Blocks of tame representation type and related algebras
著者
書誌事項
Blocks of tame representation type and related algebras
（Lecture notes in mathematics, 1428）
Springer-Verlag, c1990
- : gw
- : us
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注記
Includes bibliographical references
内容説明・目次
内容説明
This monograph studies algebras that are associated to blocks of tame representation type. Over the past few years, a range of new results have been obtained and a comprehensive account of these is provided here to- gether with some new proofs of known results. Some general theory of algebras is also presented, as a means of understanding the subject. The book is addressed to researchers and graduate students interested in the links between representations of finite-dimensional algebras and modular group representation theory. The basic properties of modules and finite-dimensional algebras are assumed known.
目次
Algebras, quivers, representation type, Auslander-Reiten theory, coverings.- Special biserial algebras and the local semidihedral algebra.- Tame symmetric local algebras.- More on modules, quivers, Auslander-Reiten sequences.- Stable Auslander-Reiten components for tame blocks.- Algebras of dihedral type.- Algebras of guaternion type.- Algebras of semidihedral type.- Centres, blocks, decomposition numbers.- Some applications.
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