Frobenius Categories versus Brauer Blocks von Lluís Puig | The Grothendieck Group of the Frobenius Category of a Brauer Block | ISBN 9783764399979

Frobenius Categories versus Brauer Blocks

The Grothendieck Group of the Frobenius Category of a Brauer Block

von Lluís Puig
Buchcover Frobenius Categories versus Brauer Blocks | Lluís Puig | EAN 9783764399979 | ISBN 3-7643-9997-X | ISBN 978-3-7643-9997-9

From the reviews:

“The concept of Frobenius category (also called saturated fusion system) has been developed by Lluis Puig many years ago. … This volume is a research monograph containing many original results which appear for the first time in print … . The book ends with Appendix developing the author’s point of view on cohomology of small categories. … the book is a necessary tool for any researcher in the field.” (Andrei Marcus, Studia Universitatis Babes-Bolyai, Mathematica, Vol. LV (4), December, 2010)

“In recent years a new concept–called Frobenius category by Puig and fusion system by others–has become very successful in the representation theory of finite groups. … the book gives an account of the early developments and definitions presented by Puig, as they were given in his first manuscripts. This certainly is of great importance because it makes the first, original definitions of Puig accessible to a wide audience.” (Alexander Zimmermann, Mathematical Reviews, Issue 2010 j)

Frobenius Categories versus Brauer Blocks

The Grothendieck Group of the Frobenius Category of a Brauer Block

von Lluís Puig
First book introducing the abstract setting of the Frobenius categories for the understanding of blocks of the finite groups First text giving a reduction theorem allowing a proof of the Alperin’s Weight Conjecture from the quasi-simple groups First text exhibiting from local data a Grothendieck Group for blocks of the finite groups Includes supplementary material: sn. pub/extras