Basic Representation Theory of Algebras
«“This text is a well-conceived and accessible entry point to the representation theory of finite-dimensional algebras, taking the modern perspective of focussing on morphisms between modules rather than just modules themselves.” (Ryan David Kinser, Mathematical Reviews, December, 2021)»
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 presents the central concepts of irreducible morphisms and almost split sequences, before providing the definition of the Auslander-Reiten quiver, which encodes much of the information on the module category. Les mer
Intended for graduate students in representation theory, this book is also of interest to any mathematician wanting to learn the fundamentals of this rapidly growing field. A graduate course in non-commutative or homological algebra, which is standard in most universities, is a prerequisite for readers of this book.
Detaljer
- Forlag
- Springer Nature Switzerland AG
- Innbinding
- Innbundet
- Språk
- Engelsk
- Sider
- 311
- ISBN
- 9783030351175
- Utgivelsesår
- 2020
- Format
- 24 x 16 cm
Anmeldelser
«“This text is a well-conceived and accessible entry point to the representation theory of finite-dimensional algebras, taking the modern perspective of focussing on morphisms between modules rather than just modules themselves.” (Ryan David Kinser, Mathematical Reviews, December, 2021)»