3 papers
math.RT2025
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…
math.DG2024
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…
math.RT2024
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…