Analogs of Bol operators on superstrings

Sofiane Bouarroudj, Dimitry Leites, Irina Shchepochkina

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)807-835
Number of pages29
JournalInternational Journal of Algebra and Computation
Issue number4
StatePublished - Jun 1 2022


  • Bol operator
  • Lie superalgebra
  • Veblen's problem
  • invariant differential operator
  • superstring

ASJC Scopus subject areas

  • General Mathematics


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