Cones from quantum groups to tropical flag varieties

Journal of Algebraic Combinatorics, vol. 54, pp. 815–835

Abstract

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, toK-theoretic cones for quiver representations, and to some maximal prime cones in tropical flag varieties.

Authors 3

1. Xin Fang corresponding

   University of Cologne

   Affiliation as printed

   University of Cologne, Mathematical Institute, Weyertal 86–90, 50931, Cologne, Germany

2. Ghislain Fourier Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen University, Pontdriesch 10–16, 52062, Aachen, Germany

3. Markus Reineke

   Ruhr University Bochum

   Affiliation as printed

   Ruhr-Universität Bochum, Faculty of Mathematics, Universitätsstraße 150, 44780, Bochum, Germany