An Introduction to Quiver Representations

An Introduction to Quiver Representations
Author :
Publisher : American Mathematical Soc.
Total Pages : 346
Release :
ISBN-10 : 9781470425562
ISBN-13 : 1470425564
Rating : 4/5 (564 Downloads)

Book Synopsis An Introduction to Quiver Representations by : Harm Derksen

Download or read book An Introduction to Quiver Representations written by Harm Derksen and published by American Mathematical Soc.. This book was released on 2017-11-29 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 approach based on Auslander-Reiten theory as well as the approach based on geometric invariant theory. The material in the opening chapters is developed starting slowly with topics such as homological algebra, Morita equivalence, and Gabriel's theorem. Next, the book presents Auslander-Reiten theory, including almost split sequences and the Auslander-Reiten transform, and gives a proof of Kac's generalization of Gabriel's theorem. Once this basic material is established, the book goes on with developing the geometric invariant theory of quiver representations. The book features the exposition of the saturation theorem for semi-invariants of quiver representations and its application to Littlewood-Richardson coefficients. In the final chapters, the book exposes tilting modules, exceptional sequences and a connection to cluster categories. The book is suitable for a graduate course in quiver representations and has numerous exercises and examples throughout the text. The book will also be of use to experts in such areas as representation theory, invariant theory and algebraic geometry, who want to learn about applications of quiver representations to their fields.


An Introduction to Quiver Representations Related Books

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
Representation
Language: en
Pages: 422
Authors: Stuart Hall
Categories: Business & Economics
Type: BOOK - Published: 1997-04-08 - Publisher: SAGE

GET EBOOK

This broad-ranging text offers a comprehensive outline of how visual images, language and discourse work as `systems of representation'. Individual chapters exp
Meaning and Mental Representations
Language: en
Pages: 252
Authors: Umberto Eco
Categories: Semantics
Type: BOOK - Published: 1988 - Publisher: Indiana University Press

GET EBOOK

..". an excellent collection... " -- Journal of Language Social Psychology An important collection of original essays by well-known scholars debating the questi
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
Representations
Language: en
Pages: 357
Authors: Jerry A. Fodor
Categories: Psychology
Type: BOOK - Published: 1983 - Publisher: MIT Press

GET EBOOK

These essays will shape discussion in the philosophy of psychology for years to come. A collection of eleven essays dealing with methodological and empirical is