标题： 一致分级李超代数所保持的结构 显示英文标题

标题： Structures Preserved by Consistently Graded Lie Superalgebras

摘要： 构造了由例外无限维单李超代数 ksle(5|10)、vle(3|6) 和 mb(3|8) 保持的双重 Pfaff 方程（形式为\tilde D^a = 0,\tilde D^a 某些度数为 -1 的向量场），从而给出了这些代数的一个内在几何定义。这导致了对向量场的条件，这些条件被显式求解。写出了保持的微分形式方程（Pfaff 方程）、括号（类似于接触括号）和张量模的表达式。回顾了对于接触超代数 k(1|m)（即无中心 N=m 超共形代数）的类似构造。 显示英文摘要

摘要： Dual Pfaff equations (of the form \tilde D^a = 0, \tilde D^a some vector fields of degree -1) preserved by the exceptional infinite-dimensional simple Lie superalgebras ksle(5|10), vle(3|6) and mb(3|8) are constructed, yielding an intrinsic geometric definition of these algebras. This leads to conditions on the vector fields, which are solved explicitly. Expressions for preserved differential form equations (Pfaff equations), brackets (similar to contact brackets) and tensor modules are written down. The analogous construction for the contact superalgebra k(1|m) (a.k.a. the centerless N=m superconformal algebra) is reviewed.