Name: Algebras and Representation Theory (en Inglés)
SKU: 63504847
Price: 51.79 USD
Availability: InStock
Author: Karin Erdmann;Thorsten Holm

portada Algebras and Representation Theory (en Inglés)

Algebras and Representation Theory (en Inglés)

Formato

Libro Físico

Editorial

Springer Nature B.V.

Autor

Karin Erdmann;Thorsten Holm

Año

2018

Idioma

Inglés

N° páginas

310

Encuadernación

Tapa Blanda

Dimensiones

23.4x15.6 cm

ISBN13

9783319919997

Algebras and Representation Theory (en Inglés)

Karin Erdmann;Thorsten Holm (Autor) · Springer Nature B.V. · Tapa Blanda

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Reseña del libro "Algebras and Representation Theory (en Inglés)"

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.

The book starts with basic topics on algebras and modules, covering fundamental results such as the Jordan-Hölder theorem on composition series, the Artin-Wedderburn theorem on the structure of semisimple algebras and the Krull-Schmidt theorem on indecomposable modules. The authors then go on to study representations of quivers in detail, leading to a complete proof of Gabriel’s celebrated theorem characterizing the representation type of quivers in terms of Dynkin diagrams.

Requiring only introductory courses on linear algebra and groups, rings and fields, this textbook is aimed at undergraduate students. With numerous examples illustrating abstract concepts, and including more than 200 exercises (with solutions to about a third of them), the book provides an example-driven introduction suitable for self-study and use alongside lecture courses.