1.

Record Nr.

UNISA996466867403316

Autore

Erdmann Karin <1948->

Titolo

Blocks of tame representation type and related algebras / / Karin Erdmann

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer, , [1990]

©1990

ISBN

3-540-47115-4

Edizione

[1st ed. 1990.]

Descrizione fisica

1 online resource (XVI, 312 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 1428

Disciplina

512.2

Soggetti

Modular representations of groups

Tame algebras

Group rings

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (pages [307]-312).

Nota di contenuto

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.

Sommario/riassunto

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.