Basic Representation Theory of Algebras

Name: Basic Representation Theory of Algebras
Brand: Springer Nature Switzerland AG
SKU: 9783030991401
Price: 17689 HUF
Availability: InStock

Szerző: Ibrahim Assem, Flávio U. Coelho

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Nature Switzerland AG

Elérhetőség: Beszállítói készleten

Küldés 5-8 napon belül

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This textbook introduces the representation theory of algebras by focusing on two of its most import...

Információk a könyvről

Szerző

Ibrahim Assem, Flávio U. Coelho

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2022

oldal

311

EAN

9783030991401

Enbook ID

38783248

Kiadó

Springer Nature Switzerland AG

Súly

498

Méretek

155 x 235 x 18

Teljes leírás

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. 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. The book ends with selected properties of representation-finite algebras, which are now the best understood class of algebras. 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.

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