| Algebras and Representation Theory 2018 Edition Contributor(s): Erdmann, Karin (Author), Holm, Thorsten (Author) |
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ISBN: 3319919970 ISBN-13: 9783319919973 Publisher: Springer OUR PRICE: $36.09 Product Type: Paperback - Other Formats Published: September 2018 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - Abstract - Mathematics | Group Theory |
| Dewey: 512.2 |
| Series: Springer Undergraduate Mathematics |
| Physical Information: 0.65" H x 6.14" W x 9.21" (0.96 lbs) 298 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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-H lder 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. |