超圆上的微分算子：共形等变量子化与符号演算
Differential operators on supercircle: conformally equivariant quantization and symbol calculus
摘要：
我们考虑超圆$S^{1|1}$配备了标准的接触结构。共形李超代数K（1）作为切触向量场的李超代数作用在$S^{1|1}$上;它包含莫比乌斯超代数$osp(1|2)$。本文研究了$osp(1|2)$上加权密度线性微分算子空间作为一个模.我们引入了这个空间和相应的符号空间之间的规范同构，并找到了有趣的共振情况下，这样的同构不存在。
英文摘要：
We consider the supercircle $S^{1|1}$ equipped with the standard contact structure. The conformal Lie superalgebra K(1) acts on $S^{1|1}$ as the Lie superalgebra of contact vector fields; it contains the Möbius superalgebra $osp(1|2)$. We study the space of linear differential operators on weighted densities as a module over $osp(1|2)$. We introduce the canonical isomorphism between this space and the corresponding space of symbols and find interesting resonant cases where such an isomorphism does not exist.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
