论文标题
$γ$颜色的$ d $ - complete posets和上$ p $ -minuscule borel表示的分类
Classifications of $Γ$-colored $d$-complete posets and upper $P$-minuscule Borel representations
论文作者
论文摘要
$γ$颜色的$ d $ complete posets对应于某些类似于Semisimple Lie代数的微小表示形式的Borel表示。我们对$γ$颜色的$ d $ complete posets进行了分类，该posets指定了相关表示的结构。我们表明，有限的$γ$颜色$ d $ complete posets恰恰是J.R. STEMBRIDGE的主要小堆堆。这些堆是R.A.有色$ d $ complete posets的重新汇报和扩展。 Proctor。我们还表明，连接的无限$γ$颜色的$ d $ complete posets是R.M.连接的完整堆的订单过滤器绿色的。
The $Γ$-colored $d$-complete posets correspond to certain Borel representations that are analogous to minuscule representations of semisimple Lie algebras. We classify $Γ$-colored $d$-complete posets which specifies the structure of the associated representations. We show that finite $Γ$-colored $d$-complete posets are precisely the dominant minuscule heaps of J.R. Stembridge. These heaps are reformulations and extensions of the colored $d$-complete posets of R.A. Proctor. We also show that connected infinite $Γ$-colored $d$-complete posets are precisely order filters of the connected full heaps of R.M. Green.
