The Bol operators are unary differential operators between spaces of weighted densities on the 1-dimensional manifold invariant under projective transformations of the manifold. On the 1|n-dimensional supermanifold (superstring), we classify analogs of Bol operators invariant under the simple maximal subalgebra of the same rank as its simple ambient superalgebra of vector fields on and containing all elements of negative degree of in a -grading. We also consider the Lie superalgebras of vector fields preserving a contact structure on the superstring . We have discovered many new operators.
- Bol operator
- Lie superalgebra
- Veblen's problem
- invariant differential operator
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