86 citations · 478 across the 67 of their papers we have counts for
72 papers
Maximal subalgebras in the three exceptional simple finite-dimensional Lie superalgebras
Dimitry Leites, Oleksandr Lozhechnyk
Dynkin classified the maximal subalgebras of the simple finite-dimensional Lie algebras. The super version of his problem is solved, for the matrix Lie superalgebras, by Shchepochk…
Maximal graded subalgebras of simple vectorial Lie superalgebras with polynomial coefficients
Dimitry Leites, Irina Shchepochkina
S. Lie was the first to try to classify maximal subalgebras of simple vectorial (i.e., consisting of vector fields) Lie algebras with polynomial coefficients. In Appendix it is sho…
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…
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. Gawȩdzki (1977) and Batchelor…
The classification of simple complex Lie superalgebras of polynomial vector fields and their deformations
Dimitry Leites, Irina Shchepochkina
We overview classifications of simple infinite-dimensional complex -graded Lie (super)algebras of polynomial growth, and their deformations. A subset of such Lie (super…