Quiver Representations

This book PDF is perfect for those who love Mathematics genre, written by Ralf Schiffler and published by Springer which was released on 04 September 2014 with total hardcover pages 230. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Quiver Representations books below.

Quiver Representations
Quiver Representations
Author : Ralf Schiffler
File Size : 45,9 Mb
Publisher : Springer
Language : English
Release Date : 04 September 2014
ISBN : 9783319092041
Pages : 230 pages
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Quiver Representations by Ralf Schiffler Book PDF 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 needed.

Quiver Representations

Quiver Representations by Ralf Schiffler

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

Get Book
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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 quiver varieties and the geometric realization of Kac–Moody Lie algebras. The first part of the book is devoted to the classical theory of quivers of

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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 the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of

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An Introduction to Quiver Representations

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Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory,

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