PrerequisiteYou should be familiar with fundamental notions in algebra and representation theory (basic ring theory, associative algebras, Lie algebras and their universal enveloping algebras, highest weight theory of finite-dimensional Lie algebras). This will be a useful background for the whole course. For the second part of the course, it will be good if you have followed a course on Hopf a...
Description:A cluster algebra is a kind of commutative algebra with a distinguished set of generators organized into overlapping finite subsets called clusters. Though the definition of a cluster algebra seems strange at first encounter, these algebras appear naturally in many areas of mathematics. In the two decades since they were first discovered, cluster algebras have been used to study top...
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