| 书目名称 | Quiver Representations |
| 编辑 | Ralf Schiffler |
| 视频video | |
| 概述 | First textbook on representation theory which uses the quiver representations approach.Much shorter than other texts on the subject and is meant as a textbook for a one semester course.Explicit constr |
| 丛书名称 | CMS Books in Mathematics |
| 图书封面 |  |
| 描述 | This book is intended to serve as a textbook for a course in Representation Theory of Algebras at the beginning graduate level. The text has two parts. In Part I, the theory is studied in an elementary way using quivers and their representations. This is a very hands-on approach and requires only basic knowledge of linear algebra. The main tool for describing the representation theory of a finite-dimensional algebra is its Auslander-Reiten quiver, and the text introduces these quivers as early as possible. Part II then uses the language of algebras and modules to build on the material developed before. The equivalence of the two approaches is proved in the text. The last chapter gives a proof of Gabriel’s Theorem. The language of category theory is developed along the way as needed. |
| 出版日期 | Textbook 2014 |
| 关键词 | Associative algebra; Auslander-Reiten theory; Gabriel‘s theorem; Module; Quiver representation; combinato |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-09204-1 |
| isbn_softcover | 978-3-319-36317-2 |
| isbn_ebook | 978-3-319-09204-1Series ISSN 1613-5237 Series E-ISSN 2197-4152 |
| issn_series | 1613-5237 |
| copyright | Springer International Publishing Switzerland 2014 |
发表于 2025-3-21 17:56:12
