Quiver Representations (Hardcover)

Name: Quiver Representations
Author: Ralf Schiffler

von Ralf Schiffler Verlag: Springer International Publishing

2014 - Erschienen 19.09.2014 - Gebunden, 244 Seiten, 241mm x 160mm x 19mm, Sprache(n): eng

Print on Demand. Lieferbar innerhalb von 7 bis 10 Tagen

First textbook on representation theory which uses the quiver representations approachMuch shorter than other texts on the subject and is meant as a textbook for a one semester courseExplicit constructions of Auslander-Reiten quivers are givenIncludes supplementary material: sn.pub/extras

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.

Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.

Ralf Schiffler is a Professor in the Department of Mathematics at the University of Connecticut.

Produktart:

📚 Bücher

Anbieter:

MARZIES Buch- und Medienhandel

Bestell-Nr.:

A22631896

Kategorie(n):

ISBN:

3319092030

EAN:

9783319092034