An Introduction to Quiver Representations
Language: English
Published by American Mathematical Society, US, 2018
- Hardcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 135.99
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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 learn about application of quiver representations to their fields.…
Seller Inventory # LU-9781470425562
- Title
- An Introduction to Quiver Representations
- Author
- Harm Derksen, Jerzy Weyman
- Publisher
- American Mathematical Society, US
- Publication year
- 2018
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1470425564
- ISBN 13
- 9781470425562
- Item weight
- 760 grams
- Dimensions
- 17.78 x 2.54 x 26.04 cm
- Series
- Book 149 of 190: Graduate Studies in Mathematics
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 learn about application of quiver representations to their fields.
"Synopsis" may belong to another edition of this title.
About the Author
Jerzy Weyman, University of Connecticut, Storrs, CT.
"About the title" may belong to another edition of this title.
Rarewaves.com USA
London, London, United Kingdom
AbeBooks seller since June 11, 2025
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