A Kind Of Single - Mode Of Super Virasoro Algebra And Its Realization

Virasoro algebra and its superalgebra which has important applications in mathematics and physics and many other fields. Many articles have studied the structure of order Virasoro algebra and its representation. In recent years the re-search on this topic is also more active.In this paper, we study the development status, trend and significance of Lie algebras,lie superalgebra and Virasoro algebrasThen introduces the definition of super-Virasoro algebras and related basic knowledge; induce modulo algebra over super-Virasoro algebra, by proving the sub-module induced module with its own equal,to prove that the simple of super-Virasoro algebra.Finally, by the proof of some new simple module isomorphism with super-Virasoro simple module, put it into realization, and gives examples.