论文标题
Gelfand-fuchs的同胞仿射超级空间A^（n，1）
Gelfand-Fuchs cohomology for affine superspaces A^(n,1)
论文作者
论文摘要
我们研究了具有微不足道系数的载体超级空间$ \ mathbb {a}^{m，n} $的向量领域的超级级别的共同学。先前已知的结果涵盖了经典案例$ \ mathbb {a}^m = \ mathbb {a}^{m，0} $以及带有$ m \ leq n $的情况。在本文中，我们执行超级空间$ \ mathbb {a}^{m，1} $的计算。
We study the cohomology of Lie superalgebra of vector fields on affine super-spaces $\mathbb{A}^{m,n}$ with trivial coefficients. Previously known results covered the classical case $\mathbb{A}^m = \mathbb{A}^{m,0}$ as well as the case $\mathbb{A}^{m,n}$ with $m \leq n$. In this paper we perform the computation for super-spaces $\mathbb{A}^{m,1}$.
