论文标题
乘以乘以有限的尺寸简单谎言代数的基本权重的Weyl群轨道与D-Complete Posets之间的关系
Relation between the Weyl group orbits of fundamental weights for multiply-laced finite dimensional simple Lie algebras and d-complete posets
论文作者
论文摘要
众所周知，通过简单的有限维简单谎言代数的微小权重和所有订单过滤器的集合中，Weyl grout轨道之间存在秩序同构。在本文中，我们尝试通过使用关于Dynkin图自动形态的“折叠”技术将此事实扩展到多个倍增的有限维简单谎言代数。
It is known that there exists an order isomorphism between the Weyl group orbit through a minuscule weight of a simply-laced finite-dimensional simple Lie algebra and the set of all order filters in a self-dual connected d-complete poset. In this paper, we try to extend this fact to the case of multiply-laced finite-dimensional simple Lie algebras by using the "folding" technique with respect to a Dynkin diagram automorphism.
