Quiver
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Quiver Representations And Quiver Varieties
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Author : Alexander Kirillov Jr.
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-25
Quiver Representations And Quiver Varieties written by Alexander Kirillov Jr. and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-25 with Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes) categories.
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 finite type. Here the exposition is mostly self-contained and all important proofs are presented in detail. The second part contains the more recent topics of quiver theory that are related to quivers of infinite type: Coxeter functor, tame and wild quivers, McKay correspondence, and representations of Euclidean quivers. In the third part, topics related to geometric aspects of quiver theory are discussed, such as quiver varieties, Hilbert schemes, and the geometric realization of Kac–Moody algebras. Here some of the more technical proofs are omitted; instead only the statements and some ideas of the proofs are given, and the reader is referred to original papers for details. The exposition in the book requires only a basic knowledge of algebraic geometry, differential geometry, and the theory of Lie groups and Lie algebras. Some sections use the language of derived categories; however, the use of this language is reduced to a minimum. The many examples make the book accessible to graduate students who want to learn about quivers, their representations, and their relations to algebraic geometry and Lie algebras.
Quiver Representations
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Author : Ralf Schiffler
language : en
Publisher: Springer
Release Date : 2014-09-04
Quiver Representations written by Ralf Schiffler and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Mathematics categories.
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
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Author : Julia Watts
language : en
Publisher: Mitten Press
Release Date : 2018
Quiver written by Julia Watts and has been published by Mitten Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Young Adult Fiction categories.
This compelling LBGTQ novel by LAMBDA award-winning author Watts explores the unlikely friendship between Libby, the oldest child in a rural Tennessee family of strict evangelical Christians, and Zo, her gender fluid new neighbor.
Persistence Theory From Quiver Representations To Data Analysis
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Author : Steve Y. Oudot
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-05-17
Persistence Theory From Quiver Representations To Data Analysis written by Steve Y. Oudot and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-17 with categories.
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 the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.
An Introduction To Quiver Representations
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Author : Harm Derksen
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-11-29
An Introduction To Quiver Representations written by Harm Derksen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-29 with Directed graphs categories.
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.
The Quiver
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Author :
language : en
Publisher:
Release Date : 1904
The Quiver written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1904 with categories.
The Quiver
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Author :
language : en
Publisher:
Release Date : 1865
The Quiver written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with categories.
Quiver
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Author : Stephanie Spinner
language : en
Publisher: Laurel Leaf
Release Date : 2007-12-18
Quiver written by Stephanie Spinner and has been published by Laurel Leaf this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-18 with Young Adult Fiction categories.
Greek gods and mortals spring to life in this riveting retelling of the myth of Atalanta, the fleet-footed girl warrior who could outrun any man in ancient Greece. Cast off and abandoned at birth, Atalanta– saved by a she-bear and raised by hunters–proves herself to be a superior archer and the fastest runner in the land. But her skills and independence anger many, including her father, the Arcadian King, who suddenly reclaims her and demands that she produce an heir to the throne. Atalanta has pledged herself to Artemis, goddess of the hunt, who has forbidden her to marry. Unwilling to break her promise, Atalanta suggests a grim compromise: she will marry the first man to beat her in a race, but everyone she defeats must die. All the while, Artemis, Apollo, Aphrodite, Eros, and Zeus himself watch–and interfere–from on high.
Quiver
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Author : Ed Merwede
language : en
Publisher: Xlibris Corporation
Release Date : 2018-03-09
Quiver written by Ed Merwede and has been published by Xlibris Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-09 with Fiction categories.
An archer, just like any other marksman, takes pride in his ability, always trying to extend the limit of his targets, many times becoming an obsession. This is the story of an archer. And I am sure it will make you quiver!
A Quiver Full Of Arrows
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Author : Jeffrey Archer
language : en
Publisher: Pan Macmillan
Release Date : 2008-09-04
A Quiver Full Of Arrows written by Jeffrey Archer and has been published by Pan Macmillan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-09-04 with Fiction categories.
Quiver Full of Arrows is a collection of twelve exciting short stories from bestselling author, Jeffrey Archer. Two friends fall under the spell of a New York beauty – with an unexpected outcome. A casual remark is taken seriously by a Chinese sculptor, and the British Ambassador becomes the owner of a priceless work of art . An insurance claims adviser has a most surprising encounter on the train home to Sevenoaks. This marvellous collection of twelve stories ends with a hauntingly written, atmospheric account of two undergraduates at Oxford in the 1930s, a tale of bitter rivalry that ends in a memorable love story.