株式会社極東書店トップ ＞ 商品一覧 ＞ On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Softcover reprint of the original 1st ed. 1999.
商品詳細
On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Softcover reprint of the original 1st ed. 1999.
・ISBN 978-3-0348-9732-7 paper EUR 49.99
￥13,361.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
| 著者・編者 | Puig, Lluis, |
|---|---|
| シリーズ | Progress in Mathematics |
| 出版社 | (Springer Basel, SZ) |
| 出版年月 | 2012 |
| ページ数 | 261 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-17459＞ |
解説
Brauer had already introduced the defect of a block and opened the way towards a classification by solving all the problems in defects zero and one, and by providing some evidence for the finiteness of the set of blocks with a given defect. In 1959 he discovered the defect group, and in 1964 Dade determined the blocks with cyclic defect groups.
In 1978 Alperin and Broue discovered the Brauer category, and Broue 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.