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arXiv · 0908.1158

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

Seok-Jin Kang·Masaki Kashiwara·Olivier Schiffmann
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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.

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Seok-Jin Kang, Masaki Kashiwara, Olivier Schiffmann. 2009-08-08. Geometric Construction of Highest Weight Crystals for Quantum Generalized Kac-Moody Algebras. https://arxiv.org/abs/0908.1158

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