PARA-GRASSMANN EXTENSIONS OF THE VIRASORO ALGEBRA

The para-Grassmann differential calculus is briefly reviewed. Algebras of the transformations of the para-superplane preserving the form of the para-superderivative are constructed and their geometric meaning i s discussed. A new feature of these algebras is that they contain gene rators of the automorphisms of the para-Grassmann algebra (in addition to Ramond-Neveu-Schwarz-like conformal generators). As a first step i n analyzing these algebras we introduce more tractable multilinear alg ebras not including the new generators. In these algebras there exists a set of multilinear identities based on the cyclic polycommutators. Different possibilities of the closure are therefore admissible. The c entral extensions of the algebras are given. Their number varies from 1 to [P+1/2], depending on the form of the closure chosen. Finally, si mple explicit examples of the paraconformal transformations are given.