论文标题
莱布尼兹代数的跨同构的同型同态的变形理论
Cohomology and Deformation theory of crossed homomorphisms on Leibniz algebras
论文作者
论文摘要
在本文中，我们构建了一个差异分级的谎言代数，其毛勒 - 卡丹元素是由莱布尼兹代数的交叉同态给出的。这使我们能够为跨性同态定义共同体。最后，我们研究了跨同构理论的线性变形，形式变形和有限顺序变形的扩展性。
In this paper, we construct a differential graded Lie algebra whose Maurer-Cartan elements are given by crossed homomorphisms on Leibniz algebras. This allows us to define cohomology for a crossed homomorphism. Finally, we study linear deformations, formal deformations and extendibility of finite order deformations of a crossed homomorphism in terms of the cohomology theory.
