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Blocks of Tame Representation Type and Related Algebras [electronic resource] / by Karin Erdmann.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1428Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1990Description: XVI, 312 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540471158
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 512.2 23
LOC classification:
  • QA174-183
Online resources:
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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