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arxiv: 0908.1158 · v1 · submitted 2009-08-08 · 🧮 math.QA

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

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keywords algebrasconstructioncrystalsgeneralizedgeometrichighestkac-moodyquantum
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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.

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