论文标题
多公布，泊松均匀空间和多型列品种
Polyubles, Poisson homogeneous spaces and multi-flag varieties
论文作者
论文摘要
Manin三重的多块可以被视为其'$ n $ th power'，它在研究泊松几何，数学物理学和谎言理论的研究中起着重要的规则。在本文中，我们首先在$ mn $ ble和$ m $ uble的$ n $ uble之间构建同构，并指出它是唯一的。然后，我们根据第一个主要结果构建了一类泊松同质空间，并在它们之间获得一类泊松同构形态。最后，我们将前两个主要结果应用于多型型品种以及多双旗品种，并在它们之间以及它们的$ t $ leaeves之间构建一类全球泊松同构。
A polyuble of a Manin triple can be regarded as the ``$n$-th power'' of it, which plays an important rule in the study of Poisson geometry, mathematical physics and Lie theory. In this paper, we first construct an isomorphism between the $mn$-ble and the $n$-ubles of $m$-uble by colored graph and point out it is unique. Then, we construct a class of Poisson homogeneous spaces and obtain a class of Poisson homeomorphisms between them based on the first main result. Last, we apply first two main results to multi-flag varieties as well as multi-double flag varieties and construct a class of global Poisson isomorphisms between them as well as their $T$-leaves.
