86 citations · 274 across the 25 of their papers we have counts for
26 papers
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…
Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras
Irina Shchepochkina
Here, in every simple finite-dimensional vectorial Lie superalgebra considered with the standard grading where every indeterminate is of degree 1, the maximal graded solvable subal…
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…
Non-integrable distributions with simple infinite-dimensional Lie (super)algebras of symmetries
Andrey Krutov, Dimitry Leites, Irina Shchepochkina
Under usual locality assumptions, we classify all non-integrable distributions with simple infinite-dimensional Lie superalgebra of symmetries over : we single out 15 s…
Supertraces on queerified algebras
Dimitry Leites, Irina Shchepochkina
We describe supertraces on ``queerifications'' (see arxiv:2203.06917) of the algebras of matrices of ``complex size'', algebras of observables of Calogero-Moser model, Vasiliev hig…
Analogs of Bol operators for
Sofiane Bouarroudj, Dimitry Leites, Irina Shchepochkina
Bol operators (Bols for short) are differential operators invariant under the projective action of between spaces of weighted densities on…