Polytopes, quasi-minuscule representations and rational surfaces

Czechoslovak Mathematical Journal

Jae-Hyouk Lee, Mang Xu, Jiajin Zhang¹ 

关键词: rational surface;    minuscule representation;    polytope;   

DOI  :  10.21136/CMJ.2017.0676-15

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown