For modular Lie superalgebras, new notions are introduced: Divided power
homology and divided power cohomology. For illustration, we give presentations
(in terms of analogs of Chevalley generators) of finite dimensional Lie
(super)algebras with indecomposable Cartan matrix in characteristic 2 (and in
other characteristics for completeness of the picture).
We correct the currently available in the literature notions of Chevalley
generators and Cartan matrix in the modular and super cases, and an auxiliary
notion of the Dynkin diagram.