@article{73ae55e72bc043e7af52764524a1d873,
title = "Polytopes, quasi-minuscule representations and rational surfaces",
abstract = "We describe the relation between quasi-minuscule representations, polytopes and Weyl group orbits in Picard lattices of rational surfaces. As an application, to each quasi-minuscule representation we attach a class of rational surfaces, and realize such a representation as an associated vector bundle of a principal bundle over these surfaces. Moreover, any quasi-minuscule representation can be defined by rational curves, or their disjoint unions in a rational surface, satisfying certain natural numerical conditions.",
keywords = "minuscule representation, polytope, rational surface",
author = "Lee, {Jae Hyouk} and Mang Xu and Jiajin Zhang",
note = "Funding Information: The first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2013R1A1A2012783). The second author is supported by NSFC (Project No. 11401489), and the third author is supported by NCET-13-0396 and NSFC (Project No. 11271268). Publisher Copyright: {\textcopyright} 2017, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.",
year = "2017",
month = jun,
day = "1",
doi = "10.21136/CMJ.2017.0676-15",
language = "English",
volume = "67",
pages = "397--415",
journal = "Czechoslovak Mathematical Journal",
issn = "0011-4642",
publisher = "Springer New York",
number = "2",
}