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arxiv: 0810.5493 · v1 · submitted 2008-10-30 · 🧮 math.QA · math.RT

Geometric construction of crystal bases for quantum generalized Kac-Moody algebras

classification 🧮 math.QA math.RT
keywords algebrascrystalgeneralizedgeometrickac-moodyquantumbasescertain
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We provide a geometric realization of the crystal $B(\infty)$ for quantum generalized Kac-Moody algebras in terms of the irreducible components of certain Lagrangian subvarieties in the representation spaces of a quiver.

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