Blocks of Tame Representation Type and Related Algebras

ISBN-13: 9783540527091 / Angielski / Miękka / 1990 / 312 str.

K. Erdmann

Opis

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.

Spis treści

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.