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Quiver Representations

Quivers
Author: Ralf Schiffler
Publisher: Springer
ISBN: 3319092049
Size: 66.96 MB
Format: PDF, ePub
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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 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
Quiver Representations
Language: en
Pages: 230
Authors: Ralf Schiffler
Categories: Mathematics
Type: BOOK - Published: 2014-09-04 - Publisher: Springer
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
The Cone of Effective Weights for Quivers and Horn Type Problems
Language: en
Pages:
Authors: Calin I. Chindris
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher:
Books about The Cone of Effective Weights for Quivers and Horn Type Problems
Lie algebras determined by finite Auslander-Reiten quivers
Language: de
Pages: 12
Authors: Liangang Peng
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher:
Books about Lie algebras determined by finite Auslander-Reiten quivers
North American Bows, Arrows, and Quivers
Language: en
Pages: 49
Authors: Otis T. Mason
Categories: Bow and arrow
Type: BOOK - Published: 1894 - Publisher:
Books about North American Bows, Arrows, and Quivers
The Vegucation of Robin
Language: en
Pages: 261
Authors: Robin Quivers
Categories: Biography & Autobiography
Type: BOOK - Published: 2013 - Publisher: Avery Publishing Group
Reveals how a switch to a vegan lifestyle has been a fundamental part of the author's overall health-improvement goals, sharing memories about her transition to a vegan lifestyle while featuring eighty favorite recipes.
Algebras, Quivers and Representations
Language: en
Pages: 298
Authors: Aslak Bakke Buan, Idun Reiten, Øyvind Solberg
Categories: Mathematics
Type: BOOK - Published: 2013-08-24 - Publisher: Springer Science & Business Media
This book features survey and research papers from The Abel Symposium 2011: Algebras, quivers and representations, held in Balestrand, Norway 2011. It examines a very active research area that has had a growing influence and profound impact in many other areas of mathematics like, commutative algebra, algebraic geometry, algebraic groups
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
Algebras whose Auslander-Reiten quivers have large regular components
Language: de
Pages: 28
Authors: William Crawley-Boevey, Claus Michael Ringel
Categories: Mathematics
Type: BOOK - Published: 1990 - Publisher:
Books about Algebras whose Auslander-Reiten quivers have large regular components
Arrows from Two Quivers
Language: en
Pages: 306
Authors: Richard Henderson Rivers, Henry Clay Morrison
Categories: Methodist Church
Type: BOOK - Published: 1890 - Publisher:
Books about Arrows from Two Quivers