论文标题
左对称保形代数及其应用的共同体学
The cohomology of left-symmetric conformal algebra and its applications
论文作者
论文摘要
在本文中，我们开发了一个左对称保形代数的共同体学理论，并研究了其某些应用。我们定义了左对称保形代数的共同体，然后在左对象保形代数的同构空间与其次级粘附的谎言结构代数之间产生同构。作为共同学理论的应用，我们研究线性变形，正式$ 1 $ - 参数变形，$ t^*$ - 分别对左2级保形代数的扩展，并获得一些属性。
In this paper, we develop a cohomology theory of a left-symmetric conformal algebra and study its some applications. We define the cohomology of a left-symmetric conformal algebra, and then give an isomorphism between the cohomology spaces of the left-symmetric conformal algebra and its sub-adjacent Lie conformal algebra. As applications of the cohomology theory, we study linear deformations, formal $1$-parameter deformations, $T^*$-extensions of a left-symmetric conformal algebra respectively and obtain some properties.
