论文标题
乘法形式和减少泊松的商
Quotients of multiplicative forms and Poisson reduction
论文作者
论文摘要
在本文中，我们研究了具有兼容差异形式的谎言代数和类固醇的商。我们确定这种形式成为基本形式并表征商在商中的谎言条件。我们应用这些结果来描述（扭曲的）泊松和狄拉克结构的广义商和还原过程，以及它们通过（扭曲的，前）符号类固醇的整合。特别是，我们恢复并概括了有关泊松还原的几个已知结果。
In this paper we study quotients of Lie algebroids and groupoids endowed with compatible differential forms. We identify Lie theoretic conditions under which such forms become basic and characterize the induced forms on the quotients. We apply these results to describe generalized quotient and reduction processes for (twisted) Poisson and Dirac structures, as well as to their integration by (twisted, pre-)symplectic groupoids. In particular, we recover and generalize several known results concerning Poisson reduction.
