Homological Methods, Representation Theory, and Cluster Algebras

• Corporate Author: SpringerLink (Online service)
• Other Authors: Assem, Ibrahim (Editor, http://id.loc.gov/vocabulary/relators/edt), Trepode, Sonia (Editor, http://id.loc.gov/vocabulary/relators/edt)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: CRM Short Courses,
• Subjects: Category theory (Mathematics).; Homological algebra.; Commutative algebra.; Commutative rings.; Combinatorics.; Category Theory, Homological Algebra.; Commutative Rings and 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...

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). .