Quiver Representations / by Ralf Schiffler

By:

Schiffler, Ralf, 1968- [aut]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC | SpringerLink Bücher | Springer eBook Collection Mathematics and StatisticsPublisher: Cham : Springer, 2014Description: Online-Ressource (XI, 230 p. 357 illus, online resource)ISBN:

9783319092041

Subject(s):

Additional physical formats: 9783319092034 | Erscheint auch als: Quiver representations. Druck-Ausgabe Softcover reprint of the hardcover 1st edition. Cham : Springer, 2014. xi, 230 SeitenDDC classification:

MSC: MSC: *16G20 | 16-01 | 16G70RVK: RVK: SK 230LOC classification:

QA150-272

DOI: DOI: 10.1007/978-3-319-09204-1Online resources:

Summary: 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 neededPPN: PPN: 1659295874Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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