Blocks of tame representation type and related algebras

Author(s)

• Erdmann, Karin

Bibliographic Information

Blocks of tame representation type and related algebras

Karin Erdmann

（Lecture notes in mathematics, 1428）

Springer-Verlag, c1990

• : gw
• : us

Note

Includes bibliographical references

Description and Table of Contents

Description

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.

Table of 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.

by "Nielsen BookData"

Details

• NCID: BA1054037X
• ISBN:
  • 3540527095
  • 0387527095
• LCCN: 90009911
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin ; Tokyo
• Pages/Volumes: xv, 312 p.
• Size: 25 cm
• Classification:
  • LCC : QA3
  • LCC : QA171
  • DC20 : 510 s
  • DC20 : 512/.2
  • NDC8 : 410.8
  • NDC8 : 411.6
• Subject Headings:
  • LCSH : Modular representations of groups
  • LCSH : Group rings
  • LCSH : Tame algebras
• Parent Bibliography ID:
  • BA00146586