论文标题
概括Lusztig的总积极性
Generalizing Lusztig's total positivity
论文作者
论文摘要
我们在真正的简单谎言组中介绍了$θ$ - 积极性的概念。同时，这一概念概括了卢斯蒂格（Lusztig）在分裂的真实谎言群体中的总积极性和在遗产类型的谎言群体中的不变命令。我们表明，有四个谎言组的家族，它们接纳$θ$阳性结构，并研究$θ$ - 阳性的基本属性。
We introduce the notion of $Θ$-positivity in real simple Lie groups. This notion at the same time generalizes Lusztig's total positivity in split real Lie groups and invariant orders in Lie groups of Hermitian type. We show that there are four families of Lie groups which admit $Θ$-positive structures, and investigate basic properties of $Θ$-positivity.
