brauer’s .(.)-conjecture. In each case we summarize what is known about the conjectu

極小

Blocks with Cyclic Defect Groups,he decomposition matrix of the block, then Ext. between simple modules in the block, and indeed the Morita equivalence type of the block (but not the source algebra). We then construct Brauer tree algebras, which are basic algebras that are Morita equivalent to blocks with cyclic defect groups. Afte

aspect

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