Basic Representation Theory of Algebras
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 starts by introducing and describing several characterisations of the radical of a module category, then...
| Main Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
Cham
Springer International Publishing
2020, 2020
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| Edition: | 1st ed. 2020 |
| Series: | Graduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- 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