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AuthorErdmann, Karin. author
TitleBlocks of Tame Representation Type and Related Algebras [electronic resource] / by Karin Erdmann
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
Connect tohttp://dx.doi.org/10.1007/BFb0084003
Descript XVI, 312 p. online resource

SUMMARY

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


CONTENT

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


Mathematics Group theory Mathematics Group Theory and Generalizations



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