Maximal Graded Solvable Subalgebras of Simple Finite-Dimensional Vectorial Lie Superalgebras

Irina Shchepochkina

Independent University of Moscow, 11 B. Vlasievsky per., 119 002 Moscow, Russia

Abstract: 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 subalgebras are classified over $\mathbb{C}$.

Keywords: Lie superalgebra, Lie algebra, maximal subalgebra, solvable subalgebra.

MSC: 17B20, 17B30

Received: March 6, 2025; in final form June 19, 2025; Published online June 24, 2025

Language: English

DOI: 10.3842/SIGMA.2025.047

ArXiv: 2503.03339