Classification of Simple Lie Superalgebras in Characteristic 2

Abstract All results concern characteristic 2. We describe two procedures; each of which to every simple Lie algebra assigns a superalgebra. prove that finite-dimensional superalgebra is obtained as the result one these procedures. For algebras, in addition known “classical” restrictedness, we introduce (2,4)-structure on non-alternating series: orthogonal and Hamiltonian vector fields. superalgebras, classical restrictedness algebras has analogs: $2|4$-structure, direct analog novel $2|2$-structure—one more analog, $(2,4)|4$-structure superalgebras only for series.