Introduction to quiver varieties -- for ring and representation theoriests

Abstract

We review the definition of quiver varieties and their relation to representation theory of Kac-Moody Lie algebras. Target readers are ring and representation theorists. We emphasize important roles of first extension groups of the preprojective algebra associated with a quiver.

arXiv comment19 pages, to appear in the proceeding of 49th Symposium on Ring Theory and Representation Theory at Osaka Prefecture University, 2016 Summer

References in corpus (2)

• Quantum Groups and Quantum Cohomology
• Quivers with loops and generalized crystals

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