论文标题
lie-nijenhuis bialgebroids
Lie-Nijenhuis bialgebroids
论文作者
论文摘要
我们将lie-nijenhuis bialgebroids介绍为具有额外的类似派生的对象的谎言。它们对泊松 - 尼尼岛类的无限描述进行了完整的无限描述，关键例子包括泊松 - 尼尼豪斯歧管，全态谎言bialgebroids和扁平的lie bialgebra捆绑包。为了实现我们的目标，我们发展了一种“广义推导”及其二元性的理论，从而扩展了对向量捆绑包的衍生理论。
We introduce Lie-Nijenhuis bialgebroids as Lie bialgebroids endowed with an additional derivation-like object. They give a complete infinitesimal description of Poisson-Nijenhuis groupoids, and key examples include Poisson-Nijenhuis manifolds, holomorphic Lie bialgebroids and flat Lie bialgebra bundles. To achieve our goal we develop a theory of "generalized derivations" and their duality, extending the well-established theory of derivations on vector bundles.
