Basic Representation Theory of Algebras

Basic Representation Theory of Algebras

Author:
Ibrahim Assem, Flavio Coelho
This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander–Reiten theory and the study of the radical of a module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory.
293.00 zł
Publishing date:
2020
Delivery:
2 days
Publisher:
Springer Nature Customer Service Center GmbH
Number of pages:
311
Publication form:
hardback
Language:
English
Edition:
ISBN:
9783030351175
Categories:
Algebra
This textbook introduces the representation theory of algebras by focusing on two of its most important aspects: the Auslander–Reiten theory and the study of the radical of a module category. It then turns to the study of endomorphism algebras, leading on one hand to the definition of the Auslander algebra and on the other to tilting theory.

Introduction.- Chapter 1: Modules, algebras and quivers.- Chapter 2: The radical and almost split sequences.- Chapter 3: Constructing almost split sequences.- Chapter 4: The Auslander-Reiten quiver of an algebra.- Chapter 5: Endomorphism algebras.- Chapter 6: Representation-finite algebras.- Bibliography.- Index.