Cones from quantum groups to tropical flag varieties
Quantum Algebra
2019-12-06 v2 Algebraic Geometry
Rings and Algebras
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.
Cite
@article{arxiv.1911.11828,
title = {Cones from quantum groups to tropical flag varieties},
author = {Xin Fang and Ghislain Fourier and Markus Reineke},
journal= {arXiv preprint arXiv:1911.11828},
year = {2019}
}
Comments
15 pages, v2: statement of Corollary 1 corrected