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

arXiv:0908.1158

Abstract

We present a geometric construction of highest weight crystals 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.

17 pages, Latex