Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 21 (2025), 047, 11 pages      arXiv:2503.03339      https://doi.org/10.3842/SIGMA.2025.047

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

Received March 06, 2025, in final form June 19, 2025; Published online June 24, 2025

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 $\mathbb{C}$.

Key words: Lie superalgebra; Lie algebra; maximal subalgebra; solvable subalgebra.

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