In 1978 Alperin and Broué discovered the Brauer category, and Broué and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block – and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence.
This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence.
In 1978 Alperin and Broué discovered the Brauer category, and Broué and the author determined the blocks having a nilpotent Brauer category. In 1979, the author discovered the source algebra which determines all the other current invariants, representing faithfully the block – and found its structure in the nilpotent blocks. Recently, the discovery by Rickard that all blocks with the same cyclic defect group and the same Brauer category have the same homotopic category focussed great interest on the new, loose relationship between blocks called Rickard equivalence.
This book describes the source algebra of a block from the source algebra of a Rickard equivalent block and the source of the Rickard equivalence.
On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks
261
On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks
261Paperback(Softcover reprint of the original 1st ed. 1999)
Product Details
| ISBN-13: | 9783034897327 |
|---|---|
| Publisher: | Birkhäuser Basel |
| Publication date: | 10/16/2012 |
| Series: | Progress in Mathematics , #178 |
| Edition description: | Softcover reprint of the original 1st ed. 1999 |
| Pages: | 261 |
| Product dimensions: | 6.10(w) x 9.25(h) x 0.02(d) |