It takes the average reader 5 hours and 49 minutes to read An Introduction to Quiver Representations by Harm Derksen
Assuming a reading speed of 250 words per minute. Learn more
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.
An Introduction to Quiver Representations by Harm Derksen is 344 pages long, and a total of 87,376 words.
This makes it 116% the length of the average book. It also has 107% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 57 minutes to read An Introduction to Quiver Representations aloud.
An Introduction to Quiver Representations is suitable for students ages 12 and up.
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