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) M, 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 M and containing all elements of negative degree of in a Z-grading. We also consider the Lie superalgebras of vector fields g preserving a contact structure on the superstring M. We have discovered many new operators.
- Bol operator
- invariant differential operator
- Lie superalgebra
- Veblen's problem
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