Minimal system of defining relations for some Lie superalgebras (Q1392321)

The author considers a triangular decomposition \(L= L_-\oplus L_0\oplus L_+\) in superalgebras \(\text{sl}(n,n)\), \(\text{sl}(n+1,n)\) and \(H(2,1)\). The latter is the superalgebra of (polynomial) Hamiltonian vector fields, or fields preserving the form \(dp\wedge dq+(d\xi)^2\). The author writes generators for \(L_-\) and then computes relations between them for all three cases. The computations as usual are calculations of \(H_2(L)\) of 2-homologies. The text is rather short, many details are skipped.