Algebras and Representation Theory is popular PDF and ePub book, written by Karin Erdmann in 2018-09-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Algebras and Representation Theory can be Read Online from any device for your convenience.
Algebras and Representation Theory Book PDF Summary
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.
Detail Book of Algebras and Representation Theory PDF
- Author : Karin Erdmann
- Release : 07 September 2018
- Publisher : Springer
- ISBN : 9783319919980
- Genre : Mathematics
- Total Page : 304 pages
- Language : English
- PDF File Size : 9,8 Mb
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