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math.QA2019★ 1 cited
Cones from quantum groups to tropical flag varieties
Xin Fang, Ghislain Fourier, Markus Reineke
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…
math.QA2006★ 40 cited
Demazure structure inside Kirillov-Reshetikhin crystals
Ghislain Fourier, Anne Schilling, Mark Shimozono
The conjecturally perfect Kirillov-Reshetikhin (KR) crystals are known to be isomorphic as classical crystals to certain Demazure subcrystals of crystal graphs of irreducible highe…