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math.RT2026
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…
math.RT2026
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…
math.RT2026
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…