Blocks of Tame Representation Type and Related Algebras

Karin Erdmann (auth.)3540527095, 9783540527091, 0387527095

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.

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Table of contents :
Algebras, quivers, representation type, Auslander-Reiten theory, coverings….Pages 1-46
Special biserial algebras and the local semidihedral algebra….Pages 47-79
Tame symmetric local algebras….Pages 80-92
More on modules, quivers, Auslander-Reiten sequences….Pages 93-120
Stable Auslander-Reiten components for tame blocks….Pages 121-158
Algebras of dihedral type….Pages 159-180
Algebras of guaternion type….Pages 181-204
Algebras of semidihedral type….Pages 205-262
Centres, blocks, decomposition numbers….Pages 263-285
Some applications….Pages 286-306