Introduction to quiver varieties -- for ring and representation theoriests

2016/11/30 by Nakajima, Hiraku · 3 citations
#Algebraic Geometry (math.AG) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1611.10000

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.

Cited by

• Lifting I-functions from the Grassmannians to their cotangent bundles
• Analytical Traces on Coulomb Branches of Quiver Gauge Theories
• Intersections of twisted cotangent bundles and symplectic duality

Related

• Quiver representations respecting a quiver automorphism: a generalisation of a theorem of Kac
• Quivers of type A, flag varieties and representation theory
• Quiver Hecke algebras and 2-Lie algebras
• Representation Theory of Quivers and Finite-Dimensional Algebras
• The monoid of families of quiver representations