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

Mathematics – Quantum Algebra

Scientific paper

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17 pages, Latex

Scientific paper

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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