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arXiv · 1911.11828

Cones from quantum groups to tropical flag varieties

Xin Fang·Ghislain Fourier·Markus Reineke
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Abstract

We relate quantum degree cones, parametrizing PBW degenerations of quantized enveloping algebras, to (negative tight monomial) cones introduced by Lusztig in the study of monomials in canonical bases, to K-theoretic cones for quiver representations, and to some maximal prime cones in tropical flag varieties.

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Xin Fang, Ghislain Fourier, Markus Reineke. 2019-11-26. Cones from quantum groups to tropical flag varieties. https://arxiv.org/abs/1911.11828

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