Quiver Representations And Quiver Varieties


Quiver Representations And Quiver Varieties
Author: Alexander Kirillov Jr.
Publisher: American Mathematical Soc.
ISBN: 1470423073
Size: 34.12 MB
Format: PDF, Mobi
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Quiver Representations And Quiver Varieties

Quiver Representations And Quiver Varieties by Alexander Kirillov Jr., Quiver Representations And Quiver Varieties Books available in PDF, EPUB, Mobi Format. Download Quiver Representations And Quiver Varieties books, 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 and Quiver Varieties
Language: en
Pages: 295
Authors: Alexander Kirillov Jr.
Categories: Algebraic geometry -- Cycles and subschemes -- Parametrization (Chow and Hilbert schemes)
Type: BOOK - Published: 2016-08-25 - Publisher: American Mathematical Soc.
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
An Introduction to Quiver Representations
Language: en
Pages: 344
Authors: Harm Derksen, Jerzy Weyman
Categories: Directed graphs
Type: BOOK - Published: 2017-11-29 - Publisher: American Mathematical Soc.
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
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
Language: en
Pages: 371
Authors: Kenji Iohara, Philippe Malbos, Masa-Hiko Saito, Nobuki Takayama
Categories: Mathematics
Type: BOOK - Published: 2020-02-20 - Publisher: Springer Nature
This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was
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Language: de
Pages: 260
Authors: Felix Klein
Categories: Group theory
Type: BOOK - Published: 1884 - Publisher:
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Language: de
Pages: 320
Authors: ARNOLD
Categories: Mathematics
Type: BOOK - Published: 2013-03-12 - Publisher: Springer-Verlag
Books about Geometrische Methoden in der Theorie der gewöhnlichen Differentialgleichungen
Regular Solids and Isolated Singularities
Language: en
Pages: 224
Authors: Klaus Lamotke
Categories: Mathematics
Type: BOOK - Published: 1986-01-01 - Publisher: Vieweg+Teubner Verlag
The last book XIII of Euclid's Elements deals with the regular solids which therefore are sometimes considered as crown of classical geometry. More than two thousand years later around 1850 Schl~fli extended the classification of regular solids to four and more dimensions. A few decades later, thanks to the invention
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Language: en
Pages: 479
Authors: Vlastimil Dlab, Claus Michael Ringel
Categories: Mathematics
Type: BOOK - Published: 2004 - Publisher: American Mathematical Soc.
These proceedings are from the Tenth International Conference on Representations of Algebras and Related Topics (ICRA X) held at The Fields Institute. In addition to the traditional ``instructional'' workshop preceding the conference, there were also workshops on ``Commutative Algebra, Algebraic Geometry and Representation Theory'', ``Finite Dimensional Algebras, Algebraic Groups and
Einführung in die kommutative Algebra und algebraische Geometrie
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Pages: 239
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Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer-Verlag
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Language: de
Pages: 102
Authors: Jean Pierre Serre
Categories: Mathematics
Type: BOOK - Published: 2013-03-09 - Publisher: Springer-Verlag
Books about Lineare Darstellungen endlicher Gruppen
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Language: en
Pages:
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Categories: Mathematics
Type: BOOK - Published: 2008-10 - Publisher:
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