4 papers
Gordan-Rankin-Cohen operators on the spaces of weighted densities in superdimension
V. Bovdi, D. Leites
The modular forms and weighted densities over the 1-dimensional manifold are transformed ``alike" under the group of linear fractional changes of coordinates, so the classifica…
Computer-aided study of double extensions of restricted Lie superalgebras preserving the non-degenerate closed 2-forms in characteristic 2
Sofiane Bouarroudj, Dimitry Leites, Jin Shang
A Lie (super)algebra with a non-degenerate invariant symmetric bilinear form is called a nis-(super)algebra. The double extension of a nis-(super)algebra $\mathf…
On realisations of the Steenrod algebras
Alexei Lebedev, Dimitry Leites
The Steenrod algebra can not be realised as an enveloping of any Lie superalgebra. We list several problems that suggest a need to modify the definition of the enveloping algebra,…
Non-split superstrings of dimension
Dimitry Leites, Alexander S. Tikhomirov
Any supermanifold diffeomorphic to one whose structure sheaf is the sheaf of sections of a~vector bundle over the underlying manifold is called split. GawÈ©dzki (1977) and Batchelo…