Geometric Construction of Highest Weight Crystals for Quantum Generalized Kac-moody Algebras


We present a geometric construction of highest weight crystals B(λ) for quantum generalized Kac-Moody algebras. It is given in terms of the irreducible components of certain Lagrangian subvarieties of Nakajima’s quiver varieties associated to quivers with edge loops. Introduction The 1990’s saw a great deal of interesting interplay between the geometry of… (More)