Quiver Representations

Quiver Representations
Author: Ralf Schiffler
Publisher: Springer
Total Pages: 233
Release: 2014-09-04
Genre: Mathematics
ISBN: 3319092049


Download Quiver Representations Book in PDF, Epub and Kindle

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.


Quiver Representations
Language: en
Pages: 233
Authors: Ralf Schiffler
Categories: Mathematics
Type: BOOK - Published: 2014-09-04 - Publisher: Springer

GET EBOOK

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
Quiver Representations and Quiver Varieties
Language: en
Pages: 311
Authors: Alexander Kirillov Jr.
Categories: Mathematics
Type: BOOK - Published: 2016-08-25 - Publisher: American Mathematical Soc.

GET EBOOK

This book is an introduction to the theory of quiver representations and quiver varieties, starting with basic definitions and ending with Nakajima's work on qu
An Introduction to Quiver Representations
Language: en
Pages: 346
Authors: Harm Derksen
Categories: Mathematics
Type: BOOK - Published: 2017-11-29 - Publisher: American Mathematical Soc.

GET EBOOK

This book is an introduction to the representation theory of quivers and finite dimensional algebras. It gives a thorough and modern treatment of the algebraic
Persistence Theory: From Quiver Representations to Data Analysis
Language: en
Pages: 229
Authors: Steve Y. Oudot
Categories: Mathematics
Type: BOOK - Published: 2017-05-17 - Publisher: American Mathematical Soc.

GET EBOOK

Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of t
Introduction to Representation Theory
Language: en
Pages: 240
Authors: Pavel I. Etingof
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

GET EBOOK

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from