An Introduction to Quiver Representations

Released on by Harm Derksen
preview-18

  • An Introduction to Quiver Representations Book Detail

  • Author : Harm Derksen
  • Release Date : 2017-11-29
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 346
  • ISBN 13 : 1470425564
  • File Size : 28,28 MB
DOWNLOAD BOOK

An Introduction to Quiver Representations by Harm Derksen PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own An Introduction to Quiver Representations books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

An Introduction to Quiver Representations

An Introduction to Quiver Representations

File Size : 7,7 MB
Total View : 1178 Views
DOWNLOAD

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

Cohomology of Vector Bundles and Syzygies

Cohomology of Vector Bundles and Syzygies

File Size : 58,58 MB
Total View : 5014 Views
DOWNLOAD

The central theme of this book is an exposition of the geometric technique of calculating syzygies. It is written from a point of view of commutative algebra, a

Representation Theory and Beyond

Representation Theory and Beyond

File Size : 56,56 MB
Total View : 3117 Views
DOWNLOAD

This volume contains the proceedings of the Workshop and 18th International Conference on Representations of Algebras (ICRA 2018) held from August 8–17, 2018,

Commutative Algebra

Commutative Algebra

File Size : 57,57 MB
Total View : 8762 Views
DOWNLOAD

This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings to