| 书目名称 | On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks | | 编辑 | Lluís Puig Carreres | | 视频video | | | 丛书名称 | Progress in Mathematics | | 图书封面 |  | | 描述 | .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 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.. | | 出版日期 | Book 1999 | | 关键词 | Equivalence; Finite; Group theory; Gruppentheorie; Invariant; algebra; classification; group; set | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8693-2 | | isbn_softcover | 978-3-0348-9732-7 | | isbn_ebook | 978-3-0348-8693-2Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Springer Basel AG 1999 |
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发表于 2025-3-21 19:27:09
