Polytopes, quasi-minuscule representations and rational surfaces
- 주제(키워드) minuscule representation , polytope , rational surface
- 관리정보기술 faculty
- 등재 SCIE, SCOPUS
- 발행기관 Springer New York LLC
- 발행년도 2017
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000145513
- 본문언어 영어
- Published As http://dx.doi.org/10.21136/CMJ.2017.0676-15
초록/요약
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. © 2017, Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.
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