86 citations · 478 across the 67 of their papers we have counts for
47 papers · 1 filter
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…
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…
Gordan-Rankin-Cohen operators on superstrings
V. Bovdi, D. Leites
We distinguish two classifications of bidifferential operators: between (A) spaces of modular forms and (B) spaces of weighted densities. (A) The invariant under the projective act…
On odd parameters in geometry
Dimitry Leites
1) In 1976, looking at simple finite-dimensional complex Lie superalgebras, J.~Bernstein and I, and independently M.~Duflo, observed that certain divergence-free vectorial Lie supe…