Homological Methods, Representation Theory, and Cluster Algebras

This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras. The interplay between the topics discussed in this text will continue to grow and this collection of courses stands...

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Bibliographic Details
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing, 2018.
Edition:1st ed. 2018.
Series:CRM Short Courses,
Subjects:
Category theory (Mathematics).
Homological algebra.
Commutative algebra.
Commutative rings.
Combinatorics.
ISBN:9783319745855
ISSN:2522-5200
Online Access: Get full text
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Table of Contents:
  • Introduction to the Representation Theory of Finite-Dimensional Algebras: The Functorial Approach (M. I. Platzeck)
  • Auslander-Reiten Theory for Finite-Dimensional Algebras (P. Malicki).- Cluster Algebras From Surfaces (R. Schiffler)
  • Cluster Characters (P.-G. Plamondon)
  • A Course on Cluster Tilted Algebras (I. Assem)
  • Brauer Graph Algebras (S. Schroll). .

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